151 (number)
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151 (one hundred ndfifty-one) is a
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 ...
. It follows 150 and precedes
152 Year 152 (Roman numerals, CLII) was a leap year starting on Friday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Glabrio and Homullus (or, less frequently, year 905 ''Ab ...
.


In mathematics

151 is the 36th
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 previous is 149, 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 p ...
. 151 is also a palindromic prime, a
centered decagonal number A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot in successive decagonal layers. The centered decagonal number for ''n'' is given by th ...
, and a
lucky number In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the Sieve of Eratosthenes that generates the primes, but it eliminates numbers based on their position in the remain ...
. 151 appears in the
Padovan sequence In number theory, the Padovan sequence is the sequence of integers ''P''(''n'') defined. by the initial values :P(0)=P(1)=P(2)=1, and the recurrence relation :P(n)=P(n-2)+P(n-3). The first few values of ''P''(''n'') are :1, 1, 1, 2, 2, 3, 4, 5 ...
, preceded by the terms 65, 86, 114; it is the sum of the first two of these. 151 is a
unique prime The reciprocals of prime numbers have been of interest to mathematicians for various reasons. They do not have a finite sum, as Leonhard Euler proved in 1737. Like all rational numbers, the reciprocals of primes have repeating decimal represen ...
in base 2, since it is the only prime with period 15 in base 2. 151 is the number of uniform paracompact honeycombs with infinite
facets A facet is a flat surface of a geometric shape, e.g., of a cut gemstone. Facet may also refer to: Arts, entertainment, and media * ''Facets'' (album), an album by Jim Croce * ''Facets'', a 1980 album by jazz pianist Monty Alexander and his tri ...
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 of a polyhedron. Mark a point somewhere along each connected edge. Draw line ...
s in the third dimension, which stem from 23 different
Coxeter group In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic mirrors). Indeed, the finite Coxeter groups are precisely the finite Euclidean refle ...
s. Split into two whole numbers, 151 is the sum of 75 and 76, both of which are also relevant numbers in Euclidean and hyperbolic space: * 75 is the total number of non-
prismatic An optical prism is a transparent optical element with flat, polished surfaces that are designed to refract light. At least one surface must be angled — elements with two parallel surfaces are ''not'' prisms. The most familiar type of optical ...
uniform polyhedra In geometry, a uniform polyhedron has regular polygons as faces and is vertex-transitive (i.e., there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent. Uniform polyhedra may be regular (if also ...
, which incorporate
regular polyhedra A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags. A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive. In classical contexts, many different equival ...
, semiregular polyhedra, and star polyhedra, *75 is also the number of uniform compound polyhedra, inclusive of seven types of families of prisms and
antiprisms In geometry, an antiprism or is a polyhedron composed of two parallel direct copies (not mirror images) of an polygon, connected by an alternating band of triangles. They are represented by the Conway notation . Antiprisms are a subclass o ...
, * 76 is the number of unique uniform ''compact'' hyperbolic honeycombs that are solely generated from Wythoff constructions. While 151 is the 36th indexed prime, its
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 p ...
149 has a
reciprocal Reciprocal may refer to: In mathematics * Multiplicative inverse, in mathematics, the number 1/''x'', which multiplied by ''x'' gives the product 1, also known as a ''reciprocal'' * Reciprocal polynomial, a polynomial obtained from another pol ...
whose
repeating decimal A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero. It can be shown that a number is rational if a ...
expansion has a
digit sum In mathematics, the digit sum of a natural number in a given number base is the sum of all its digits. For example, the digit sum of the decimal number 9045 would be 9 + 0 + 4 + 5 = 18. Definition Let n be a natural number. We define the digit ...
of
666 666 may refer to: * 666 (number) * 666 BC, a year * AD 666, a year * The number of the beast, a reference in the Book of Revelation in the New Testament Places * 666 Desdemona, a minor planet in the asteroid belt * U.S. Route 666, an America ...
, which is the magic constant in a \tfrac prime reciprocal magic square equal to the sum of the first 36 non-zero
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 languag ...
s, or equivalently the 36th
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 i ...
. Furthermore, the sum between twin primes (149, 151) is
300 __NOTOC__ Year 300 ( CCC) was a leap year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Constantius and Valerius (or, less frequently, year 1053 ''Ab ...
, which in turn is the 24th triangular number.


