163 (number)
   HOME

TheInfoList



OR:

163 (one hundred ndsixty-three) 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 ...
following 162 and preceding 164.


In mathematics

163 is a strong prime in the sense that it is greater than the arithmetic mean of its two neighboring primes. 163 is a lucky prime and a fortunate number. 163 is a strictly non-palindromic number, since it is not palindromic in any base between base 2 and base 161. Given 163, the
Mertens function In number theory, the Mertens function is defined for all positive integers ''n'' as : M(n) = \sum_^n \mu(k), where \mu(k) is the Möbius function. The function is named in honour of Franz Mertens. This definition can be extended to positive re ...
returns 0, it is the fourth prime with this property, the first three such primes are 2, 101 and
149 149 may refer to: *149 (number), a natural number * AD 149, a year in the 2nd century AD *149 BC __NOTOC__ Year 149 BC was a year of the Roman calendar, pre-Julian Roman calendar. At the time it was known as the Year of the Consulship of Censori ...
. 163 figures in an approximation of π, in which \pi \approx \approx 3.1411. 163 figures in an approximation of ''e'', in which e \approx \approx 2.7166\dots. 163 is a
Heegner number In number theory, a Heegner number (as termed by Conway and Guy) is a square-free positive integer ''d'' such that the imaginary quadratic field \Q\left sqrt\right/math> has class number 1. Equivalently, its ring of integers has unique factoriz ...
, the largest of the nine such numbers. That is, the
ring of integers In mathematics, the ring of integers of an algebraic number field K is the ring of all algebraic integers contained in K. An algebraic integer is a root of a monic polynomial with integer coefficients: x^n+c_x^+\cdots+c_0. This ring is often d ...
of the field \mathbb(\sqrt) has unique factorization for a=163. The only other such integers are a = 1, 2, 3, 7, 11, 19, 43, 67. 163 is the number of -independent McKay-Thompson series for the
monster group In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having order    2463205976112133171923293141475 ...
. This fact about 163 might be a clue for understanding
monstrous moonshine In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group ''M'' and modular functions, in particular, the ''j'' function. The term was coined by John Conway and Simon P. Norton in 1979 ...
. 163 is a
permutable prime A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number. H. E. Richert, who is supposedly the first to study thes ...
in
base 12 The duodecimal system (also known as base 12, dozenal, or, rarely, uncial) is a positional notation numeral system using twelve as its base. The number twelve (that is, the number written as "12" in the decimal numerical system) is instead wr ...
, which it is written as 117, the
permutation In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or p ...
s of its digits are 171 and 711, the two numbers in base 12 are 229 and 1021 in base 10, both of which are prime. The function f(n) = n^2 + n + 41 gives prime values for all values of n between 0 and 39, and for n < 10^7 approximately half of all values are prime. 163 appears as a result of solving f(n)=0, which gives n = (-1+ \sqrt ) / 2. \sqrt appears in the Ramanujan constant, since -163 is a quadratic nonresidue to modulo all the primes 3, 5, 7, ..., 37. In which e^ almost equals the integer 262537412640768744 = 6403203 + 744.
Martin Gardner Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writings of L ...
famously asserted that this identity was exact in a 1975 April Fools' hoax in ''
Scientific American ''Scientific American'', informally abbreviated ''SciAm'' or sometimes ''SA'', is an American popular science magazine. Many famous scientists, including Albert Einstein and Nikola Tesla, have contributed articles to it. In print since 1845, it i ...
''; in fact the value is 262537412640768743.99999999999925007259...


In astronomy

* 163 Erigone is a dark
Main belt The asteroid belt is a torus-shaped region in the Solar System, located roughly between the orbits of the planets Jupiter and Mars. It contains a great many solid, irregularly shaped bodies, of many sizes, but much smaller than planets, called ...
asteroid An asteroid is a minor planet of the Solar System#Inner solar system, inner Solar System. Sizes and shapes of asteroids vary significantly, ranging from 1-meter rocks to a dwarf planet almost 1000 km in diameter; they are rocky, metallic o ...
, the namesake of the Erigone family of asteroids


