51 (number)
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51 (fifty-one) 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 50 and preceding 52.


In mathematics

Fifty-one is * a pentagonal number as well as a centered pentagonal number and an 18-gonal number *the 6th Motzkin number, telling the number of ways to draw non-intersecting chords between any six points on a circle's boundary, no matter where the points may be located on the boundary. *a Perrin number., coming after 22, 29, 39 in the sequence (and the sum of the first two) * a Størmer number, since the greatest prime factor of 512 + 1 = 2602 is 1301, which is substantially more than 51 twice. *There are 51 different
cyclic Cycle, cycles, or cyclic may refer to: Anthropology and social sciences * Cyclic history, a theory of history * Cyclical theory, a theory of American political history associated with Arthur Schlesinger, Sr. * Social cycle, various cycles in so ...
Gilbreath permutation A Gilbreath shuffle is a way to shuffle a deck of cards, named after mathematician Norman Gilbreath (also known for Gilbreath's conjecture). Gilbreath's principle describes the properties of a deck that are preserved by this type of shuffle, and ...
s on 10 elements, and therefore there are 51 different real periodic points of order 10 on the Mandelbrot set.. *Since 51 is the product of the distinct Fermat primes 3 and 17, a regular polygon with 51 sides is constructible with compass and straightedge, the angle is constructible, and the number
cos Cos, COS, CoS, coS or Cos. may refer to: Mathematics, science and technology * Carbonyl sulfide * Class of service (CoS or COS), a network header field defined by the IEEE 802.1p task group * Class of service (COS), a parameter in telephone syst ...
is expressible in terms of square roots.


In other fields

51 is: *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 ever ...
of
antimony Antimony is a chemical element with the symbol Sb (from la, stibium) and atomic number 51. A lustrous gray metalloid, it is found in nature mainly as the sulfide mineral stibnite (Sb2S3). Antimony compounds have been known since ancient ti ...
* The code for international direct dial phone calls to
Peru , image_flag = Flag of Peru.svg , image_coat = Escudo nacional del Perú.svg , other_symbol = Great Seal of the State , other_symbol_type = National seal , national_motto = "Firm and Happy f ...
* The last possible
television channel A television channel is a terrestrial frequency or virtual number over which a television station or television network is distributed. For example, in North America, "channel 2" refers to the terrestrial or cable band of 54 to 60 MHz, with ...
number in the
UHF Ultra high frequency (UHF) is the ITU designation for radio frequencies in the range between 300 megahertz (MHz) and 3 gigahertz (GHz), also known as the decimetre band as the wavelengths range from one meter to one tenth of a meter (on ...
bandplan for American terrestrial television from December 31, 2011, when channels 5269 were withdrawn, to July 3, 2020, when channels 38—51 were removed from the bandplan. *The number of the laps of the
Azerbaijan Grand Prix The Azerbaijan Grand Prix ( az, Azərbaycan Qran Prisi) is a Formula One motor racing event that was held for the first time in . It is held on the Baku City Circuit, a street circuit in Baku, the capital of Azerbaijan. The event is due to take ...
. * In the 2006 film '' Cars'', 51 was
Doc Hudson Doctor Hudson Hornet, MD (also known as The Fabulous Hudson Hornet, Hud, Doc Hudson, or simply, Doc) is an animated, anthropomorphic retired race car which appears in the 2006 Pixar film ''Cars'' as a medical doctor and a local judge. He is ...
's number. * The Area 51. * The fire station number in the television series '' Emergency!''. * The number of essays
Alexander Hamilton Alexander Hamilton (January 11, 1755 or 1757July 12, 1804) was an American military officer, statesman, and Founding Father who served as the first United States secretary of the treasury from 1789 to 1795. Born out of wedlock in Charle ...
wrote as part of ''The Federalist Papers'' defending the US constitution


See also

* AD 51, a year in the
Julian calendar The Julian calendar, proposed by Roman consul Julius Caesar in 46 BC, was a reform of the Roman calendar. It took effect on , by edict. It was designed with the aid of Greek mathematicians and astronomers such as Sosigenes of Alexandri ...
* List of highways numbered 51 * The model number of the
P-51 Mustang The North American Aviation P-51 Mustang is an American long-range, single-seat fighter and fighter-bomber used during World War II and the Korean War, among other conflicts. The Mustang was designed in April 1940 by a team headed by James ...
World War II fighter aircraft * Area 51, a parcel of U.S. military-controlled land in southern Nevada, apparently containing a secret aircraft testing facility * '' Photo 51'', an X-ray image of key importance in elucidating the structure of DNA in the 1950s * '' Fifty-One Tales'', part of the title of a collection of stories by Lord Dunsany * "
51st State 51st state in American political discourse refers to areas considered candidates for U.S. statehood, joining the 50 states that have constituted the United States since 1959. The phrase has been applied to external territories as well as parts ...
", any future US state, usually referring to Washington D.C. or Puerto Rico. Occasionally used in commentary to refer to non-US entities (such as
Alberta Alberta ( ) is one of the thirteen provinces and territories of Canada. It is part of Western Canada and is one of the three prairie provinces. Alberta is bordered by British Columbia to the west, Saskatchewan to the east, the Northwest T ...
) adopting US-like policies or seeking to become part of the US. * ''51'' (film), a 2011 American horror film * " Fifty-One", an episode of ''Breaking Bad'' * Pastis 51, often just called "51", is a brand of pastis owned by
Pernod Ricard Pernod Ricard () is a French company best known for its anise-flavoured pastis apéritifs Pernod Anise and Ricard Pastis (often referred to simply as ''Pernod'' or '' Ricard''). The world’s second-largest wine and spirits seller, it also pro ...
. *
Greg Murphy Gregory Murphy (born 23 August 1972) is a New Zealand professional racing driver, best known as a four-time winner of the Bathurst 1000. Greg Murphy joined Jeremy Clarkson and James May presenting Top Gear Live, when it had its first intern ...
used "#51" for most of the seasons he raced in V8 Supercars *'' Clubhouse Games: 51 Worldwide Classics'', a Nintendo Switch video game with fifty-one activities


References

{{Integers, zero Integers