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5 (five) is a
number A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers c ...
, numeral and
digit Digit may refer to: Mathematics and science * Numerical digit, as used in mathematics or computer science ** Hindu-Arabic numerals, the most common modern representation of numerical digits * Digit (anatomy), the most distal part of a limb, such ...
. It is the
natural number In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal n ...
, and
cardinal number In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets. The cardinality of a finite set is a natural number: the number of elements in the set. Th ...
, following 4 and preceding 6, and is a
prime number A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
. It has attained significance throughout history in part because typical humans have five
digit Digit may refer to: Mathematics and science * Numerical digit, as used in mathematics or computer science ** Hindu-Arabic numerals, the most common modern representation of numerical digits * Digit (anatomy), the most distal part of a limb, such ...
s on each hand.


In mathematics

5 is the third smallest
prime number A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
, and the second
super-prime Super-prime numbers, also known as higher-order primes or prime-indexed primes (PIPs), are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins :3, 5, 11, 17, 31, ...
. It is the first safe prime, the first
good prime A good prime is a prime number whose square is greater than the product of any two primes at the same number of positions before and after it in the sequence of primes. That is, good prime satisfies the inequality :p_n^2 > p_ \cdot p_ for all 1 â ...
, the first
balanced prime In number theory, a balanced prime is a prime number with equal-sized prime gaps above and below it, so that it is equal to the arithmetic mean of the nearest primes above and below. Or to put it algebraically, given a prime number p_n, where is it ...
, and the first of three known
Wilson prime In number theory, a Wilson prime is a prime number p such that p^2 divides (p-1)!+1, where "!" denotes the factorial function; compare this with Wilson's theorem, which states that every prime p divides (p-1)!+1. Both are named for 18th-century E ...
s. Five is the second Fermat prime and the third
Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
exponent, as well as the third Catalan number, and the third Sophie Germain prime. Notably, 5 is equal to the sum of the ''only'' consecutive primes, 2 + 3, and is the only number that is part of more than one pair of
twin prime A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin pr ...
s, ( 3, 5) and (5, 7). It is also a
sexy prime In number theory, sexy primes are prime numbers that differ from each other by 6. For example, the numbers 5 and 11 are both sexy primes, because both are prime and . The term "sexy prime" is a pun stemming from the Latin word for six: . If o ...
with the fifth prime number and first prime repunit, 11. Five is the third
factorial prime A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes (for ''n'' = 1, 2, 3, 4, 6, 7, 11, 12, 14) are : : 2 (0! +&n ...
, an
alternating factorial Alternating may refer to: Mathematics * Alternating algebra, an algebra in which odd-grade elements square to zero * Alternating form, a function formula in algebra * Alternating group, the group of even permutations of a finite set * Alternati ...
, and an Eisenstein prime with no imaginary part and real part of the form 3p − 1. In particular, five is the first
congruent number In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition includes all positive rational numbers with this property. The sequence of (integer) cong ...
, since it is the length of the hypotenuse of the smallest integer-sided right triangle. Five is the second Fermat prime of the form 2^+ 1, and more generally the second SierpiƄski number of the first kind, n^n+ 1. There are a total of five known Fermat primes, which also include 3, 17,
257 __NOTOC__ Year 257 ( CCLVII) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Valerianus and Gallienus (or, less frequently, year 10 ...
, and
65537 65537 is the integer after 65536 and before 65538. In mathematics 65537 is the largest known prime number of the form 2^ +1 (n = 4). Therefore, a regular polygon with 65537 sides is constructible with compass and unmarked straightedge. Johann ...
. The sum of the first 3 Fermat primes, 3, 5 and 17, yields 25 or 52, while 257 is the 55th prime number. Combinations from these 5 Fermat primes generate 31 polygons with an
odd Odd means unpaired, occasional, strange or unusual, or a person who is viewed as eccentric. Odd may also refer to: Acronym * ODD (Text Encoding Initiative) ("One Document Does it all"), an abstracted literate-programming format for describing X ...
number of sides that can be construncted purely with a compass and straight-edge, which includes the five-sided regular pentagon. Apropos, 31 is also equal to the sum of the maximum number of
area Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or ''plane area'' refers to the area of a shape A shape or figure is a graphics, graphical representation of an obje ...
s inside a circle that are formed from the sides and diagonals of the first five n-sided
polygon In geometry, a polygon () is a plane figure that is described by a finite number of straight line segments connected to form a closed ''polygonal chain'' (or ''polygonal circuit''). The bounded plane region, the bounding circuit, or the two toge ...
s, and equal to the maximum number of areas formed by a six-sided polygon; per
Moser's circle problem The number of and for first 6 terms of Moser's circle problem In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with ''n'' sides in such a way as to ''maximise'' the number of areas created by the edges an ...
. The number 5 is the fifth Fibonacci number, being 2 plus 3. It is the only Fibonacci number that is equal to its position aside from 1, which is both the first and second Fibonacci numbers. Five is also a Pell number and a Markov number, appearing in solutions to the Markov Diophantine equation: (1, 2, 5), (1, 5, 13), (2, 5, 29), (5, 13,
194 Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 '' Ab urbe ...
), (5, 29, 433), ... ( lists Markov numbers that appear in solutions where one of the other two terms is 5). Whereas 5 is unique in the Fibonacci sequence, in the Perrin sequence 5 is both the fifth and sixth
Perrin number In mathematics, the Perrin numbers are defined by the recurrence relation : for , with initial values :. The sequence of Perrin numbers starts with : 3, 0, 2, 3, 2, 5, 5, 7, 10, 12, 17, 22, 29, 39, ... The number of different maxima ...
s. 5 is the third Mersenne prime exponent of the form 2^n − 1, which yields 31: the prime index of the third
Mersenne prime In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17t ...
and second double Mersenne prime
127 127 may refer to: *127 (number), a natural number *AD 127, a year in the 2nd century AD *127 BC, a year in the 2nd century BC *127 (band), an Iranian band See also *List of highways numbered 127 Route 127 or Highway 127 can refer to multiple roads ...
, as well as the third double Mersenne prime exponent for the number
2,147,483,647 The number 2,147,483,647 is the eighth Mersenne prime, equal to 231 âˆ’ 1. It is one of only four known double Mersenne primes. The primality of this number was proven by Leonhard Euler, who reported the proof in a letter to Daniel ...
, which is the largest value that a signed
32-bit In computer architecture, 32-bit computing refers to computer systems with a processor, memory, and other major system components that operate on data in 32-bit units. Compared to smaller bit widths, 32-bit computers can perform large calculation ...
integer field can hold. There are only four known double Mersenne prime numbers, with a fifth candidate double Mersenne prime M_ = 223058...93951 − 1 too large to compute with current computers. In a related sequence, the first 5 terms in the sequence of Catalan–Mersenne numbers M_ are the only known prime terms, with a sixth possible candidate in the order of 101037.7094. These prime sequences are conjectured to be prime up to a certain limit. Every odd number greater than 1 is the sum of at most five prime numbers, and every odd number greater than 5 is conjectured to be expressible as the sum of three prime numbers. Helfgtott has provided a proof of the latter, also known as the
odd Goldbach conjecture In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states that : Every odd number greater than 5 can be expressed as the sum of three primes. (A prime ma ...
, that is already widely acknowledged by mathematicians as it still undergoes
peer-review Peer review is the evaluation of work by one or more people with similar competencies as the producers of the work (peers). It functions as a form of self-regulation by qualified members of a profession within the relevant field. Peer review ...
. The sums of the first five non-primes greater than zero 1 + 4 + 6 + 8 + 9 and the first five prime numbers 2 + 3 + 5 + 7 + 11 both equal 28; the 7th
triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...
and like 6 a
perfect number In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3 (excluding itself), and 1 + 2 + 3 = 6, so 6 is a perfect number. T ...
, which also includes 496, the 31st triangular number and perfect number of the form 2^−1(2^ − 1) with a p of 5, by the
Euclid–Euler theorem The Euclid–Euler theorem is a theorem in number theory that relates perfect numbers to Mersenne primes. It states that an even number is perfect if and only if it has the form , where is a prime number. The theorem is named after mathematician ...
. There are a total of five known
unitary perfect number A unitary perfect number is an integer which is the sum of its positive proper unitary divisors, not including the number itself (a divisor ''d'' of a number ''n'' is a unitary divisor if ''d'' and ''n''/''d'' share no common factors). Some perfect ...
s, which are numbers that are the sums of their positive proper unitary divisors. A sixth unitary number, if discovered, would have at least nine odd prime factors. Five is
conjecture In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 19 ...
d to be the only odd
untouchable number An untouchable number is a positive integer that cannot be expressed as the sum of all the proper divisors of any positive integer (including the untouchable number itself). That is, these numbers are not in the image of the aliquot sum function. ...
, and if this is the case then five will be the only odd prime number that is not the base of an aliquot tree. In figurate numbers, 5 is a pentagonal number, with the
sequence In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is calle ...
of pentagonal numbers starting: 1, 5, 12, 22, 35, ... * 5 is a
centered tetrahedral number A centered tetrahedral number is a centered figurate number that represents a tetrahedron In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, ...
: 1, 5, 15, 35, 69, ... Every centered tetrahedral number with an index of 2, 3 or 4
modulo In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the '' modulus'' of the operation). Given two positive numbers and , modulo (often abbreviated as ) is t ...
5 is divisible by 5. * 5 is a
square pyramidal number In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the number of stacked spheres in a pyramid with a square base. The study of these numbers goes back to Archimedes and Fibonacci. They are part of a broa ...
: 1, 5, 14, 30, 55, ... The sum of the first four members is 50 while the fifth indexed member in the sequence is 55. * 5 is a centered square number: 1, 5, 13, 25, 41, ... The fifth
square number In mathematics, a square number or perfect square is an integer that is the square (algebra), square of an integer; in other words, it is the multiplication, product of some integer with itself. For example, 9 is a square number, since it equals ...
or 52 is 25, which features in the proportions of the two smallest (3, 4, 5) and (5, 12, 13) ''primitive'' Pythagorean triples. The
factorial In mathematics, the factorial of a non-negative denoted is the product of all positive integers less than or equal The factorial also equals the product of n with the next smaller factorial: \begin n! &= n \times (n-1) \times (n-2) \t ...
of five, or 5 ! = 120, is the sum of the first fifteen non-zero positive
integer An integer is the number zero (), a positive natural number (, , , etc.) or a negative integer with a minus sign (−1, −2, −3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. In the language ...
s, and 15th
triangular number A triangular number or triangle number counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The th triangular number is the number of dots in ...
, which in turn is the sum of the first five non-zero positive integers and 5th triangular number. 35, which is the fourth or fifth pentagonal and tetrahedral number, is equal to the sum of the first five triangular numbers: 1, 3, 6, 10, 15. 5 is the value of the central cell of the only non-trivial normal magic square, also called the ''Lo Shu'' square. Its 3 x 3 array of squares has a
magic constant The magic constant or magic sum of a magic square is the sum of numbers in any row, column, or diagonal of the magic square. For example, the magic square shown below has a magic constant of 15. For a normal magic square of order ''n'' – that is ...
M of 15, where the sums of its rows, columns, and diagonals are all equal to fifteen. 5 is also the value of the central cell the only non-trivial order-3 normal magic hexagon that is made of nineteen cells.
Polynomial In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. An exa ...
equations of degree and below can be solved with radicals, while quintic equations of degree 5, and higher, cannot generally be so solved. This is the Abel–Ruffini theorem. This is related to the fact that the symmetric group \mathrm_ is a solvable group for ''n'' â©œ 4 and not solvable for ''n'' â©Ÿ 5.
Euler's identity In mathematics, Euler's identity (also known as Euler's equation) is the equality e^ + 1 = 0 where : is Euler's number, the base of natural logarithms, : is the imaginary unit, which by definition satisfies , and : is pi, the ratio of the circum ...
, e^+ 1 = 0, contains five essential
number A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words. More universally, individual numbers c ...
s used widely in mathematics:
Archimedes' constant The number (; spelled out as "pi") is a mathematical constant that is the ratio of a circle's circumference to its diameter, approximately equal to 3.14159. The number appears in many formulas across mathematics and physics. It is an irratio ...
\pi, Euler's number e, the
imaginary number An imaginary number is a real number multiplied by the imaginary unit , is usually used in engineering contexts where has other meanings (such as electrical current) which is defined by its property . The square of an imaginary number is . Fo ...
i,
unity Unity may refer to: Buildings * Unity Building, Oregon, Illinois, US; a historic building * Unity Building (Chicago), Illinois, US; a skyscraper * Unity Buildings, Liverpool, UK; two buildings in England * Unity Chapel, Wyoming, Wisconsin, US; a h ...
1, and
zero 0 (zero) is a number representing an empty quantity. In place-value notation Positional notation (or place-value notation, or positional numeral system) usually denotes the extension to any base of the Hindu–Arabic numeral system (or ...
0, which makes this formula a renown example of beauty in mathematics.