In the US military

* was a
United States Navy The United States Navy (USN) is the maritime service branch of the United States Armed Forces and one of the eight uniformed services of the United States. It is the largest and most powerful navy in the world, with the estimated tonnage ...
tanker ship during
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...
* was a diesel-electric submarine during World War II * was a United States Navy during World War II * was a United States Navy ''Trefoil''-class concrete barge during World War II * was a United States Navy during World War II * was a United States Navy during World War II * was a United States Navy during World War II * was a United States Navy during World War II * was a United States Navy following World War II * was a commercial
yacht A yacht is a sailing or power vessel used for pleasure, cruising, or racing. There is no standard definition, though the term generally applies to vessels with a cabin intended for overnight use. To be termed a , as opposed to a , such a pleasu ...
during
World War I World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was List of wars and anthropogenic disasters by death toll, one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, ...
* was a United States Navy during World War I * 163rd Fighter Squadron, a unit of the Indiana Air National Guard, flies the
F-16C/D Fighting Falcon A large number of variants of the General Dynamics F-16 Fighting Falcon have been produced by General Dynamics, Lockheed Martin, and various licensed manufacturers. The details of the F-16 variants, along with major modification programs and de ...


In sports

* Russ Howell at the
Long Beach, California Long Beach is a city in Los Angeles County, California. It is the 42nd-most populous city in the United States, with a population of 466,742 as of 2020. A charter city, Long Beach is the seventh-most populous city in California. Incorporate ...
World Championship in 1977 performed a world record 163 full rotations in
freestyle skateboarding tricks A freestyle skateboarding trick is a trick performed with a skateboard while freestyle skateboarding. Some of these tricks are done in a stationary position, unlike many other skateboarding tricks. The keys to a good freestyle contest run are va ...
* In
darts Darts or dart-throwing is a competitive sport in which two or more players bare-handedly throw small sharp-pointed missiles known as darts at a round target known as a dartboard. Points can be scored by hitting specific marked areas of the ...
, 163 is the lowest number that cannot be shot with three darts on a standard dart board


In transportation

* Peugeot Type 163 automobile produced from 1919 to 1924 *
Messerschmitt Me 163 The Messerschmitt Me 163 Komet is a rocket-powered interceptor aircraft primarily designed and produced by the German aircraft manufacturer Messerschmitt. It is the only operational rocket-powered fighter aircraft in history as well as ...
Komet was a German rocket-powered fighter aircraft. during
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the World War II by country, vast majority of the world's countries—including all of the great power ...
* Intervale Avenue –163rd Street subway station,
Bronx, New York The Bronx () is a Boroughs of New York City, borough of New York City, coextensive with Bronx County, in the U.S. state, state of New York (state), New York. It is south of Westchester County, New York, Westchester County; north and east of the ...
subway station on the
IRT White Plains Road Line The White Plains Road Line is a rapid transit line of the A Division of the New York City Subway serving the central Bronx. It is mostly elevated and served both subway and elevated trains until 1952. The original part of the line, the part ...
of the New York City Subway in the USA. * 163rd Street–Amsterdam Avenue station on the
IND Eighth Avenue Line The IND Eighth Avenue Line is a rapid transit line in New York City, United States, and is part of the B Division of the New York City Subway. Opened in 1932, it was the first line of the Independent Subway System (IND), and the ''Eighth Aven ...
of the New York City Subway in America. * The
Bunche Park Bunche Park is a neighborhood in Miami Gardens, Florida, United States. It was formerly a census-designated place. Geography Bunche Park is located at (25.921871, -80.234469). According to the United States Census Bureau, the CDP has a to ...
Metrorail station in
Bunche Park, Florida Bunche Park is a neighborhood in Miami Gardens, Florida, United States. It was formerly a census-designated place. Geography Bunche Park is located at (25.921871, -80.234469). According to the United States Census Bureau, the CDP has a total ...
, United States, at Northwest 163rd Street and 27th Avenue, set to open in 2014 * Saudi Arabian Airlines Flight 163 caught fire at
Riyadh Riyadh (, ar, الرياض, 'ar-Riyāḍ, Literal translation, lit.: 'The Gardens' Najdi Arabic, Najdi pronunciation: ), formerly known as Hajr al-Yamamah, is the capital and largest city of Saudi Arabia. It is also the capital of the Riyad ...
's International Airport en route from
Karachi, Pakistan Karachi (; ur, ; ; ) is the most populous city in Pakistan and 12th most populous city in the world, with a population of over 20 million. It is situated at the southern tip of the country along the Arabian Sea coast. It is the former c ...
on August 19, 1980 * Iraqi Airways Flight 163, en route from
Baghdad Baghdad (; ar, بَغْدَاد , ) is the capital of Iraq and the second-largest city in the Arab world after Cairo. It is located on the Tigris near the ruins of the ancient city of Babylon and the Sassanid Persian capital of Ctesipho ...
's
Baghdad International Airport Baghdad International Airport , previously Saddam International Airport ( ar, مطار بغداد الدولي, Maṭār Baġdād ad-Dawaliyy) is Iraq's largest international airport, located in a suburb about west of downtown Baghdad in the ...
to Amman,
Jordan Jordan ( ar, الأردن; tr. ' ), officially the Hashemite Kingdom of Jordan,; tr. ' is a country in Western Asia. It is situated at the crossroads of Asia, Africa, and Europe, within the Levant region, on the East Bank of the Jordan Ri ...
, was hijacked and crashed on December 25, 1986 * List of highways numbered 163