In music

* The song 151 by Slick Shoes * The song Cell 151 from
Steve Hackett Stephen Richard Hackett (born 12 February 1950) is an English musician, singer, songwriter and record producer who gained prominence as the lead guitarist of the progressive rock band Genesis from 1971 to 1977. Hackett contributed to six Genesis ...
's ''
Highly Strung ''Highly Strung'' is the sixth studio album by English guitarist and songwriter Steve Hackett. "Cell 151" was a minor hit from the album, and charted in the UK. Added to Hackett's band was drummer Ian Mosley, who would join Marillion in 1984. ...
'' album * The song Psalm 151 by the
Polish Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles Poles,, ; singular masculine: ''Polak'', singular feminine: ''Polka'' or Polish people, are a West Slavic nation and ethnic group, w ...
band Kult * The song Oddfellows Local 151 by
R.E.M. R.E.M. was an American rock band from Athens, Georgia, formed in 1980 by drummer Bill Berry, guitarist Peter Buck, bassist Mike Mills, and lead vocalist Michael Stipe, who were students at the University of Georgia. One of the first alternati ...
of the album ''
Document A document is a written, drawn, presented, or memorialized representation of thought, often the manifestation of non-fictional, as well as fictional, content. The word originates from the Latin ''Documentum'', which denotes a "teaching" o ...
'' * The song "151" by Armando from '' A Bugged Out Mix'' * The song "151" by
Jedi Mind Tricks Jedi Mind Tricks (JMT) are an American underground hip hop group from Philadelphia, Pennsylvania, founded in 1996 by two high school friends, rapper Vinnie Paz (Vincenzo Luvineri) and producer Stoupe the Enemy of Mankind (Kevin Baldwin). In ...
* The song " 151 Rum (J.I.D song)" by
J.I.D Destin Choice Route (born October 31, 1990), better known by his stage name JID (also stylized J.I.D), is an American rapper. He is a part of the musical collective Spillage Village, founded by EarthGang in 2010, with Hollywood JB, JordxnBryant ...
* The song "Hyakugojyuuichi" (151 in Japanese), the original ending theme of the Pokemon anime


In sports

*The De La Salle High School football team's national-record 151-game winning streak from 1992 to 2004. *
UFC 151 ''UFC 151: Jones vs. Henderson'' was a planned mixed martial arts event that was to be held by the Ultimate Fighting Championship on September 1, 2012, at the Mandalay Bay Events Center in Las Vegas, Nevada. It was to be headlined by a UFC Light ...
was cancelled due to a
medial collateral ligament The medial collateral ligament (MCL), or tibial collateral ligament (TCL), is one of the four major ligaments of the knee. It is on the medial (inner) side of the knee joint in humans and other primates. Its primary function is to resist outwar ...
injury sustained by challenger
Dan Henderson Daniel Jeffery Henderson (born August 24, 1970) is an American retired mixed martial artist and Olympic wrestler, who last competed as a middleweight in the Ultimate Fighting Championship. He was the last Strikeforce Light Heavyweight Champi ...
who was scheduled to face champion
Jon Jones Jonathan Dwight Jones (born July 19, 1987) is an American professional mixed martial artist currently signed to the Ultimate Fighting Championship (UFC), in which he has competed in the light heavyweight division. He is a former two-time UFC L ...
. Jones declined to fight a new challenger on an 8-day notice. This became the first UFC event in history to have been completely cancelled.