In geometry

A pentagram, or five-pointed
polygram PolyGram N.V. was a multinational entertainment company and major music record label formerly based in the Netherlands. It was founded in 1962 as the Grammophon-Philips Group by Dutch corporation Philips and German corporation Siemens, to be a ...
, is the first proper
star polygon In geometry, a star polygon is a type of non-convex polygon. Regular star polygons have been studied in depth; while star polygons in general appear not to have been formally defined, certain notable ones can arise through truncation operations ...
constructed from the diagonals of a regular pentagon as self-intersecting edges that are proportioned in golden ratio, \varphi. Its internal geometry appears prominently in
Penrose tilings A Penrose tiling is an example of an aperiodic tiling. Here, a ''tiling'' is a covering of two-dimensional space, the plane by non-overlapping polygons or other shapes, and ''aperiodic'' means that shifting any tiling with these shapes by any fin ...
, and is a facet inside Kepler-Poinsot star polyhedra and SchlĂ€fli–Hess star polychora, represented by its
SchlÀfli symbol In geometry, the SchlÀfli symbol is a notation of the form \ that defines regular polytopes and tessellations. The SchlÀfli symbol is named after the 19th-century Swiss mathematician Ludwig SchlÀfli, who generalized Euclidean geometry to more ...
. A similar figure to the pentagram is a five-pointed
simple Simple or SIMPLE may refer to: *Simplicity, the state or quality of being simple Arts and entertainment * ''Simple'' (album), by Andy Yorke, 2008, and its title track * "Simple" (Florida Georgia Line song), 2018 * "Simple", a song by Johnn ...
isotoxal In geometry, a polytope (for example, a polygon or a polyhedron) or a tiling is isotoxal () or edge-transitive if its symmetries act transitively on its edges. Informally, this means that there is only one type of edge to the object: given two ...
star ☆ without self-intersecting edges. Generally, star polytopes that are regular only exist in
dimension In physics and mathematics, the dimension of a Space (mathematics), mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any Point (geometry), point within it. Thus, a Line (geometry), lin ...
s 2 ⩜ n < 5. In
graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conne ...
, all
graphs Graph may refer to: Mathematics *Graph (discrete mathematics), a structure made of vertices and edges **Graph theory, the study of such graphs and their properties *Graph (topology), a topological space resembling a graph in the sense of discre ...
with 4 or fewer vertices are planar, however, there is a graph with 5 vertices that is not: ''K''5, the complete graph with 5 vertices, where every pair of distinct vertices in a pentagon is joined by unique edges belonging to a pentagram. By
Kuratowski's theorem In graph theory, Kuratowski's theorem is a mathematical forbidden graph characterization of planar graphs, named after Kazimierz Kuratowski. It states that a finite graph is planar if and only if it does not contain a subgraph that is a subdivi ...
, a finite graph is planar
iff In logic and related fields such as mathematics and philosophy, "if and only if" (shortened as "iff") is a biconditional logical connective between statements, where either both statements are true or both are false. The connective is bicon ...
it does not contain a subgraph that is a subdivision of ''K''5, or the complete bipartite utility graph ''K''3,3. A similar graph is the Petersen graph, which is strongly connected and also nonplanar. It is most easily described as graph of a pentagram ''embedded'' inside a pentagon, with a total of 5
crossings Crossings may refer to: * ''Crossings'' (Buffy novel), a 2002 original novel based on the U.S. television series ''Buffy the Vampire Slayer'' * Crossings (game), a two-player abstract strategy board game invented by Robert Abbott * ''Crossings'' ...
, a
girth Girth may refer to: ;Mathematics * Girth (functional analysis), the length of the shortest centrally symmetric simple closed curve on the unit sphere of a Banach space * Girth (geometry), the perimeter of a parallel projection of a shape * Girth ...
of 5, and a
Thue number In the mathematical area of graph theory, the Thue number of a graph is a variation of the chromatic index, defined by and named after mathematician Axel Thue, who studied the squarefree words used to define this number. Alon et al. define a ''no ...
of 5. The Petersen graph, which is also a distance-regular graph, is one of only 5 known connected
vertex-transitive In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure. This implies that each vertex is surrounded by the same kinds of face in ...
graphs with no Hamiltonian cycles.Royle, G
"Cubic Symmetric Graphs (The Foster Census)."
The automorphism group of the Petersen graph is the symmetric group \mathrm_ of
order Order, ORDER or Orders may refer to: * Categorization, the process in which ideas and objects are recognized, differentiated, and understood * Heterarchy, a system of organization wherein the elements have the potential to be ranked a number of d ...
120 = 5!. The chromatic number of the plane is at least five, depending on the choice of set-theoretical axioms: the minimum number of colors required to color the plane such that no pair of points at a distance of 1 has the same color. Whereas the hexagonal
Golomb graph In graph theory, the Golomb graph is a polyhedral graph with 10 vertices and 18 edges. It is named after Solomon W. Golomb, who constructed it (with a non-planar embedding) as a unit distance graph that requires four colors in any graph colorin ...
and the regular
hexagonal tiling In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has SchlÀfli symbol of or (as a truncated triangular tiling). English mathemat ...
generate chromatic numbers of 4 and 7, respectively, a chromatic coloring of 5 can be attained under a more complicated graph where multiple four-coloring
Moser spindle In graph theory, a branch of mathematics, the Moser spindle (also called the Mosers' spindle or Moser graph) is an undirected graph, named after mathematicians Leo Moser and his brother William, with seven vertices and eleven edges. It is a unit d ...
s are linked so that no monochromatic triples exist in any coloring of the overall graph, as that would generate an equilateral arrangement that tends toward a purely hexagonal
structure A structure is an arrangement and organization of interrelated elements in a material object or system, or the object or system so organized. Material structures include man-made objects such as buildings and machines and natural objects such as ...
. The
plane Plane(s) most often refers to: * Aero- or airplane, a powered, fixed-wing aircraft * Plane (geometry), a flat, 2-dimensional surface Plane or planes may also refer to: Biology * Plane (tree) or ''Platanus'', wetland native plant * Planes (gen ...
contains a total of five
Bravais lattice In geometry and crystallography, a Bravais lattice, named after , is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by : \mathbf = n_1 \mathbf_1 + n_2 \mathbf_2 + n_ ...
s, or arrays of
points Point or points may refer to: Places * Point, Lewis, a peninsula in the Outer Hebrides, Scotland * Point, Texas, a city in Rains County, Texas, United States * Point, the NE tip and a ferry terminal of Lismore, Inner Hebrides, Scotland * Point ...
defined by discrete
translation Translation is the communication of the Meaning (linguistic), meaning of a #Source and target languages, source-language text by means of an Dynamic and formal equivalence, equivalent #Source and target languages, target-language text. The ...
operations:
hexagonal In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A '' regular hexagon'' has ...
, oblique, rectangular, centered rectangular, and square lattices. The plane can also be tiled monohedrally with convex
pentagons In geometry, a pentagon (from the Greek πέΜτΔ ''pente'' meaning ''five'' and ÎłÏ‰ÎœÎŻÎ± ''gonia'' meaning ''angle'') is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simpl ...
in fifteen different ways, three of which have
Laves tiling This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight semiregular tilings in the plane. The semiregular tilings form new tilings from their dua ...
s as special cases. Five points are needed to determine a
conic section In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a specia ...
, in the same way that two points are needed to determine a line. A
Veronese surface In mathematics, the Veronese surface is an algebraic surface in five-dimensional projective space, and is realized by the Veronese embedding, the embedding of the projective plane given by the complete linear system of conics. It is named after Giu ...
in the projective plane \mathbb^5 of a conic generalizes a
linear Linearity is the property of a mathematical relationship (''function'') that can be graphically represented as a straight line. Linearity is closely related to '' proportionality''. Examples in physics include rectilinear motion, the linear r ...
condition for a point to be contained inside a conic. There are 5 Platonic solids in
three-dimensional space Three-dimensional space (also: 3D space, 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called ''parameters'') are required to determine the position (geometry), position of an element (i.e., Point (m ...
: the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. The dodecahedron in particular contains pentagonal faces, while the
icosahedron In geometry, an icosahedron ( or ) is a polyhedron with 20 faces. The name comes and . The plural can be either "icosahedra" () or "icosahedrons". There are infinitely many non- similar shapes of icosahedra, some of them being more symmetrica ...
, its
dual polyhedron In geometry, every polyhedron is associated with a second dual structure, where the vertices of one correspond to the faces of the other, and the edges between pairs of vertices of one correspond to the edges between pairs of faces of the other. ...
, has a
vertex figure In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off. Definitions Take some corner or Vertex (geometry), vertex of a polyhedron. Mark a point somewhere along each connect ...
that is a regular pentagon. There are also 5: ☆ Regular polyhedron compounds: the stella octangula, compound of five tetrahedra, compound of five cubes, compound of five octahedra, and compound of ten tetrahedra. Icosahedral symmetry \mathrm I_ is
isomorphic In mathematics, an isomorphism is a structure-preserving mapping between two structures of the same type that can be reversed by an inverse mapping. Two mathematical structures are isomorphic if an isomorphism exists between them. The word is ...
to the alternating group on 5 letters \mathrm A_ of order 120, realized by actions on these uniform polyhedron compounds. ☆ Space-filling
convex polyhedra A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n-dimensional Euclidean space \mathbb^n. Most texts. use the term "polytope" for a bounded convex polytope, and the wo ...
: the triangular prism, hexagonal prism, cube, truncated octahedron, and
gyrobifastigium In geometry, the gyrobifastigium is the 26th Johnson solid (). It can be constructed by joining two face-regular triangular prisms along corresponding square faces, giving a quarter-turn to one prism. It is the only Johnson solid that can tile ...
. While the cube is the only Platonic solid that can tessellate space on its own, the truncated octahedron and the gyrobifastigium are the only Archimedean and
Johnson solid In geometry, a Johnson solid is a strictly convex polyhedron each face of which is a regular polygon. There is no requirement that isohedral, each face must be the same polygon, or that the same polygons join around each Vertex (geometry), ver ...
s, respectively, that can also tessellate space with their own copies. ☆ Cell-transitive parallelohedra: any
parallelepiped In geometry, a parallelepiped is a three-dimensional figure formed by six parallelograms (the term ''rhomboid'' is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square. In Euclidea ...
, as well as the rhombic dodecahedron and elongated dodecahedron, and the hexagonal prism and truncated octahedron. The cube is a special case of a parallelepiped, with the rhombic dodecahedron the only
Catalan solid In mathematics, a Catalan solid, or Archimedean dual, is a dual polyhedron to an Archimedean solid. There are 13 Catalan solids. They are named for the Belgian mathematician EugĂšne Catalan, who first described them in 1865. The Catalan sol ...
to tessellate space on its own. ☆ Regular abstract polyhedra, which include the
excavated dodecahedron In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus We ...
and the dodecadodecahedron. They have combinatorial symmetries transitive on flags of their elements, with topologies equivalent to that of toroids and the ability to tile the
hyperbolic plane In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' ...
. The
5-cell In geometry, the 5-cell is the convex 4-polytope with SchlÀfli symbol . It is a 5-vertex four-dimensional object bounded by five tetrahedral cells. It is also known as a C5, pentachoron, pentatope, pentahedroid, or tetrahedral pyramid. It i ...
, or pentatope, is the self-dual fourth-dimensional analogue of the
tetrahedron In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the o ...
, with Coxeter group symmetry \mathrm_ of order 120 = 5 ! and \mathrm_
group structure In the social sciences, a social group can be defined as two or more people who interact with one another, share similar characteristics, and collectively have a sense of unity. Regardless, social groups come in a myriad of sizes and varieties ...
. Made of five tetrahedra, its Petrie polygon is a regular pentagon and its
orthographic projection Orthographic projection (also orthogonal projection and analemma) is a means of representing Three-dimensional space, three-dimensional objects in Two-dimensional space, two dimensions. Orthographic projection is a form of parallel projection in ...
is equivalent to the complete graph ''K''5. It is one of six
regular 4-polytopes In mathematics, a regular 4-polytope is a regular four-dimensional polytope. They are the four-dimensional analogues of the regular polyhedra in three dimensions and the regular polygons in two dimensions. There are six convex and ten star re ...
, made of thirty-one
elements Element or elements may refer to: Science * Chemical element, a pure substance of one type of atom * Heating element, a device that generates heat by electrical resistance * Orbital elements, parameters required to identify a specific orbit of ...
: five vertices, ten
edges Edge or EDGE may refer to: Technology Computing * Edge computing, a network load-balancing system * Edge device, an entry point to a computer network * Adobe Edge, a graphical development application * Microsoft Edge, a web browser developed by ...
, ten faces, five tetrahedral cells and one
4-face In solid geometry, a face is a flat surface (a planar region) that forms part of the boundary of a solid object; a three-dimensional solid bounded exclusively by faces is a ''polyhedron''. In more technical treatments of the geometry of polyhedra ...
