5

5 (five) is a number, numeral and digit. It is the natural number, and cardinal number, following 4 and preceding 6, and is a prime number. It has attained significance throughout history in part because typical humans have five digits on each hand.

4 5 6
−1 0 1 2 3 4 5 6 7 8 9
0 10 20 30 40 50 60 70 80 90
Cardinalfive
Ordinal5th
(fifth)
Numeral systemquinary
Factorizationprime
Prime3rd
Divisors1,5
Greek numeralΕ´
Roman numeralV, v
Greek prefixpenta-/pent-
Latin prefixquinque-/quinqu-/quint-
Binary1012
Ternary123
Senary56
Octal58
Duodecimal512
Hexadecimal516
Greekε (or Ε)
Arabic, Kurdish٥
Persian, Sindhi, Urdu۵
Ge'ez
Bengali
Kannada
Punjabi
Chinese numeral五,伍
Korean numerals다섯,오
Devanāgarī
Hebrewה
Khmer
Telugu
Malayalam
Tamil
Thai

In mathematics

is the third smallest prime number, and the second super-prime.[1] It is the first safe prime, the first good prime, and the first of three known Wilson primes.[2] Five is the second Fermat prime[1] and the third Mersenne prime exponent,[3] as well as the third Catalan number,[4] and the third Sophie Germain prime.[1] 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 primes, (3, 5) and (5, 7). It is also a sexy prime with the fifth prime number and first prime repunit, 11. Five is the third factorial prime, an alternating factorial,[5] and an Eisenstein prime with no imaginary part and real part of the form .[1] Five is the second square pyramidal number, and in particular, the first congruent number, since 5 is the length of the hypotenuse of the smallest integer-sided right triangle.[6]

Five is the second Fermat prime of the form + , and more generally the second Sierpiński number of the first kind, + .[7] There are a total of five known Fermat primes, which also include 3, 17, 257, and 65537.[8] 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 number of sides that can be construncted purely with a compass and straight-edge, which includes the regular pentagon. Figurate numbers representing pentagons are called pentagonal numbers.

The number 5 is the fifth Fibonacci number, being 2 plus 3.[1] 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), (5, 29, 433), ... (OEIS: A030452 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 numbers.[9]

5 is the third Mersenne prime exponent of the form , which yields 31, in-turn the third exponent of one of only four known double Mersenne primes, 2,147,483,647. A fifth candidate double Mersenne prime is = 223058...93951 − 1, which is too large to compute with current computers. In a related sequence, the first 5 terms in the sequence of Catalan–Mersenne numbers are the only known prime terms. A sixth possible candidate ~ 101037.7094 is also too large to compute for the time being. Double Mersenne primes as well as the Catalan-Mersenne primes are conjectured to be prime up to a certain limit.

Five is conjectured to be the only odd untouchable number,[10] and if this is the case then five will be the only odd prime number that is not the base of an aliquot tree.

5 is the value of the central cell of all 8 equivalent order-3 normal magic squares,[11] and of the only non-trivial (order-3) normal magic hexagon that is made of 19 cells.[12]

While polynomial equations of degree 4 and below can be solved with radicals, 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 is a solvable group for n ≤ 4 and not solvable for n ≥ 5.

The sums of the first non-primes greater than zero + + + + and the first prime numbers + + + + both equal ; the triangular number and like a perfect number, which also includes , the triangular number and perfect number of the form −1() with a of , by the Euclid–Euler theorem.[13][14][15]

There are five known unitary perfect numbers. A sixth unitary number, if discovered, would have at least nine odd prime factors.[16]

A pentagram is a five-pointed polygram, and the first proper star polygon, constructed from the diagonals of a regular pentagon as self-intersecting edges that are proportioned in golden ratio, . Its internal geometry appears prominently in Penrose tilings, and is a facet inside Kepler-Poinsot star polyhedra and Schläfli–Hess star polychora, represented by its Schläfli symbol {5/2}. A similar figure to the pentagram is a five-pointed simple isotoxal star ☆ without self-intersecting edges. In general, star polytopes that are regular only exist in dimensions 2 ≤ < 5.

