107 (number)
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107 (one hundred ndseven) 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 ...
following 106 and preceding
108 108 may refer to: * 108 (number) * AD 108, a year * 108 BC, a year * 108 (artist) (born 1978), Italian street artist * 108 (band), an American hardcore band * 108 (emergency telephone number), an emergency telephone number in several states in Ind ...
.


In mathematics

107 is the 28th
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 ...
. The next prime is 109, with which it comprises a
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 ...
, making 107 a
Chen prime A prime number ''p'' is called a Chen prime if ''p'' + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2''p'' + 2 therefore satisfies Chen's theorem. The Chen primes are named after Chen Jingru ...
. Plugged into the expression 2^p - 1, 107 yields 162259276829213363391578010288127, a
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 ...
. 107 is itself a
safe prime In number theory, a prime number ''p'' is a if 2''p'' + 1 is also prime. The number 2''p'' + 1 associated with a Sophie Germain prime is called a . For example, 11 is a Sophie Germain prime and 2 × 11 +  ...
. It is the fourth Busy beaver number, the maximum number of steps that any
Turing machine A Turing machine is a mathematical model of computation describing an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model's simplicity, it is capable of implementing any computer algori ...
with 2 symbols and 4 states can make before eventually halting. It is the number of triangle-free graphs on 7 vertices. It is the ninth
emirp An emirp (''prime'' spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed. This definition excludes the related palindromic primes. The term ''reversible prime'' is used to mean the same as ...
, because reversing it's digits gives another prime number (701)


In other fields

As "one hundred ''and'' seven", it is the smallest positive integer requiring six syllables in English (without the "and" it only has five syllables and seventy-seven is a smaller 5-syllable number). 107 is also: * 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
bohrium Bohrium is a synthetic chemical element with the symbol Bh and atomic number 107. It is named after Danish physicist Niels Bohr. As a synthetic element, it can be created in a laboratory but is not found in nature. All known isotopes of bohriu ...
. * The emergency telephone number in
Argentina Argentina (), officially the Argentine Republic ( es, link=no, República Argentina), is a country in the southern half of South America. Argentina covers an area of , making it the second-largest country in South America after Brazil, th ...
and
Cape Town Cape Town ( af, Kaapstad; , xh, iKapa) is one of South Africa's three capital cities, serving as the seat of the Parliament of South Africa. It is the legislative capital of the country, the oldest city in the country, and the second largest ...
. * The telephone of the police in
Hungary Hungary ( hu, Magyarország ) is a landlocked country in Central Europe. Spanning of the Carpathian Basin, it is bordered by Slovakia to the north, Ukraine to the northeast, Romania to the east and southeast, Serbia to the south, Croatia a ...
. * A common designation for the
fair use Fair use is a doctrine in United States law that permits limited use of copyrighted material without having to first acquire permission from the copyright holder. Fair use is one of the limitations to copyright intended to balance the interests ...
exception in copyright law (from 17 U.S.C. 107) *
Peugeot 107 The Peugeot 107 is a city car produced by French automaker Peugeot, launched in June 2005, and produced until 2014. The 107 was developed by the B-Zero project of PSA Peugeot Citroën in a joint venture with Toyota; the Citroën C1 and Toyota A ...
model of car


In sports

* The 107% rule, a
Formula One Formula One (also known as Formula 1 or F1) is the highest class of international racing for open-wheel single-seater formula racing cars sanctioned by the Fédération Internationale de l'Automobile (FIA). The World Drivers' Championship, ...
Sporting Regulation in operation from 1996 to 2002 and 2011 onward. * The number 107 is also associated with the
Timbers Army The Timbers Army is an independent supporters group of Portland Timbers, a soccer club in Major League Soccer—the top tier of the United States soccer pyramid. Its members are known for their loud, enthusiastic support and the raucous atmos ...
supporters group of the
Portland Timbers The Portland Timbers are an American professional men's soccer club based in Portland, Oregon. The Timbers compete in Major League Soccer (MLS) as a member club of the league's Western Conference. The Timbers have played their home games at P ...
soccer 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 ...
team, in reference to the stadium seating section where the group originally congregated.


See also

* List of highways numbered 107


References

{{DEFAULTSORT:107 (Number) Integers