. *A regular 120-cell, the dual ''polychoron'' to the regular 600-cell, can fit one hundred and twenty 5-cells. Also, five
24-cell In geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with SchlÀfli symbol . It is also called C24, or the icositetrachoron, octaplex (short for "octahedral complex"), icosatetrahedroid, oct ...
s fit inside a small stellated 120-cell, the first
stellation In geometry, stellation is the process of extending a polygon in two dimensions, polyhedron in three dimensions, or, in general, a polytope in ''n'' dimensions to form a new figure. Starting with an original figure, the process extends specific el ...
of the 120-cell. *A subset of the vertices of the small stellated 120-cell are matched by the great duoantiprism star, which is the only
uniform A uniform is a variety of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, se ...
nonconvex ''duoantiprismatic'' solution in the fourth dimension, constructed from the polytope
cartesian product In mathematics, specifically set theory, the Cartesian product of two sets ''A'' and ''B'', denoted ''A''×''B'', is the set of all ordered pairs where ''a'' is in ''A'' and ''b'' is in ''B''. In terms of set-builder notation, that is : A\ti ...
and made of fifty
tetrahedra In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the o ...
, ten
pentagrammic crossed antiprism In geometry, the pentagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in this case two pentagrams. It differs from the pentagrammic antiprism by having oppo ...
s, ten pentagonal antiprisms, and fifty vertices. *The grand antiprism, which is the only known non-Wythoffian construction of a uniform polychoron, is made of twenty pentagonal antiprisms and three hundred tetrahedra, with a total of one hundred vertices and five hundred edges. *The abstract four-dimensional
57-cell In mathematics, the 57-cell (pentacontakaiheptachoron) is a self-dual abstract regular 4-polytope ( four-dimensional polytope). Its 57 cells are hemi-dodecahedra. It also has 57 vertices, 171 edges and 171 two-dimensional faces. The symmetry or ...
is made of fifty-seven hemi-icosahedral cells, in-which five surround each edge. The
11-cell In mathematics, the 11-cell (or hendecachoron) is a self-dual abstract regular 4-polytope ( four-dimensional polytope). Its 11 cells are hemi-icosahedral. It has 11 vertices, 55 edges and 55 faces. It has SchlÀfli symbol , with 3 hemi-icosahedr ...
, another abstract 4-polytope with eleven vertices and fifty-five edges, is made of eleven hemi-dodecahedral cells each with fifteen dodecahedra. The
skeleton A skeleton is the structural frame that supports the body of an animal. There are several types of skeletons, including the exoskeleton, which is the stable outer shell of an organism, the endoskeleton, which forms the support structure inside ...
of the hemi-dodecahedron is the Petersen graph. Overall, the fourth dimension contains five
Weyl group In mathematics, in particular the theory of Lie algebras, the Weyl group (named after Hermann Weyl) of a root system Ί is a subgroup of the isometry group of that root system. Specifically, it is the subgroup which is generated by reflections th ...
s that form a finite number of
uniform polychora In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons. There are 47 non-prismatic convex uniform 4-polytopes. There ...
: \mathrm A_, \mathrm B_, \mathrm D_, \mathrm F_, and \mathrm H_, with four of these Coxeter groups capable of generating the same finite forms without \mathrm D_; accompanied by a fifth or sixth general group of unique 4-prisms of Platonic and Archimedean solids. There are also a total of five Coxeter groups that generate non-prismatic Eucledian honeycombs in 4-space, alongside five compact hyperbolic Coxeter groups that generate five regular compact hyperbolic honeycombs with finite facets, as with the
order-5 5-cell honeycomb In the geometry of hyperbolic 4-space, the order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With SchlÀfli symbol , it has five 5-cells around each face. Its dual is the 120-cell honeycomb, . ...
and the
order-5 120-cell honeycomb In the geometry of hyperbolic 4-space, the order-5 120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With SchlÀfli symbol , it has five 120-cells around each face. It is self- dual. It also has 600 1 ...
, both of which have five cells around each face. Compact hyperbolic honeycombs only exist through the fourth dimension, or rank 5, with paracompact hyperbolic solutions existing through rank 10. Likewise, analogues of three-dimensional icosahedral symmetry \mathrm_ or four-dimensional \mathrm_ symmetry do not exist in dimensions ''n'' â©Ÿ 5; however, there is the
uniform A uniform is a variety of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, se ...
prismatic group \mathrm_ × \mathrm_ in the fifth dimension which contains prisms of regular and uniform
4-polytopes In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure, composed of lower-dimensional polytopal elements: vertices, edges, faces (polygons), an ...
that have \mathrm_ symmetry. The
5-simplex In five-dimensional geometry, a 5-simplex is a self-dual regular 5-polytope. It has six vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, and 6 5-cell facets. It has a dihedral angle of cos−1(), or approximately 78.46°. The 5-s ...
is the
five-dimensional A five-dimensional space is a space with five dimensions. In mathematics, a sequence of ''N'' numbers can represent a location in an ''N''-dimensional space. If interpreted physically, that is one more than the usual three spatial dimensions a ...
analogue of the 5-cell, or 4-simplex; the fifth iteration of n-
simplex In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex is so-named because it represents the simplest possible polytope in any given dimension. ...
es in any n dimensions. The 5-simplex has the Coxeter group \mathrm_ as its symmetry group, of order 720 = 6 !, whose group structure is represented by the symmetric group \mathrm_, the only finite symmetric group which has an outer automorphism. The
5-cube In five-dimensional geometry, a 5-cube is a name for a five-dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract 4-faces. It is represented by SchlÀfli symbol or , constructed as 3 tesseracts, ...
, made of ten tesseracts and the 5-cell as its vertex figure, is also regular and one of thirty-one
uniform 5-polytope In geometry, a uniform 5-polytope is a five-dimensional uniform polytope. By definition, a uniform 5-polytope is vertex-transitive and constructed from uniform 4-polytope Facet (geometry), facets. The complete set of convex uniform 5-polytopes ...
s under the Coxeter \mathrm B_ hypercubic group. The
demipenteract In five-dimensional geometry, a demipenteract or 5-demicube is a semiregular 5-polytope, constructed from a ''5-hypercube'' (penteract) with alternated vertices removed. It was discovered by Thorold Gosset. Since it was the only semiregular 5- ...
, with one hundred and twenty
cells Cell most often refers to: * Cell (biology), the functional basic unit of life Cell may also refer to: Locations * Monastic cell, a small room, hut, or cave in which a religious recluse lives, alternatively the small precursor of a monastery w ...
, is the only fifth-dimensional semiregular polytope, and has the rectified 5-cell as its vertex figure, which is one of only three semiregular 4-polytopes alongside the rectified 600-cell and the
snub 24-cell In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells. Five tetrahedra and three icosahedra meet at each vertex. In total it has 480 triangular face ...
. In the fifth dimension, there are five regular paracompact honeycombs, all with infinite facets and
vertex figure In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off. Definitions Take some corner or Vertex (geometry), vertex of a polyhedron. Mark a point somewhere along each connect ...
s. There are exclusively twelve complex aperiotopes in \mathbb^n complex spaces of dimensions n â©Ÿ 5, with fifteen in \mathbb^4 and sixteen in \mathbb^3; alongside complex polytopes in \mathbb^5 and higher under
simplex In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions. The simplex is so-named because it represents the simplest possible polytope in any given dimension. ...
,
hypercubic In geometry, a hypercube is an ''n''-dimensional analogue of a square () and a cube (). It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perp ...
and orthoplex groups, the latter with van Oss polytopes. There are five
exceptional Lie groups In mathematics, a simple Lie group is a connected non-abelian Lie group ''G'' which does not have nontrivial connected normal subgroups. The list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symm ...
: \mathfrak_2, \mathfrak_4, \mathfrak_6, \mathfrak_7, and \mathfrak_8. The smallest of these, \mathfrak_2, can be represented in five-dimensional complex space and
projected Projected is an American rock supergroup consisting of Sevendust members John Connolly and Vinnie Hornsby, Alter Bridge and Creed drummer Scott Phillips, and former Submersed and current Tremonti guitarist Eric Friedman. The band released thei ...
in the same number of dimensions as a
ball A ball is a round object (usually spherical, but can sometimes be ovoid) with several uses. It is used in ball games, where the play of the game follows the state of the ball as it is hit, kicked or thrown by players. Balls can also be used f ...
rolling on top of another ball, whose
motion In physics, motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed and frame of reference to an observer and mea ...
is described in two-dimensional space. \mathfrak_8, the largest of all five exceptional groups, also contains the other four as subgroups and is constructed with one hundred and twenty quaternionic unit icosians that make up the vertices of the 600-cell. There are also five solvable groups that are excluded from
finite simple group Finite is the opposite of infinite. It may refer to: * Finite number (disambiguation) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked ...
s of Lie type. The five
Mathieu groups In group theory, a topic in abstract algebra, the Mathieu groups are the five sporadic simple groups ''M''11, ''M''12, ''M''22, ''M''23 and ''M''24 introduced by . They are multiply transitive permutation groups on 11, 12, 22, 23 or 24 object ...
constitute the first generation in the happy family of
sporadic groups In mathematics, a sporadic group is one of the 26 exceptional groups found in the classification of finite simple groups. A simple group is a group ''G'' that does not have any normal subgroups except for the trivial group and ''G'' itself. The ...
. These are also the first five sporadic groups to have been described, defined as \mathrm_ multiply transitive permutation groups on n
objects Object may refer to: General meanings * Object (philosophy), a thing, being, or concept ** Object (abstract), an object which does not exist at any particular time or place ** Physical object, an identifiable collection of matter * Goal, an ...
, with n ∈ . In particular, \mathrm_, the smallest of all sporadic groups, has a rank 3 action on fifty-five points from an induced action on
unordered pair In mathematics, an unordered pair or pair set is a set of the form , i.e. a set having two elements ''a'' and ''b'' with no particular relation between them, where = . In contrast, an ordered pair (''a'', ''b'') has ''a'' as its first ele ...
s, as well as two
five-dimensional A five-dimensional space is a space with five dimensions. In mathematics, a sequence of ''N'' numbers can represent a location in an ''N''-dimensional space. If interpreted physically, that is one more than the usual three spatial dimensions a ...
faithful complex irreducible representations over the
field Field may refer to: Expanses of open ground * Field (agriculture), an area of land used for agricultural purposes * Airfield, an aerodrome that lacks the infrastructure of an airport * Battlefield * Lawn, an area of mowed grass * Meadow, a grass ...
with three elements, which is the lowest irreducible dimensional representation of all sporadic group over their respective fields with ''n'' elements. Of precisely five different conjugacy classes of
maximal subgroup In mathematics, the term maximal subgroup is used to mean slightly different things in different areas of algebra. In group theory, a maximal subgroup ''H'' of a group ''G'' is a proper subgroup, such that no proper subgroup ''K'' contains ''H'' s ...
s of \mathrm_, one is the almost simple symmetric group \mathrm_5 (of order 5 !), and another is \mathrm_, also almost simple, that functions as a
point stabilizer In mathematics, a group action on a space is a group homomorphism of a given group into the group of transformations of the space. Similarly, a group action on a mathematical structure is a group homomorphism of a group into the automorphism g ...
which has 5 as its largest
prime factor A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways ...
in its
group order In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is ''infinite''. The ''order'' of an element of a group (also called period length or period) is the order of the subgr ...
: 24·32·5 = 2·3·4·5·6 = 8·9·10 = 720. On the other hand, whereas \mathrm_ is sharply 4-transitive, \mathrm_ is sharply 5-transitive and \mathrm_ is 5-transitive, and as such they are the only two 5-transitive groups that are not symmetric groups or alternating groups. \mathrm_ has the first five prime numbers as its distinct prime factors in its order of 27· 32·5· 7· 11, and is the smallest of five sporadic groups with five distinct prime factors in their order. All Mathieu groups are subgroups of \mathrm_, which under the Witt design \mathrm_ of Steiner system S(5, 8, 24) emerges a construction of the
extended binary Golay code In mathematics and electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection ...
\mathrm_ that has \mathrm_ as its automorphism group. \mathrm_ generates ''octads'' from code words of Hamming weight 8 from the extended binary Golay code, one of five different Hamming weights the extended binary Golay code uses: 0, 8, 12, 16, and 24. The Witt design and the extended binary Golay code in turn can be used to generate a faithful construction of the 24-dimensional Leech lattice Λ24, which is the subject of the second generation of seven sporadic groups that are
subquotient In the mathematical fields of category theory and abstract algebra, a subquotient is a quotient object of a subobject. Subquotients are particularly important in abelian categories, and in group theory, where they are also known as sections, thou ...
s of the automorphism of the Leech lattice, Conway group \mathrm_. There are five non-supersingular primes: 37, 43, 53, 61, and 67, all smaller than the largest of fifteen supersingular prime divisors of the
friendly giant ''The Friendly Giant'' was a children's television program that aired on CBC Television from September 30, 1958 through to March 1985. It featured three main characters: a giant named Friendly (played by Bob Homme), who lived in a huge castle, alo ...
, 71.