Euler's identity, + = , contains five essential numbers used widely in mathematics: Archimedes' constant , Euler's number , the imaginary number , unity , and zero , which makes this formula one of the most renown examples of mathematical beauty.

While all graphs with 4 or fewer vertices are planar, there exists a graph with 5 vertices which is not planar: K5, the complete graph with 5 vertices, where every pair of distinct vertices in a pentagon is joined by unique edges belonging to a pentagram.[17] 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, a girth of 5, and a Thue number of 5.[18][19] The Petersen graph, which is also a distance-regular graph, is one of only 5 known connected vertex-transitive graphs with no Hamiltonian cycles.[20] The automorphism group of the Petersen graph is the symmetric group , of order 120 = 5!.

There are five Platonic solids,[21] five regular uniform polyhedron compounds,[22] and five regular abstract polyhedra.[23] There are also five space-filling convex polyhedra,[24] and five cell-transitive space-filling parallelohedra.[25]

The 5-cell, or pentatope, is the fourth-dimensional analogue of the tetrahedron, with Coxeter group symmetry = 120 = 5! and group structure, as with the Petersen graph. Its Petrie polygon is a regular pentagon, and its orthogonal projection is equivalent to the complete graph K5. It is one of six regular 4-polytopes, made of 31 elements: 5 vertices, 10 edges, 10 faces, 5 tetrahedral cells and 1 4-face. 120 5-cells fit inside a 120-cell, the dual polychoron to the 600-cell, both regular 4-polytopes. Also, 5 24-cells fit inside a small stellated 120-cell, the first stellation 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 nonconvex duoantiprismatic solution in the fourth dimension, constructed from the polytope cartesian product {5}⊗{5/3} and made of 10 pentagrammic crossed antiprisms, 50 tetrahedra, and 10 pentagonal antiprisms. On the other hand, the 5-simplex is the five-dimensional analogue of the 5-cell, or 4-simplex; the fifth iteration of -simplexes in any dimensions. The 5-simplex has the Coxeter group as its symmetry group, of order 720 = 6!, whose group structure is represented by the symmetric group , the only finite symmetric group which has an outer automorphism.

Analogues of three-dimensional icosahedral symmetry (or two-dimensional pentagonal dihedral symmetry, and four-dimensional symmetry) do not exist in dimensions n ≥ 5. However, there is the uniform polychoral prismatic group × in the fifth dimension which contains prisms of regular and uniform 4-polytopes that have symmetry.

The highest dimension for compact hyperbolic honeycombs is the fifth dimension, with paracompact hyperbolic solutions existing up through 10-space. In the fifth dimension, there are five regular paracompact honeycombs, all with infinite facets and vertex figures.[26]

The five Mathieu groups constitute the first generation in the happy family of sporadic groups. These are also the first five sporadic groups to have been described, defined as multiply transitive permutation groups on objects, with ∈ {11, 12, 22, 23, 24}. In particular, , the smallest of all sporadic groups, has a rank 3 action on 55 points from an induced action on unordered pairs, as well as two five-dimensional faithful complex irreducible representations over the field with 3 elements, which is the lowest irreducible dimensional representation of all sporadic group over their respective fields with n elements.[27] Of precisely 5 different conjugacy classes of maximal subgroups of , one is the almost simple symmetric group (of order 5!), and another is , also almost simple, that functions as a point stabilizer which has 5 as its largest prime factor in its group order: 24·32·5 = 2·3·4·5·6 = 8·9·10 = 720. On the other hand, whereas is sharply 4-transitive, is sharply 5-transitive and is 5-transitive, and as such they are the only two 5-transitive groups that are not symmetric groups or alternating groups. 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 5 sporadic groups with 5 distinct prime factors in their order. All Mathieu groups are subgroups of , which under the Witt design of Steiner system S(5, 8, 24) emerges a construction of the extended binary Golay code that has as its automorphism group. generates octads from code words of Hamming weight 8 from the extended binary Golay code, one of 5 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 subquotients of the automorphism of the Leech lattice, Conway group .