In other fields

151 is also: * The year AD 151 or 151 BC * 151 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
759 __NOTOC__ Year 759 ( DCCLIX) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. The denomination 759 for this year has been used since the early medieval period, when the Anno Domini calendar era ...
760 __NOTOC__ Year 760 ( DCCLX) was a leap year starting on Tuesday (link will display the full calendar) of the Julian calendar. The denomination 760 for this year has been used since the early medieval period, when the Anno Domini calendar era b ...
CE * 151 is the name of a Manchester-based company that sells a variety of household products * The proof number of
Bacardi 151 Bacardi 151 is a discontinued brand of highly alcoholic rum made by Bacardi Limited of Hamilton, Bermuda. It is named for its alcohol concentration level of 151 U.S. proof, that is, 75.5% alcohol by volume. This is much higher than typical rum, ...
rum * The total number of Pokémon in
the first Generation ''The First Generation'' is a compilation album by British band Sigue Sigue Sputnik, released in 1990 (see 1990 in music). Track listing # "Rockit Miss USA (Black and Bluski)" - 6:57 # "Sex Bomb Boogie (Tick Tock and Boom!)" - 4:07 # "21st Cent ...
, counting
Mewtwo Mewtwo is a Pokémon, a fictional creature from Nintendo and Game Freak. Created by Ken Sugimori, it debuted in the video games ''Pokémon Red'' and ''Blue'', and later appeared in subsequent sequels and spin-off titles, such as '' Pokken Tour ...
and Mew * 151 Abundantia is a
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 * 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 an element temporarily called unquintunum *
Samarium-151 Naturally occurring samarium (62Sm) is composed of five stable isotopes, 144Sm, 149Sm, 150Sm, 152Sm and 154Sm, and two extremely long-lived radioisotopes, 147Sm (half life: 1.06 y) and 148Sm (7 y), with 152Sm being the most abundant (26. ...
is a
radioisotope A radionuclide (radioactive nuclide, radioisotope or radioactive isotope) is a nuclide that has excess nuclear energy, making it unstable. This excess energy can be used in one of three ways: emitted from the nucleus as gamma radiation; transferr ...
of
samarium Samarium is a chemical element with symbol Sm and atomic number 62. It is a moderately hard silvery metal that slowly oxidizes in air. Being a typical member of the lanthanide series, samarium usually has the oxidation state +3. Compounds of samar ...
* The IQ 151
personal computer A personal computer (PC) is a multi-purpose microcomputer whose size, capabilities, and price make it feasible for individual use. Personal computers are intended to be operated directly by an end user, rather than by a computer expert or tec ...
*
MG 151 cannon The MG 151 (MG 151/15) was a German 15 mm aircraft-mounted autocannon produced by Waffenfabrik Mauser during World War II. Its 20mm variant, the 20 mm MG 151/20 cannon, was widely used on German Luftwaffe fighters, night fighters, figh ...
was a 15 mm autocannon 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 vast majority of the world's countries—including all of the great powers—forming two opposing ...
*
Combined Task Force 151 Combined Task Force 151 (CTF-151) is a multinational naval task force, set up in 2009 as a response to piracy attacks in the Gulf of Aden and off the eastern coast of Somalia. Its mission is to disrupt piracy and armed robbery at sea and to enga ...
* Pan Am Flight 151 from
Accra, Ghana Accra (; tw, Nkran; dag, Ankara; gaa, Ga or ''Gaga'') is the capital and largest city of Ghana, located on the southern coast at the Gulf of Guinea, which is part of the Atlantic Ocean. As of 2021 census, the Accra Metropolitan District, , ...
, to
Monrovia, Liberia Monrovia () is the capital city of the West African country of Liberia. Founded in 1822, it is located on Cape Mesurado on the Atlantic coast and as of the 2008 census had 1,010,970 residents, home to 29% of Liberia’s total population. As th ...
crashed on June 22, 1951 * The 2.5 liter
GM Iron Duke engine The Iron Duke engine (also called 151, 2500, Pontiac 2.5, and Tech IV) is a Straight-4 piston engine built by the Pontiac Motor Division of General Motors from 1977 to 1993. Thereafter GM's 2.2 L OHV 4-cylinder replaced it across the ...
, also called the 151 * The human gene GPR151, or G protein-coupled receptor 151 *
Psalm 151 Psalm 151 is a short psalm found in most copies of the Septuagint (LXX), but not in the Masoretic Text of the Hebrew Bible. The title given to this psalm in the Septuagint indicates that it is supernumerary, as no number is affixed to it. The psal ...
* Sonnet 151


See also

*
List of highways numbered 151 Route 151, or Highway 151, may refer to: Canada * Prince Edward Island Route 151 Costa Rica * National Route 151 India * National Highway 151 (India) Ireland * R151 road (Ireland) Japan * Japan National Route 151 Korea, South * Seocheo ...
* United Nations Security Council Resolution 151 * United States Supreme Court cases, Volume 151


References

{{DEFAULTSORT:151 (Number) Integers