List of basic calculations


In decimal

5 is the only prime number to end in the digit 5 in
decimal The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
because all other numbers written with a 5 in the
ones place A numerical digit (often shortened to just digit) is a single symbol used alone (such as "2") or in combinations (such as "25"), to represent numbers in a Positional notation, positional numeral system. The name "digit" comes from the fact that t ...
are multiples of five, which makes it a 1-
automorphic number In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b whose square "ends" in the same digits as the number itself. Definition and properties Given a number base b, a natura ...
. All multiples of 5 will end in either 5 or , and vulgar fractions with 5 or in the denominator do not yield infinite
decimal The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
expansions because they are prime factors of 10, the base. In the
powers Powers may refer to: Arts and media * ''Powers'' (comics), a comic book series by Brian Michael Bendis and Michael Avon Oeming ** ''Powers'' (American TV series), a 2015–2016 series based on the comics * ''Powers'' (British TV series), a 200 ...
of 5, every power ends with the number five, and from 53 onward, if the exponent is
odd Odd means unpaired, occasional, strange or unusual, or a person who is viewed as eccentric. Odd may also refer to: Acronym * ODD (Text Encoding Initiative) ("One Document Does it all"), an abstracted literate-programming format for describing X ...
, then the hundreds digit is 1, and if it is even, the hundreds digit is 6. A number n raised to the fifth power always ends in the same digit as n.


Evolution of the Arabic digit

The evolution of the modern Western digit for the numeral 5 cannot be traced back to the
Indian system In the game of chess, Indian Defence or Indian Game is a broad term for a group of openings characterised by the moves: :1. d4 Nf6 They are all to varying degrees hypermodern defences, where Black invites White to establish an imposing presenc ...
, as for the digits 1 to 4. The
Kushana The Kushan Empire ( grc, ΒασÎčλΔία ÎšÎżÏƒÏƒÎ±Îœáż¶Îœ; xbc, ÎšÏ…ÏžÎ±ÎœÎż, ; sa, à€•à„à€·à€Ÿà€Ł à€”à€‚à€¶; Brahmi: , '; BHS: ; xpr, 𐭊𐭅𐭔𐭍 𐭇𐭔𐭕𐭓, ; zh, èȮ霜 ) was a syncretic empire, formed by the Yuezhi, i ...
and
Gupta Gupta () is a common surname or last name of Indian origin. It is based on the Sanskrit word à€—à„‹à€Șà„à€€à„ƒ ''goptáč›'', which means 'guardian' or 'protector'. According to historian R. C. Majumdar, the surname ''Gupta'' was adopted by se ...
empires in what is now
India India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...
had among themselves several different forms that bear no resemblance to the modern digit. The Nagari and
Punjabi Punjabi, or Panjabi, most often refers to: * Something of, from, or related to Punjab, a region in India and Pakistan * Punjabi language * Punjabi people * Punjabi dialects and languages Punjabi may also refer to: * Punjabi (horse), a British Th ...
took these digits and all came up with forms that were similar to a lowercase "h" rotated 180°. The Ghubar Arabs transformed the digit in several different ways, producing from that were more similar to the digits 4 or 3 than to 5. It was from those digits that Europeans finally came up with the modern 5. While the shape of the character for the digit 5 has an ascender in most modern
typeface A typeface (or font family) is the design of lettering that can include variations in size, weight (e.g. bold), slope (e.g. italic), width (e.g. condensed), and so on. Each of these variations of the typeface is a font. There are list of type ...
s, in typefaces with
text figures Text figures (also known as non-lining, lowercase, old style, ranging, hanging, medieval, billing, or antique figures or numerals) are numerals designed with varying heights in a fashion that resembles a typical line of running text, hence the ...
the glyph usually has a
descender In typography and handwriting, a descender is the portion of a letter that extends below the baseline of a font. For example, in the letter ''y'', the descender is the "tail", or that portion of the diagonal line which lies below the ''v'' c ...
, as, for example, in . On the
seven-segment display A seven-segment display is a form of electronic display device for displaying decimal numerals that is an alternative to the more complex dot matrix displays. Seven-segment displays are widely used in digital clocks, electronic meters, basic ...
of a calculator, it is represented by five segments at four successive turns from top to bottom, rotating counterclockwise first, then clockwise, and vice-versa.


Science

*The
atomic number The atomic number or nuclear charge number (symbol ''Z'') of a chemical element is the charge number of an atomic nucleus. For ordinary nuclei, this is equal to the proton number (''n''p) or the number of protons found in the nucleus of every ...
of
boron Boron is a chemical element with the symbol B and atomic number 5. In its crystalline form it is a brittle, dark, lustrous metalloid; in its amorphous form it is a brown powder. As the lightest element of the ''boron group'' it has th ...
. *The number of appendages on most
starfish Starfish or sea stars are star-shaped echinoderms belonging to the class Asteroidea (). Common usage frequently finds these names being also applied to ophiuroids, which are correctly referred to as brittle stars or basket stars. Starfish ...
, which exhibit
pentamerism Symmetry in biology refers to the symmetry observed in organisms, including plants, animals, fungi, and bacteria. External symmetry can be easily seen by just looking at an organism. For example, take the face of a human being which has a pla ...
. *The most destructive known hurricanes rate as Category 5 on the Saffir–Simpson hurricane wind scale. *The most destructive known
tornado A tornado is a violently rotating column of air that is in contact with both the surface of the Earth and a cumulonimbus cloud or, in rare cases, the base of a cumulus cloud. It is often referred to as a twister, whirlwind or cyclone, altho ...
es rate an F-5 on the Fujita scale or EF-5 on the Enhanced Fujita scale.


Astronomy

* Messier object M5, a magnitude 7.0 globular cluster in the constellation Serpens. *The
New General Catalogue The ''New General Catalogue of Nebulae and Clusters of Stars'' (abbreviated NGC) is an astronomical catalogue of deep-sky objects compiled by John Louis Emil Dreyer in 1888. The NGC contains 7,840 objects, including galaxies, star clusters and ...
br>object
NGC 5 NGC commonly refers to: * New General Catalogue of Nebulae and Clusters of Stars, a catalogue of deep sky objects in astronomy NGC may also refer to: Companies * NGC Corporation, name of US electric company Dynegy, Inc. from 1995 to 1998 * Nati ...
, a magnitude 13
spiral galaxy Spiral galaxies form a class of galaxy originally described by Edwin Hubble in his 1936 work ''The Realm of the Nebulae''constellation A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object. The origins of the e ...
Andromeda. *The Roman numeral V stands for dwarfs (
main sequence In astronomy, the main sequence is a continuous and distinctive band of stars that appears on plots of stellar color versus brightness. These color-magnitude plots are known as Hertzsprung–Russell diagrams after their co-developers, Ejnar Her ...
stars) in the
Yerkes spectral classification scheme In astronomy, stellar classification is the classification of stars based on their stellar spectrum, spectral characteristics. Electromagnetic radiation from the star is analyzed by splitting it with a Prism (optics), prism or diffraction grati ...
. *The Roman numeral V (usually) stands for the fifth-discovered satellite of a planet or minor planet (e.g. Jupiter V). *There are five
Lagrangian point In celestial mechanics, the Lagrange points (; also Lagrangian points or libration points) are points of equilibrium for small-mass objects under the influence of two massive orbiting bodies. Mathematically, this involves the solution of th ...
s in a two-body system.