There are five solvable groups that are excluded from finite simple groups of Lie type, and more importantly, five exceptional Lie groups: , , , , and .

There are five non-supersingular primes: 37, 43, 53, 61, and 67, all smaller than the largest supersingular prime divisor of the friendly giant, 71.[28] All primes greater than 71 are non-supersingular.

List of basic calculations

Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
5 × x 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
5 ÷ x 5 2.5 1.6 1.25 1 0.83 0.714285 0.625 0.5 0.5 0.45 0.416 0.384615 0.3571428 0.3
x ÷ 5 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 2.2 2.4 2.6 2.8 3
Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
5x 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125 6103515625 30517578125
x5 1 32 243 1024 3125 7776 16807 32768 59049 100000 161051 248832 371293 537824 759375

In decimal

5 is the only prime number to end in the digit 5 in decimal because all other numbers written with a 5 in the ones place are multiples of five, which makes it a 1-automorphic number. All multiples of 5 will end in either 5 or 0, and vulgar fractions with 5 or 2 in the denominator do not yield infinite decimal expansions because they are prime factors of 10, the base. In the powers of 5, every power ends with the number five, and from 53 onward, if the exponent is odd, then the hundreds digit is 1, and if it is even, the hundreds digit is 6. A number raised to the fifth power always ends in the same digit as .

Evolution of the Arabic digit

The evolution of the modern Western digit for the numeral 5 cannot be traced back to the Indian system, as for the digits 1 to 4. The Kushana and Gupta empires in what is now India had among themselves several different forms that bear no resemblance to the modern digit. The Nagari and Punjabi 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.[29] 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 typefaces, in typefaces with text figures the glyph usually has a descender, as, for example, in .

On the seven-segment display 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

Astronomy

Biology

Computing

  • 5 is the ASCII code of the Enquiry character, which is abbreviated to ENQ.[38]

Religion and culture

Hinduism

  • The god Shiva has five faces[39] and his mantra is also called panchakshari (five-worded) mantra.
  • The goddess Saraswati, goddess of knowledge and intellectual is associated with panchami or the number 5.
  • There are five elements in the universe according to Hindu cosmology: dharti, agni, jal, vayu evam akash (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 revolves around the battle between Duryodhana and his 99 other brothers and the 5 pandava princes—Dharma, Arjuna, Bhima, Nakula and Sahadeva.

Christianity

Gnosticism

  • The number five was an important symbolic number in Manichaeism, with heavenly beings, concepts, and others often grouped in sets of five.
  • Five Seals in Sethianism
  • Five Trees in the Gospel of Thomas

Islam

Judaism

  • The Torah contains five books—Genesis, Exodus, Leviticus, Numbers, and Deuteronomy—which are collectively called the Five Books of Moses, the Pentateuch (Greek for "five containers", referring to the scroll cases in which the books were kept), or Humash (חומש, Hebrew for "fifth").[44]
  • The book of Psalms is arranged into five books, paralleling the Five Books of Moses.[45]
  • The Khamsa, 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 Arabic culture, known to protect from envy and the evil eye.[46]

Sikhism

  • The five sacred Sikh symbols prescribed by Guru Gobind Singh are commonly known as panj kakars or the "Five Ks" because they start with letter K representing kakka (ਕ) in the Punjabi language's Gurmukhi script. They are: kesh (unshorn hair), kangha (the comb), kara (the steel bracelet), kachhehra (the soldier's shorts), and kirpan (the sword) (in Gurmukhi: ਕੇਸ, ਕੰਘਾ, ਕੜਾ, ਕਛਹਰਾ, ਕਿਰਪਾਨ).[47] Also, there are five deadly evils: kam (lust), krodh (anger), moh (attachment), lobh (greed), and ankhar (ego).