In other fields

163 is also: * 163 AH is a year in the
Islamic calendar The Hijri calendar ( ar, ٱلتَّقْوِيم ٱلْهِجْرِيّ, translit=al-taqwīm al-hijrī), also known in English as the Muslim calendar and Islamic calendar, is a lunar calendar consisting of 12 lunar months in a year of 354 ...
that corresponds to 779 – 780 CE * CD163 (Cluster of Differentiation 163) is a human
protein Proteins are large biomolecules and macromolecules that comprise one or more long chains of amino acid residues. Proteins perform a vast array of functions within organisms, including catalysing metabolic reactions, DNA replication, respon ...
encoded by the
gene In biology, the word gene (from , ; "... Wilhelm Johannsen coined the word gene to describe the Mendelian units of heredity..." meaning ''generation'' or ''birth'' or ''gender'') can have several different meanings. The Mendelian gene is a b ...
* The Glossen Opus 163
waltz The waltz ( ), meaning "to roll or revolve") is a ballroom and folk dance, normally in triple ( time), performed primarily in closed position. History There are many references to a sliding or gliding dance that would evolve into the w ...
by
Johann Strauss II Johann Baptist Strauss II (25 October 1825 – 3 June 1899), also known as Johann Strauss Jr., the Younger or the Son (german: links=no, Sohn), was an Austrian composer of light music, particularly dance music and operettas. He composed ov ...
(1855) * The number of days following the first day of
Passover Passover, also called Pesach (; ), is a major Jewish holiday that celebrates the Biblical story of the Israelites escape from slavery in Egypt, which occurs on the 15th day of the Hebrew month of Nisan, the first month of Aviv, or spring. ...
(Pesach), used to calculate the date of
Rosh Hashanah Rosh HaShanah ( he, רֹאשׁ הַשָּׁנָה, , literally "head of the year") is the Jewish New Year. The biblical name for this holiday is Yom Teruah (, , lit. "day of shouting/blasting") It is the first of the Jewish High Holy Days (, , ...
, the Jewish New Year. * The
Burj Khalifa The Burj Khalifa (; ar, برج خليفة, , Khalifa Tower), known as the Burj Dubai prior to its inauguration in 2010, is a skyscraper in Dubai, United Arab Emirates. It is known for being the world’s tallest building. With a total height ...
in Dubai, United Arab Emirates, which is the tallest building in the world, has 163 floors.


See also

* 163 (disambiguation) *
United Nations Security Council Resolution 163 United Nations Security Council Resolution 163, adopted on June 9, 1961, after General Assembly Resolution 1603 declaring Angola a Non-Self-Governing Territory the Council reaffirmed that resolution calling on Portugal to act in accordance with t ...
* United States Supreme Court cases, Volume 163


References

* Wells, D. (1987). '' The Penguin Dictionary of Curious and Interesting Numbers'' (pp. 141–142). London: Penguin Group.


External links

*
The Number 163

The Positive Integer 163



163.com
website from
NetEase NetEase, Inc. () is a Chinese Internet technology company providing online services centered on content, community, communications, and commerce. The company was founded in 1997 by Ding Lei. NetEase develops and operates online PC and mobile gam ...

The coolest number is 163

163, the Monster and Number Theory



International Brotherhood of Electrical Workers Local Union 163





Other interesting consequences of ''d''=163?
from Mathematics Stack Exchange {{DEFAULTSORT:163 (Number) Integers