Biology

*There are generally considered to be
five senses A sense is a biological system used by an organism for sensation, the process of gathering information about the world through the detection of stimuli. (For example, in the human body, the brain which is part of the central nervous system rec ...
. *The five basic
taste The gustatory system or sense of taste is the sensory system that is partially responsible for the perception of taste (flavor). Taste is the perception produced or stimulated when a substance in the mouth reacts chemically with taste receptor ...
s are sweet, salty, sour,
bitter Bitter may refer to: Common uses * Resentment, negative emotion or attitude, similar to being jaded, cynical or otherwise negatively affected by experience * Bitter (taste), one of the five basic tastes Books * '' Bitter (novel)'', a 2022 nove ...
, and umami. *Almost all amphibians, reptiles, and mammals which have fingers or toes have five of them on each extremity.


Computing

*5 is the
ASCII ASCII ( ), abbreviated from American Standard Code for Information Interchange, is a character encoding standard for electronic communication. ASCII codes represent text in computers, telecommunications equipment, and other devices. Because of ...
code of the Enquiry character, which is abbreviated to ENQ.


Religion and culture


Hinduism

*The god
Shiva Shiva (; sa, à€¶à€żà€”, lit=The Auspicious One, ƚiva ), also known as Mahadeva (; ɐɊaːdÌȘeːʋɐ, or Hara, is one of the principal deities of Hinduism. He is the Supreme Being in Shaivism, one of the major traditions within Hindu ...
has five faces and his mantra is also called (five-worded) mantra. *The goddess
Saraswati Saraswati ( sa, à€žà€°à€žà„à€”à€€à„€, ) is the Hindu goddess of knowledge, music, art, speech, wisdom, and learning. She is one of the Tridevi, along with the goddesses Lakshmi and Parvati. The earliest known mention of Saraswati as a go ...
, goddess of knowledge and intellectual is associated with or the number 5. *There are five elements in the universe according to
Hindu cosmology Hindu cosmology is the description of the universe and its states of matter, cycles within time, physical structure, and effects on living entities according to Hindu texts. Hindu cosmology is also intertwined with the idea of a creator who allo ...
: (earth, fire, water, air and space respectively). *The most sacred tree in Hinduism has 5 leaves in every leaf stunt. *Most of the flowers have 5 petals in them. *The epic
Mahabharata The ''Mahābhārata'' ( ; sa, à€źà€čà€Ÿà€­à€Ÿà€°à€€à€źà„, ', ) is one of the two major Sanskrit epics of ancient India in Hinduism, the other being the ''Rāmāyaáč‡a''. It narrates the struggle between two groups of cousins in the Kuruk ...
revolves around the battle between
Duryodhana Duryodhana ( sa, à€Šà„à€°à„à€Żà„‹à€§à€š, ) also known as Suyodhana, is the primary antagonist in the Hindu epic ''Mahabharata.'' He was the eldest of the Kauravas, the hundred sons of the blind king Dhritarashtra and his queen Gandhari. Being ...
and his 99 other brothers and the 5
pandava The Pandavas (Sanskrit: à€Șà€Ÿà€Łà„à€Ąà€”, IAST: Pāáč‡ážava) refers to the five legendary brothers— Yudhishthira, Bhima, Arjuna, Nakula and Sahadeva—who are the central characters of the Hindu epic ''Mahabharata''. They are acknowledg ...
princes—
Dharma Dharma (; sa, à€§à€°à„à€ź, dharma, ; pi, dhamma, italic=yes) is a key concept with multiple meanings in Indian religions, such as Hinduism, Buddhism, Jainism, Sikhism and others. Although there is no direct single-word translation for '' ...
,
Arjuna Arjuna (Sanskrit: à€…à€°à„à€œà„à€š, ), also known as Partha and Dhananjaya, is a character in several ancient Hindu texts, and specifically one of the major characters of the Indian epic Mahabharata. In the epic, he is the third among Panda ...
,
Bhima In Hindu epic Mahabharata, Bhima ( sa, à€­à„€à€ź, ) is the second among the five Pandavas. The ''Mahabharata'' relates many events that portray the might of Bhima. Bhima was born when Vayu, the wind god, granted a son to Kunti and Pandu. Af ...
,
Nakula In the Hindu epic Mahabharata, ''Nakula'' (Sanskrit: à€šà€•à„à€Č) was fourth of the five Pandava brothers. Nakula and Sahadeva were twins blessed to Madri, by Ashwini Kumaras, the divine physicians. Their parents Pandu and Madri - died earl ...
and
Sahadeva Sahadeva (Sanskrit: à€žà€čà€Šà„‡à€”) was the youngest of the Pandava brothers, the five principal protagonists of the epic ''Mahabharata''. He and his twin brother, Nakula, were blessed to King Pandu and Queen Madri by invoking the twin gods Ash ...
.


Christianity

*There are traditionally
five wounds In Catholic Church, Catholic Catholic devotions, tradition, the Five Holy Wounds, also known as the Five Sacred Wounds or the Five Precious Wounds, are the five piercing wounds that Jesus Christ suffered during his Crucifixion of Jesus, crucifixi ...
of
Jesus Christ Jesus, likely from he, Ś™Ö”Ś©ŚŚ•ÖŒŚąÖ·, translit=YÄ“ĆĄĆ«aÊż, label=Hebrew/Aramaic ( AD 30 or 33), also referred to as Jesus Christ or Jesus of Nazareth (among other names and titles), was a first-century Jewish preacher and religious ...
in
Christianity Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus of Nazareth. It is the world's largest and most widespread religion with roughly 2.38 billion followers representing one-third of the global pop ...
: the Scourging at the Pillar, the Crowning with Thorns, the wounds in Christ's hands, the wounds in Christ's feet, and the Side Wound of Christ.


Gnosticism

*The number five was an important symbolic number in
Manichaeism Manichaeism (; in New Persian ; ) is a former major religionR. van den Broek, Wouter J. Hanegraaff ''Gnosis and Hermeticism from Antiquity to Modern Times''SUNY Press, 1998 p. 37 founded in the 3rd century AD by the Parthian Empire, Parthian ...
, with heavenly beings, concepts, and others often grouped in sets of five. * Five Seals in Sethianism *
Five Trees "Five Trees" in Paradise is a mysterious allegory or concept from famous Coptic language, Coptic Gospel of Thomas NHC 2: (gnostic library from Nag Hammadi in Egypt) 19th saying/logia of Jesus and other sources of religious mythology. Blatz Transl ...
in the Gospel of Thomas


Islam

*The Five Pillars of Islam *
Muslim Muslims ( ar, Ű§Ù„Ù…ŰłÙ„Ù…ÙˆÙ†, , ) are people who adhere to Islam, a monotheistic religion belonging to the Abrahamic tradition. They consider the Quran, the foundational religious text of Islam, to be the verbatim word of the God of Abrah ...
s pray to
Allah Allah (; ar, Ű§Ù„Ù„Ù‡, translit=Allāh, ) is the common Arabic word for God. In the English language, the word generally refers to God in Islam. The word is thought to be derived by contraction from '' al- ilāh'', which means "the god", an ...
five times a day *According to Shia Muslims, the Panjetan or the Five Holy Purified Ones are the members of
Muhammad Muhammad ( ar, Ù…ÙŰ­ÙŽÙ…ÙŽÙ‘ŰŻ;  570 – 8 June 632 Common Era, CE) was an Arab religious, social, and political leader and the founder of Islam. According to Muhammad in Islam, Islamic doctrine, he was a prophet Divine inspiration, di ...
's family:
Muhammad Muhammad ( ar, Ù…ÙŰ­ÙŽÙ…ÙŽÙ‘ŰŻ;  570 – 8 June 632 Common Era, CE) was an Arab religious, social, and political leader and the founder of Islam. According to Muhammad in Islam, Islamic doctrine, he was a prophet Divine inspiration, di ...
,
Ali ÊżAlÄ« ibn AbÄ« áčŹÄlib ( ar, Űčَلِيّ ŰšÙ’Ù† ŰŁÙŽŰšÙÙŠ Ű·ÙŽŰ§Ù„ÙŰš; 600 – 661 CE) was the last of four Rightly Guided Caliphs to rule Islam (r. 656 – 661) immediately after the death of Muhammad, and he was the first Shia Imam. ...
, Fatimah, Hasan, and Husayn and are often symbolically represented by an image of the
Khamsa Khamsa (Arabic, lit. "five") may refer to: * Hamsa, a popular amulet in the Middle East and North Africa, also romanized as ''khamsa'' * Al Khamsa, a bloodline for Arabian horses that traces back to five mares * Al Khamsa (organization), a nonprofi ...
.


Judaism

*The
Torah The Torah (; hbo, ''Tƍrā'', "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. In that sense, Torah means the s ...
contains five books—
Genesis Genesis may refer to: Bible * Book of Genesis, the first book of the biblical scriptures of both Judaism and Christianity, describing the creation of the Earth and of mankind * Genesis creation narrative, the first several chapters of the Book of ...
,
Exodus Exodus or the Exodus may refer to: Religion * Book of Exodus, second book of the Hebrew Torah and the Christian Bible * The Exodus, the biblical story of the migration of the ancient Israelites from Egypt into Canaan Historical events * Ex ...
, Leviticus, Numbers, and
Deuteronomy Deuteronomy ( grc, Î”Î”Ï…Ï„Î”ÏÎżÎœÏŒÎŒÎčÎżÎœ, DeuteronĂłmion, second law) is the fifth and last book of the Torah (in Judaism), where it is called (Hebrew: hbo, , DəᾇārÄ«m, hewords Moses.html"_;"title="f_Moses">f_Moseslabel=none)_and_th ...
—which are collectively called the Five Books of
Moses Moses hbo, ŚžÖ茩ֶŚŚ”, Mƍơe; also known as Moshe or Moshe Rabbeinu (Mishnaic Hebrew: ŚžÖ茩ֶŚŚ” ŚšÖ·Ś‘Ö”ÖŒŚ™Ś Ś•ÖŒ, ); syr, ܥܘܫܐ, MĆ«ĆĄe; ar, Ù…ÙˆŰłÙ‰, MĆ«sā; grc, MÏ‰Ï‹Ïƒáż†Ï‚, Mƍÿsēs () is considered the most important pro ...
, the Pentateuch ( Greek for "five containers", referring to the scroll cases in which the books were kept), or Humash (,
Hebrew Hebrew (; ; ) is a Northwest Semitic language of the Afroasiatic language family. Historically, it is one of the spoken languages of the Israelites and their longest-surviving descendants, the Jews and Samaritans. It was largely preserved ...
for "fifth"). *The book of
Psalms The Book of Psalms ( or ; he, ŚȘÖ°ÖŒŚ”ÖŽŚœÖŽÖŒŚ™Ś, , lit. "praises"), also known as the Psalms, or the Psalter, is the first book of the ("Writings"), the third section of the Tanakh, and a book of the Old Testament. The title is derived ...
is arranged into five books, paralleling the
Five Books of Moses The Torah (; hbo, ''Tƍrā'', "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. In that sense, Torah means the sa ...
. *The
Khamsa Khamsa (Arabic, lit. "five") may refer to: * Hamsa, a popular amulet in the Middle East and North Africa, also romanized as ''khamsa'' * Al Khamsa, a bloodline for Arabian horses that traces back to five mares * Al Khamsa (organization), a nonprofi ...
, an ancient symbol shaped like a hand with four fingers and one thumb, is used as a protective amulet by Jews; that same symbol is also very popular in
Arab The Arabs (singular: Arab; singular ar, ŰčÙŽŰ±ÙŽŰšÙÙŠÙŒÙ‘, DIN 31635: , , plural ar, ŰčÙŽŰ±ÙŽŰš, DIN 31635: , Arabic pronunciation: ), also known as the Arab people, are an ethnic group mainly inhabiting the Arab world in Western Asia, ...
ic culture, known to protect from envy and the evil eye.