Daoism

Other religions and cultures

  • According to ancient Greek philosophers such as Aristotle, the universe is made up of five classical elements: water, earth, air, fire, and ether. This concept was later adopted by medieval alchemists and more recently by practitioners of Neo-Pagan religions such as Wicca.
  • The pentagram, or five-pointed star, bears religious significance in various faiths including Baháʼí, Christianity, Freemasonry, Satanism, Taoism, Thelema, and Wicca.
  • In Cantonese, "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 Asian tradition, there are five elements: (water, fire, earth, wood, and metal).[50] The Japanese names for the days of the week, Tuesday through Saturday, come from these elements via the identification of the elements with the five planets visible with the naked eye.[51] 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, 5 or a series of 555, is often associated with change, evolution, love and abundance.
  • Members of The Nation of Gods and Earths, a primarily African American religious organization, call themselves the "Five-Percenters" because they believe that only 5% of mankind is truly enlightened.[52]

Art, entertainment, and media

Fictional entities

  • James the Red Engine, a fictional character numbered 5.[53]
  • Johnny 5 is the lead character in the film Short Circuit (1986)[54]
  • Number Five is a character in Lorien Legacies[55]
  • Sankara Stones, five magical rocks in Indiana Jones and the Temple of Doom that are sought by the Thuggees for evil purposes[56]
  • The Mach Five Mahha-gō? (マッハ号), the racing car Speed Racer (Go Mifune 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, five wizards (Saruman, Gandalf, Radagast, Alatar and Pallando) are sent to Middle-earth to aid against the threat of the Dark Lord Sauron[57]
  • In the A Song of Ice and Fire 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 and Balon Greyjoy)[58]
  • In The Wheel of Time 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, Perrin Aybara, Egwene al'Vere and Nynaeve al'Meara)
  • Myst uses the number 5 as a unique base counting system. In The Myst Reader 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[59]

Films

Groups

  • Five (group), a UK Boy band[64]
  • The Five (composers), 19th-century Russian composers[65]
  • 5 Seconds of Summer, pop band that originated in Sydney, Australia
  • Five Americans, American rock band active 1965–1969[66]
  • 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[67]
  • Maroon 5, American pop rock band that originated in Los Angeles, California[68]
  • MC5, American punk rock band[69]
  • Pentatonix, a Grammy-winning a cappella group originated in Arlington, Texas[70]
  • The 5th Dimension, American pop vocal group, active 1977–present[71]
  • The Dave Clark Five, a.k.a. DC5, an English pop rock group comprising Dave Clark, Lenny Davidson, Rick Huxley, Denis Payton, and Mike Smith; active 1958–1970[72]
  • 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[73]
  • 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[74]
  • Fifth Harmony, an American girl group.[75]
  • Ben Folds Five, an American alternative rock trio, 1993–2000, 2008 and 2011–2013[76]
  • R5 (band), an American pop and alternative rock group, 2009–2018[77]

Other uses

  • A perfect fifth is the most consonant harmony, and is the basis for most western tuning systems.[78]
  • Modern musical notation uses a musical staff made of five horizontal lines.[79]
  • In harmonics – the fifth partial (or 4th overtone) of a fundamental 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 triad chord when played in just intonation (most often the case in a cappella vocal ensemble singing), will contain such a pure major third.
  • The number of completed, numbered piano concertos of Ludwig van Beethoven, Sergei Prokofiev, and Camille Saint-Saëns.
  • Using the Latin root, five musicians are called a quintet.[80]
  • A scale with five notes per octave is called a pentatonic scale.[81]
  • Five is the lowest possible number that can be the top number of a time signature with an asymmetric meter.