Sikhism

*The five sacred
Sikh Sikhs ( or ; pa, àšžàšżà©±àš–, ' ) are people who adhere to Sikhism, Sikhism (Sikhi), a Monotheism, monotheistic religion that originated in the late 15th century in the Punjab region of the Indian subcontinent, based on the revelation of Gu ...
symbols prescribed by
Guru Gobind Singh Guru Gobind Singh (; 22 December 1666 – 7 October 1708), born Gobind Das or Gobind Rai the tenth Sikh Guru, a spiritual master, warrior, poet and philosopher. When his father, Guru Tegh Bahadur, was executed by Aurangzeb, Guru Gobind Sing ...
are commonly known as or the " Five Ks" because they start with letter K representing in the
Punjabi language Punjabi (; ; , ), sometimes spelled Panjabi, is an Indo-Aryan language of the Punjab region of Pakistan and India. It has approximately 113 million native speakers. Punjabi is the most widely-spoken first language in Pakistan, with 80.5 m ...
's
Gurmukhi script GurmukhÄ« ( pa, àš—à©àš°àšźà©àš–à©€, , Shahmukhi: ) is an abugida developed from the Laáč‡ážÄ scripts, standardized and used by the second Sikh guru, Guru Angad (1504–1552). It is used by Punjabi Sikhs to write the language, commonly re ...
. They are: (unshorn hair), (the comb), (the steel bracelet), (the soldier's shorts), and (the sword) (in Gurmukhi: ). Also, there are five deadly evils: (lust), (anger), (attachment), (greed), and (ego).


Daoism

* 5 Elements * 5 Emperors


Other religions and cultures

*According to ancient Greek philosophers such as
Aristotle Aristotle (; grc-gre, ገρÎčÏƒÏ„ÎżÏ„Î­Î»Î·Ï‚ ''AristotĂ©lēs'', ; 384–322 BC) was a Greek philosopher and polymath during the Classical period in Ancient Greece. Taught by Plato, he was the founder of the Peripatetic school of phil ...
, the universe is made up of five
classical element Classical elements typically refer to earth, water, air, fire, and (later) aether which were proposed to explain the nature and complexity of all matter in terms of simpler substances. Ancient cultures in Greece, Tibet, and India had simil ...
s:
water Water (chemical formula ) is an inorganic, transparent, tasteless, odorless, and nearly colorless chemical substance, which is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a ...
,
earth Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surfa ...
, air,
fire Fire is the rapid oxidation of a material (the fuel) in the exothermic chemical process of combustion, releasing heat, light, and various reaction Product (chemistry), products. At a certain point in the combustion reaction, called the ignition ...
, and
ether In organic chemistry, ethers are a class of compounds that contain an ether group—an oxygen atom connected to two alkyl or aryl groups. They have the general formula , where R and Râ€Č represent the alkyl or aryl groups. Ethers can again be c ...
. This concept was later adopted by medieval
alchemists Alchemy (from Arabic: ''al-kÄ«miyā''; from Ancient Greek: Ï‡Ï…ÎŒÎ”ÎŻÎ±, ''khumeĂ­a'') is an ancient branch of natural philosophy, a philosophical and protoscientific tradition that was historically practiced in China, India, the Muslim world, ...
and more recently by practitioners of
Neo-Pagan Modern paganism, also known as contemporary paganism and neopaganism, is a term for a religion or family of religions influenced by the various historical pre-Christian beliefs of pre-modern peoples in Europe and adjacent areas of North Afric ...
religions such as
Wicca Wicca () is a modern Pagan religion. Scholars of religion categorise it as both a new religious movement and as part of the occultist stream of Western esotericism. It was developed in England during the first half of the 20th century and was ...
. *The pentagram, or five-pointed star, bears religious significance in various faiths including BahĂĄÊŒĂ­,
Christianity Christianity is an Abrahamic monotheistic religion based on the life and teachings of Jesus of Nazareth. It is the world's largest and most widespread religion with roughly 2.38 billion followers representing one-third of the global pop ...
,
Freemasonry Freemasonry or Masonry refers to fraternal organisations that trace their origins to the local guilds of stonemasons that, from the end of the 13th century, regulated the qualifications of stonemasons and their interaction with authorities ...
,
Satanism Satanism is a group of ideological and philosophical beliefs based on Satan. Contemporary religious practice of Satanism began with the founding of the atheistic Church of Satan by Anton LaVey in the United States in 1966, although a few hi ...
,
Taoism Taoism (, ) or Daoism () refers to either a school of Philosophy, philosophical thought (道柶; ''daojia'') or to a religion (道教; ''daojiao''), both of which share ideas and concepts of China, Chinese origin and emphasize living in harmo ...
, Thelema, and
Wicca Wicca () is a modern Pagan religion. Scholars of religion categorise it as both a new religious movement and as part of the occultist stream of Western esotericism. It was developed in England during the first half of the 20th century and was ...
. *In
Cantonese Cantonese ( zh, t=ć»Łæ±è©±, s=ćčżäžœèŻ, first=t, cy=GwĂłngdĆ«ng wĂĄ) is a language within the Chinese (Sinitic) branch of the Sino-Tibetan languages originating from the city of Guangzhou (historically known as Canton) and its surrounding are ...
, "five" sounds like the word "not" (character: ). When five appears in front of a lucky number, e.g. "58", the result is considered unlucky. *In
East Asia East Asia is the eastern region of Asia, which is defined in both geographical and ethno-cultural terms. The modern states of East Asia include China, Japan, Mongolia, North Korea, South Korea, and Taiwan. China, North Korea, South Korea and ...
n tradition, there are five elements: (
water Water (chemical formula ) is an inorganic, transparent, tasteless, odorless, and nearly colorless chemical substance, which is the main constituent of Earth's hydrosphere and the fluids of all known living organisms (in which it acts as a ...
,
fire Fire is the rapid oxidation of a material (the fuel) in the exothermic chemical process of combustion, releasing heat, light, and various reaction Product (chemistry), products. At a certain point in the combustion reaction, called the ignition ...
,
earth Earth is the third planet from the Sun and the only astronomical object known to harbor life. While large volumes of water can be found throughout the Solar System, only Earth sustains liquid surface water. About 71% of Earth's surfa ...
,
wood Wood is a porous and fibrous structural tissue found in the stems and roots of trees and other woody plants. It is an organic materiala natural composite of cellulose fibers that are strong in tension and embedded in a matrix of lignin th ...
, and
metal A metal (from Greek ÎŒÎ­Ï„Î±Î»Î»ÎżÎœ ''mĂ©tallon'', "mine, quarry, metal") is a material that, when freshly prepared, polished, or fractured, shows a lustrous appearance, and conducts electricity and heat relatively well. Metals are typicall ...
). The Japanese names for the
days of the week A day is the time period of a full rotation of the Earth with respect to the Sun. On average, this is 24 hours, 1440 minutes, or 86,400 seconds. In everyday life, the word "day" often refers to a solar day, which is the length between two so ...
, Tuesday through
Saturday Saturday is the day of the week between Friday and Sunday. No later than the 2nd century, the Romans named Saturday ("Saturn's Day") for the planet Saturn, which controlled the first hour of that day, according to Vettius Valens. The day's na ...
, come from these elements via the identification of the elements with the five planets visible with the naked eye. Also, the traditional Japanese calendar has a five-day weekly cycle that can be still observed in printed mixed calendars combining Western, Chinese-Buddhist, and Japanese names for each weekday. *In
numerology Numerology (also known as arithmancy) is the belief in an occult, divine or mystical relationship between a number and one or more coinciding events. It is also the study of the numerical value, via an alphanumeric system, of the letters in ...
, 5 or a series of
555 Year 555 (DLV) was a common year starting on Friday (link will display the full calendar) of the Julian calendar. The denomination 555 for this year has been used since the early medieval period, when the Anno Domini calendar era became the pr ...
, is often associated with change, evolution, love and abundance. *Members of
The Nation of Gods and Earths The Five-Percent Nation, sometimes referred to as the Nation of Gods and Earths (NGE/NOGE) or the Five Percenters, is a Black nationalist movement influenced by Islam that was founded in 1964 in the Harlem section of the borough of Manhattan, N ...
, a primarily African American religious organization, call themselves the "Five-Percenters" because they believe that only 5% of mankind is truly enlightened.


Art, entertainment, and media


Fictional entities

* James the Red Engine, a fictional character numbered 5. * Johnny 5 is the lead character in the film ''Short Circuit'' (1986) *Number Five is a character in Lorien Legacies *Sankara Stones, five magical rocks in ''
Indiana Jones and the Temple of Doom ''Indiana Jones and the Temple of Doom'' is a 1984 American action-adventure film directed by Steven Spielberg. It is the second installment in the ''Indiana Jones'' franchise, and a prequel to the 1981 film ''Raiders of the Lost Ark'', fea ...
'' that are sought by the Thuggees for evil purposes *The Mach Five , the racing car Speed Racer ( in the Japanese version) drives in the anime series of the same name (known as "Mach Go! Go! Go!" in Japan) *In the works of
J. R. R. Tolkien John Ronald Reuel Tolkien (, ; 3 January 1892 – 2 September 1973) was an English writer and philology, philologist. He was the author of the high fantasy works ''The Hobbit'' and ''The Lord of the Rings''. From 1925 to 1945, Tolkien was ...
, five wizards (
Saruman Saruman, also called Saruman the White, is a fictional character of J. R. R. Tolkien's fantasy novel ''The Lord of the Rings''. He is leader of the Istari, wizards sent to Middle-earth in human form by the godlike Valar to challenge Sauron, t ...
, Gandalf, Radagast, Alatar and Pallando) are sent to Middle-earth to aid against the threat of the Dark Lord Sauron *In the ''
A Song of Ice and Fire ''A Song of Ice and Fire'' is a series of epic fantasy novels by the American novelist and screenwriter George R. R. Martin. He began the first volume of the series, ''A Game of Thrones'', in 1991, and it was published in 1996. Martin, who init ...
'' series, the War of the Five Kings is fought between different claimants to the Iron Throne of Westeros, as well as to the thrones of the individual regions of Westeros ( Joffrey Baratheon, Stannis Baratheon, Renly Baratheon,
Robb Stark Robert Stark is a fictional character in the '' A Song of Ice and Fire'' series of epic fantasy novels by American author George R. R. Martin, and its television adaptation '' Game of Thrones'', where he is portrayed by Scottish actor Richard Mad ...
and Balon Greyjoy) *In ''
The Wheel of Time ''The Wheel of Time'' is a series of high fantasy novels by American author Robert Jordan, with Brandon Sanderson as a co-author for the final three novels. Originally planned as a six-book series, ''The Wheel of Time'' spans 14 volumes, in a ...
'' series, the "Emond's Field Five" are a group of five of the series' main characters who all come from the village of Emond's Field ( Rand al'Thor,
Matrim Cauthon This article serves as an index of major characters in the fictional setting of Robert Jordan's ''The Wheel of Time'' series, with a description of their main roles or feats in the series. ''The Wheel of Time'' has 2787 distinct named characters. ...
,
Perrin Aybara This article serves as an index of major characters in the fictional setting of Robert Jordan's ''The Wheel of Time'' series, with a description of their main roles or feats in the series. ''The Wheel of Time'' has 2787 distinct named characters. ...
, Egwene al'Vere and
Nynaeve al'Meara This article serves as an index of major characters in the fictional setting of Robert Jordan's ''The Wheel of Time'' series, with a description of their main roles or feats in the series. ''The Wheel of Time'' has 2787 distinct named characters. ...
) * ''Myst'' uses the number 5 as a unique base counting system. In ''
The Myst Reader ''The Myst Reader'' is a collection of three novels based on the ''Myst'' series of adventure games. The collection was published in September 2004 and combines three works previously published separately: ''The Book of Atrus'' (1995), ''The Bo ...
'' series, it is further explained that the number 5 is considered a holy number in the fictional D'ni society. *Number Five is also a character in The Umbrella Academy comic book and TV series adaptation


Films

*Towards the end of the film ''
Monty Python and the Holy Grail ''Monty Python and the Holy Grail'' is a 1975 British comedy film satirizing the Arthurian legend, written and performed by the Monty Python comedy group (Graham Chapman, John Cleese, Terry Gilliam, Eric Idle, Terry Jones, and Michael Palin) an ...
'' (1975), the character of
King Arthur King Arthur ( cy, Brenin Arthur, kw, Arthur Gernow, br, Roue Arzhur) is a legendary king of Britain, and a central figure in the medieval literary tradition known as the Matter of Britain. In the earliest traditions, Arthur appears as a ...
repeatedly confuses the number five with the number three. *''
Five Go Mad in Dorset ''Five Go Mad in Dorset'' was the first of three ''Five Go Mad'' specials from the long-running series of '' The Comic Strip Presents...'' television comedy films. It first aired on the launch night of Channel 4 (2 November 1982), and was writ ...
'' (1982) was the first of the long-running series of '' The Comic Strip Presents...'' television comedy films *'' The Fifth Element'' (1997), a science fiction film * '' Fast Five'' (2011), the fifth installment of the ''Fast and Furious'' film series. *''
V for Vendetta ''V for Vendetta'' is a British graphic novel written by Alan Moore and illustrated by David Lloyd (with additional art by Tony Weare). Initially published between 1982 and 1985 in black and white as an ongoing serial in the British antholog ...
'' (2005), produced by
Warner Bros. Warner Bros. Entertainment Inc. (commonly known as Warner Bros. or abbreviated as WB) is an American film and entertainment studio headquartered at the Warner Bros. Studios complex in Burbank, California, and a subsidiary of Warner Bros. Di ...
, directed by
James McTeigue James McTeigue (born December 29, 1967) is an Australian film and television director. He has been an assistant director on many films, including '' Dark City'' (1998), the ''Matrix'' trilogy (1999–2003) and '' Star Wars: Episode II – Atta ...
, and adapted from Alan Moore's graphic novel ''
V for Vendetta ''V for Vendetta'' is a British graphic novel written by Alan Moore and illustrated by David Lloyd (with additional art by Tony Weare). Initially published between 1982 and 1985 in black and white as an ongoing serial in the British antholog ...
'' prominently features number 5 and Roman Numeral V; the story is based on the historical event in which a group of men attempted to destroy Parliament on November 5, 1605


Music


Groups

* Five (group), a UK Boy band * The Five (composers), 19th-century Russian composers * 5 Seconds of Summer, pop band that originated in Sydney, Australia * Five Americans, American rock band active 1965–1969 * Five Finger Death Punch, American heavy metal band from Las Vegas, Nevada. Active 2005–present * Five Man Electrical Band, Canadian rock group billed (and active) as the Five Man Electrical Band, 1969–1975 *
Maroon 5 Maroon 5 is an American pop rock band from Los Angeles, California. It currently consists of lead vocalist Adam Levine, keyboardist and rhythm guitarist Jesse Carmichael, lead guitarist James Valentine (musician), James Valentine, drummer Matt ...
, American pop rock band that originated in Los Angeles, California *
MC5 MC5, also commonly called The MC5, is an American rock band formed in Lincoln Park, Michigan, in 1963. The original line-up consisted of Rob Tyner (vocals) Wayne Kramer (guitar), Fred "Sonic" Smith (guitar), Michael Davis (bass), and Dennis ...
, American punk rock band *
Pentatonix Pentatonix (abbreviated PTX) is an American a cappella group from Arlington, Texas, currently consisting of vocalists Mitch Grassi, Scott Hoying, Kirstin Maldonado, Kevin Olusola, and Matt Sallee. Characterized by their pop-style arrangements ...
, a Grammy-winning a cappella group originated in Arlington, Texas *
The 5th Dimension The 5th Dimension is an American popular music vocal group, whose repertoire includes pop, R&B, soul, jazz, light opera, and Broadway. Formed as the Versatiles in late 1965, the group changed its name to "the 5th Dimension" by 1966. Betwee ...
, American pop vocal group, active 1977–present *
The Dave Clark Five The Dave Clark Five, also known as the DC5, were an English rock and roll band formed in 1958 in Tottenham, London. Drummer Dave Clark served as the group's leader, producer and co-songwriter. In January 1964 they had their first UK top ten sin ...
, a.k.a. DC5, an English pop rock group comprising Dave Clark, Lenny Davidson, Rick Huxley, Denis Payton, and Mike Smith; active 1958–1970 * The Jackson 5, American pop rock group featuring various members of the Jackson family; they were billed (and active) as The Jackson 5, 1966–1975 * Hi-5, Australian pop kids group, where it has several international adaptations, and several members throughout the history of the band. It was also a TV show. * We Five: American folk rock group active 1965–1967 and 1968–1977 * Grandmaster Flash and the Furious Five: American rap group, 1970–80's * Fifth Harmony, an American
girl group A girl group is a music act featuring several female singers who generally harmonize together. The term "girl group" is also used in a narrower sense in the United States to denote the wave of American female pop music singing groups, many of who ...
. *
Ben Folds Five Ben Folds Five is an American alternative rock trio formed in 1993 in Chapel Hill, North Carolina. The group comprises Ben Folds (lead vocals, piano), Robert Sledge (bass guitar, backing vocals) and Darren Jessee (drums, backing vocals). The gro ...
, an American alternative rock trio, 1993–2000, 2008 and 2011–2013 * R5 (band), an American pop and alternative rock group, 2009–2018


Other uses

*A
perfect fifth In music theory, a perfect fifth is the Interval (music), musical interval corresponding to a pair of pitch (music), pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval fro ...
is the most consonant harmony, and is the basis for most western tuning systems. *Modern musical notation uses a
musical staff In Western musical notation, the staff (US and UK)"staff" in the Collin ...
made of five horizontal lines. *In
harmonic A harmonic is a wave with a frequency that is a positive integer multiple of the ''fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the ''1st harmonic'', the ...
s – the fifth
partial Partial may refer to: Mathematics * Partial derivative, derivative with respect to one of several variables of a function, with the other variables held constant ** ∂, a symbol that can denote a partial derivative, sometimes pronounced "partial ...
(or 4th overtone) of a
fundamental Fundamental may refer to: * Foundation of reality * Fundamental frequency, as in music or phonetics, often referred to as simply a "fundamental" * Fundamentalism, the belief in, and usually the strict adherence to, the simple or "fundamental" idea ...
has a frequency ratio of 5:1 to the frequency of that fundamental. This ratio corresponds to the interval of 2 octaves plus a pure major third. Thus, the interval of 5:4 is the interval of the pure third. A
major Major (commandant in certain jurisdictions) is a military rank of commissioned officer status, with corresponding ranks existing in many military forces throughout the world. When used unhyphenated and in conjunction with no other indicators ...
triad Triad or triade may refer to: * a group of three Businesses and organisations * Triad (American fraternities), certain historic groupings of seminal college fraternities in North America * Triad (organized crime), a Chinese transnational orga ...
chord Chord may refer to: * Chord (music), an aggregate of musical pitches sounded simultaneously ** Guitar chord a chord played on a guitar, which has a particular tuning * Chord (geometry), a line segment joining two points on a curve * Chord ( ...
when played in
just intonation In music, just intonation or pure intonation is the tuning of musical intervals Interval may refer to: Mathematics and physics * Interval (mathematics), a range of numbers ** Partially ordered set#Intervals, its generalization from numbers to ...
(most often the case in
a cappella ''A cappella'' (, also , ; ) music is a performance by a singer or a singing group without instrumental accompaniment, or a piece intended to be performed in this way. The term ''a cappella'' was originally intended to differentiate between Ren ...
vocal ensemble singing), will contain such a pure major third. *The number of completed, numbered piano concertos of
Ludwig van Beethoven Ludwig van Beethoven (baptised 17 December 177026 March 1827) was a German composer and pianist. Beethoven remains one of the most admired composers in the history of Western music; his works rank amongst the most performed of the classical ...
,
Sergei Prokofiev Sergei Sergeyevich Prokofiev; alternative transliterations of his name include ''Sergey'' or ''Serge'', and ''Prokofief'', ''Prokofieff'', or ''Prokofyev''., group=n (27 April .S. 15 April1891 â€“ 5 March 1953) was a Russian composer, p ...
, and
Camille Saint-Saëns Charles-Camille Saint-Saëns (; 9 October 183516 December 1921) was a French composer, organist, conductor and pianist of the Romantic music, Romantic era. His best-known works include Introduction and Rondo Capriccioso (1863), the Piano C ...
. *Using the Latin root, five musicians are called a quintet. *A scale with five notes per octave is called a pentatonic scale. *Five is the lowest possible number that can be the top number of a
time signature The time signature (also known as meter signature, metre signature, or measure signature) is a notational convention used in Western musical notation to specify how many beats (pulses) are contained in each measure (bar), and which note value ...
with an asymmetric meter.


Television

;Stations *
Channel 5 (UK) Channel 5 is a British free-to-air public broadcast television channel launched in 1997. It is the fifth national terrestrial channel in the United Kingdom and is owned by Channel 5 Broadcasting Limited, a wholly-owned subsidiary of American ...
, a television channel that broadcasts in the United Kingdom *
5 (TV channel) TV5 (also known as 5 and formerly known as ABC) is a Philippine free-to-air television network based in Mandaluyong, with its alternate studios located in Novaliches, Quezon City. It is the flagship property of TV5 Network, Inc. with Cignal TV ...
(''formerly known as ABC 5 and TV5'') (
DWET-TV DWET-TV, channel 5 (analog) and channel 18 (digital), is the flagship TV station of Philippine television network TV5. The station is owned and operated by TV5 Network Inc., which is owned by MediaQuest Holdings, the multimedia arm of Phil ...
channel 5 In Metro Manila) a television network in the Philippines. ; ;Series *'' Babylon 5'', a science fiction television series *The number 5 features in the television series ''Battlestar Galactica'' in regards to the
Final Five cylons The Cylons are the main antagonists of the human race in the '' Battlestar Galactica'' science fiction franchise, making appearances in the original 1978 series, the 1980 series, the 2004 re-imagining, and the spin-off prequel series '' C ...
and the Temple of Five * ''Hi-5'' (Australian TV series), a television series from Australia * ''Hi-5'' (UK TV series), a television show from the United Kingdom * ''Hi-5'' Philippines a television show from the Philippines *'' Odyssey 5'', a 2002 science fiction television series *''
Tillbaka till Vintergatan Vintergatan (Swedish name for the Milky Way or "Winter Street") were TV series broadcast in 2000, 2001, 2003 and 2010 by Sveriges Television and directed and written by Petter Bragée. Vintergatan 5a Vintergatan 5a was broadcast as "''Sommarlovsm ...
'', a Swedish children's television series featuring a character named "Femman" (meaning five), who can only utter the word 'five'. *'' The Five'' (talk show): Fox News Channel roundtable current events television show, premiered 2011, so-named for its panel of five commentators. *''
Yes! PreCure 5 is a Japanese anime series and the fourth installment in Izumi Todo's ''Pretty Cure'' metaseries produced by Toei Animation, featuring the third generation of Cures. The series aired on TV Asahi between February 2007 and January 2008 and ...
'' is a 2007 anime series which follows the adventures of Nozomi and her friends. It is also followed by the 2008 sequel ''
Yes! Pretty Cure 5 GoGo! is a Japanese anime series and the fourth installment in Izumi Todo's ''Pretty Cure'' metaseries produced by Toei Animation, featuring the third generation of Cures. The series aired on TV Asahi between February 2007 and January 2008 and ...
'' *'' The Quintessential Quintuplets'' is a 2019 slice of life romance anime series which follows the everyday life of five identical quintuplets and their interactions with their tutor. It has two seasons, and a final movie is scheduled in summer 2022. * ''Hawaii Five-0'', CBS American TV series.


Literature

* ''The Famous Five'' is a series of children's books by British writer Enid Blyton *'' The Power of Five'' is a series of children's books by British writer and screenwriter Anthony Horowitz *''
The Fall of Five ''The Fall of Five'' is the fourth book of the Lorien Legacies series by the pseudonymous author Pittacus Lore. It is the next book after ''The Rise of Nine ''The Rise of Nine'' is a young adult teen fiction novel by Pittacus Lore and the t ...
'' is a book written under the collective pseudonym Pittacus Lore in the series ''Lorien Legacies'' *'' The Book of Five Rings'' is a text on
kenjutsu is an umbrella term for all ('' ko-budƍ'') schools of Japanese swordsmanship, in particular those that predate the Meiji Restoration. Some modern styles of kendo and iaido that were established in the 20th century also included modern forms of ...
and the martial arts in general, written by the swordsman Miyamoto Musashi circa 1645 *'' Slaughterhouse-Five'' is a book by Kurt Vonnegut about World War II


Sports

*The
Olympic Games The modern Olympic Games or Olympics (french: link=no, Jeux olympiques) are the leading international sporting events featuring summer and winter sports competitions in which thousands of athletes from around the world participate in a var ...
have five interlocked rings as their symbol, representing the number of inhabited
continent A continent is any of several large landmasses. Generally identified by convention rather than any strict criteria, up to seven geographical regions are commonly regarded as continents. Ordered from largest in area to smallest, these seven ...
s represented by the Olympians (Europe, Asia, Africa, Australia and Oceania, and the Americas). * In AFL Women's, the top level of
women's A woman is an adult female human. Prior to adulthood, a female human is referred to as a girl (a female child or adolescent). The plural ''women'' is sometimes used in certain phrases such as "women's rights" to denote female humans regardl ...
Australian rules football Australian football, also called Australian rules football or Aussie rules, or more simply football or footy, is a contact sport played between two teams of 18 players on an oval field, often a modified cricket ground. Points are scored by k ...
, each team is allowed 5 "
interchanges Interchange may refer to: Transport * Interchange (road), a collection of ramps, exits, and entrances between two or more highways * Interchange (freight rail), the transfer of freight cars between railroad companies * Interchange station, a rai ...
" (substitute players), who can be freely substituted at any time. *In
baseball scorekeeping Baseball scorekeeping is the practice of recording the details of a baseball game as it unfolds. Professional baseball leagues hire official scorers to keep an official record of each game (from which a box score can be generated), but many fans k ...
, the number 5 represents the
third baseman A third baseman, abbreviated 3B, is the player in baseball or softball whose responsibility is to defend the area nearest to third base — the third of four bases a baserunner must touch in succession to score a run. In the scoring system us ...
's position. *In
basketball Basketball is a team sport in which two teams, most commonly of five players each, opposing one another on a rectangular Basketball court, court, compete with the primary objective of #Shooting, shooting a basketball (ball), basketball (appr ...
: **The number 5 is used to represent the position of center. **Each team has five players on the court at a given time. Thus, the phrase "five on five" is commonly used to describe standard competitive basketball. **The "5-second rule" refers to several related rules designed to promote continuous play. In all cases, violation of the rule results in a turnover. **Under the
FIBA The International Basketball Federation (FIBA ; French: ) is an association of national organizations which governs the sport of basketball worldwide. Originally known as the (hence FIBA), in 1989 it dropped the word ''amateur'' from its na ...
(used for all international play, and most non-US leagues) and NCAA women's rule sets, a team begins shooting bonus free throws once its opponent has committed five personal fouls in a quarter. **Under the FIBA rules, A player fouls out and must leave the game after committing five fouls * Five-a-side football is a variation of
association football Association football, more commonly known as football or soccer, is a team sport played between two teams of 11 players who primarily use their feet to propel the ball around a rectangular field called a pitch. The objective of the game is ...
in which each team fields five players. *In
ice hockey Ice hockey (or simply hockey) is a team sport played on ice skates, usually on an ice skating rink with lines and markings specific to the sport. It belongs to a family of sports called hockey. In ice hockey, two opposing teams use ice hock ...
: ** A major penalty lasts five minutes. ** There are five different ways that a player can score a goal (teams at even strength, team on the power play, team playing shorthanded, penalty shot, and empty net). ** The area between the goaltender's legs is known as the
five-hole The five-hole is an ice hockey term for the space between a goaltender's legs. The name and its first recorded usage was in 1976 by Flyer Reggie Leach The phrases ''through the five-hole'' and ''gone five-hole'' are used when a player scores by sh ...
. *In most
rugby league Rugby league football, commonly known as just rugby league and sometimes football, footy, rugby or league, is a full-contact sport played by two teams of thirteen players on a rectangular field measuring 68 metres (75 yards) wide and 112 ...
competitions, the starting
left wing Left-wing politics describes the range of political ideologies that support and seek to achieve social equality and egalitarianism, often in opposition to social hierarchy. Left-wing politics typically involve a concern for those in soci ...
wears this number. An exception is the
Super League The Super League (officially known as the Betfred Super League due to sponsorship from Betfred and legally known as Super League Europe), is the top-level of the British rugby league system. At present the league consists of twelve teams, of wh ...
, which uses static squad numbering. *In
rugby union Rugby union, commonly known simply as rugby, is a close-contact team sport that originated at Rugby School in the first half of the 19th century. One of the two codes of rugby football, it is based on running with the ball in hand. In its m ...
: ** A
try Try or TRY may refer to: Music Albums * ''Try!'', an album by the John Mayer Trio * ''Try'' (Bebo Norman album) (2014) Songs * "Try" (Blue Rodeo song) (1987) * "Try" (Colbie Caillat song) (2014) * "Try" (Nelly Furtado song) (2004) * " Try (Ju ...
is worth 5 points. ** One of the two starting lock forwards wears number 5, and usually jumps at number 4 in the line-out. ** In the French variation of the bonus points system, a bonus point in the league standings is awarded to a team that loses by 5 or fewer points.


Technology

*5 is the most common number of gears for automobiles with
manual transmission A manual transmission (MT), also known as manual gearbox, standard transmission (in Canada, the United Kingdom, and the United States), or stick shift (in the United States), is a multi-speed motor vehicle transmission (mechanics), transmission ...
. *In radio communication, the term "
Five by five A signal strength and readability report is a standardized format for reporting the strength of the radio signal and the readability (quality) of the radiotelephone (voice) or radiotelegraph (Morse code) signal transmitted by another station as re ...
" is used to indicate perfect signal strength and clarity. *On almost all devices with a numeric keypad such as telephones, computers, etc., the 5 key has a raised dot or raised bar to make dialing easier. Persons who are blind or have low vision find it useful to be able to feel the keys of a telephone. All other numbers can be found with their relative position around the 5 button (on computer keyboards, the 5 key of the
numpad A numeric keypad, number pad, numpad, or ten key, is the palm-sized, usually-17-key section of a standard computer keyboard, usually on the far right. It provides calculator-style efficiency for entering numbers. The idea of a 10-key nu ...
has the raised dot or bar, but the 5 key that shifts with % does not). *On most
telephone A telephone is a telecommunications device that permits two or more users to conduct a conversation when they are too far apart to be easily heard directly. A telephone converts sound, typically and most efficiently the human voice, into e ...
s, the 5 key is associated with the letters J, K, and L, but on some of the
BlackBerry The blackberry is an edible fruit produced by many species in the genus ''Rubus'' in the family Rosaceae, hybrids among these species within the subgenus ''Rubus'', and hybrids between the subgenera ''Rubus'' and ''Idaeobatus''. The taxonomy of ...
phones, it is the key for G and H. *The Pentium, coined by
Intel Corporation Intel Corporation is an American multinational corporation and technology company headquartered in Santa Clara, California. It is the world's largest semiconductor chip manufacturer by revenue, and is one of the developers of the x86 series ...
, is a fifth-generation x86 architecture microprocessor. *The resin identification code used in recycling to identify polypropylene.


Miscellaneous fields

Five can refer to: *"Give me five" is a common phrase used preceding a high five. *An informal term for the British Security Service, MI5. *Five babies born at one time are multiple birth, quintuplets. The most famous set of quintuplets were the Dionne quintuplets born in the 1930s. *In the United States legal system, the Fifth Amendment to the United States Constitution can be referred to in court as "pleading the fifth", absolving the defendant from self-incrimination. *Pentameter is verse with five repeating feet per line; iambic pentameter was the most popular form in William Shakespeare, Shakespeare. *Aether (classical element), Quintessence, meaning "fifth element", refers to the elusive fifth element that completes the basic four elements (water, fire, air, and earth) *The designation of an Interstate Highway System, Interstate Highway (Interstate 5) that runs from San Diego, California to Blaine, Washington. In addition, all major north-south Interstate Highways in the United States end in 5. *In the computer game ''Riven'', 5 is considered a holy number, and is a recurring theme throughout the game, appearing in hundreds of places, from the number of islands in the game to the number of bolts on pieces of machinery. *''The Garden of Cyrus'' (1658) by Sir Thomas Browne is a Pythagorean discourse based upon the number 5. *The holy number of Discordianism, as dictated by the Discordianism#Law of Fives, Law of Fives. *The number of Justices on the Supreme Court of the United States necessary to render a majority decision. *The number of dots in a quincunx. *The number of permanent members with veto power on the United Nations Security Council. *The number of sides and the number of angles in a pentagon. *The number of points in a pentagram. *The number of Korotkoff sounds when measuring blood pressure *The drink Five Alive is named for its five ingredients. The drink Punch (drink), punch derives its name after the Sanskrit à€Șà€žà„à€š (pañc) for having five ingredients. *The Keating Five were five United States Senate, United States Senators accused of corruption in 1989. *The Inferior Five: Merryman, Awkwardman, The Blimp, White Feather, and Dumb Bunny. DC Comics parody superhero team. *Chanel No. 5, No. 5 is the name of the iconic fragrance created by Coco Chanel. *The Committee of Five was delegated to draft the United States United States Declaration of Independence, Declaration of Independence. *The five-second rule is a commonly used rule of thumb for dropped food. *555 95472, usually referred to simply as 5, is a minor male character in the comic strip ''Peanuts''.


See also

*Five Families *Five Nations (disambiguation) *555 (number) *List of highways numbered 5


References

*Wells, D. ''The Penguin Dictionary of Curious and Interesting Numbers'' London: Penguin Group. (1987): 58–67


External links

* *
The Number 5The Positive Integer 5
{{DEFAULTSORT:5 (Number) Integers 5 (number)