Television

Stations
  • Channel 5 (UK), a television channel that broadcasts in the United Kingdom[82]
  • 5 (TV channel) (formerly known as ABC 5 and TV5) (DWET-TV channel 5 In Metro Manila) a television network in the Philippines.[83]
Series
  • Babylon 5, a science fiction television series[84]
  • The number 5 features in the television series Battlestar Galactica in regards to the Final Five cylons and the Temple of Five
  • Hi-5 (Australian TV series), a television series from Australia[85]
  • 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[86]
  • Tillbaka till Vintergatan, 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 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!
  • 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.[87]

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 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 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[88]

Sports

  • The Olympic Games have five interlocked rings as their symbol, representing the number of inhabited continents represented by the Olympians (Europe, Asia, Africa, Australia and Oceania, and the Americas).[89]
  • In AFL Women's, the top level of women's Australian rules football, each team is allowed 5 "interchanges" (substitute players), who can be freely substituted at any time.
  • In baseball scorekeeping, the number 5 represents the third baseman's position.
  • In basketball:
    • 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.[90]
    • 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 (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 in which each team fields five players.[91]
  • In ice hockey:
    • A major penalty lasts five minutes.[92]
    • 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).[93]
    • The area between the goaltender's legs is known as the five-hole.[94]
  • In most rugby league competitions, the starting left wing wears this number. An exception is the Super League, which uses static squad numbering.
  • In rugby union:
    • A try is worth 5 points.[95]
    • 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 as a resin identification code, used in recycling.
  • 5 is the most common number of gears for automobiles with manual transmission.[96]
  • In radio communication, the term "Five by five" is used to indicate perfect signal strength and clarity.[97]
  • 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 has the raised dot or bar, but the 5 key that shifts with % does not).[98]
  • On most telephones, the 5 key is associated with the letters J, K, and L,[99] but on some of the BlackBerry phones, it is the key for G and H.
  • The Pentium, coined by Intel Corporation, is a fifth-generation x86 architecture microprocessor.[100]
  • The resin identification code used in recycling to identify polypropylene.[101]

Miscellaneous fields

St. Petersburg Metro, Line 5
The fives of all four suits in playing cards

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 quintuplets. The most famous set of quintuplets were the Dionne quintuplets born in the 1930s.[102]
  • 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.[103]
  • Pentameter is verse with five repeating feet per line; iambic pentameter was the most popular form in Shakespeare.[104]
  • Quintessence, meaning "fifth element", refers to the elusive fifth element that completes the basic four elements (water, fire, air, and earth)[105]
  • The designation of an Interstate Highway (Interstate 5) that runs from San Diego, California to Blaine, Washington.[106] In addition, all major north-south Interstate Highways in the United States end in 5.[107]
  • 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 Law of Fives.[108]
  • The number of Justices on the Supreme Court of the United States necessary to render a majority decision.[109]
  • The number of dots in a quincunx.[110]
  • The number of permanent members with veto power on the United Nations Security Council.[111]
  • The number of sides and the number of angles in a pentagon.[112]
  • The number of points in a pentagram.[113]
  • The number of Korotkoff sounds when measuring blood pressure[114]
  • The drink Five Alive is named for its five ingredients. The drink punch derives its name after the Sanskrit पञ्च (pañc) for having five ingredients.[115]
  • The Keating Five were five United States Senators accused of corruption in 1989.[116]
  • The Inferior Five: Merryman, Awkwardman, The Blimp, White Feather, and Dumb Bunny. DC Comics parody superhero team.[117]
  • No. 5 is the name of the iconic fragrance created by Coco Chanel.[118]
  • The Committee of Five was delegated to draft the United States Declaration of Independence.[119]
  • The five-second rule is a commonly used rule of thumb for dropped food.[120]
  • 555 95472, usually referred to simply as 5, is a minor male character in the comic strip Peanuts.[121]

See also

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

References

  1. Weisstein, Eric W. "5". mathworld.wolfram.com. Retrieved 2020-07-30.
  2. Sloane, N. J. A. (ed.). "Sequence A028388 (Good primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
  3. Weisstein, Eric W. "Mersenne Prime". mathworld.wolfram.com. Retrieved 2020-07-30.
  4. Weisstein, Eric W. "Catalan Number". mathworld.wolfram.com. Retrieved 2020-07-30.
  5. Weisstein, Eric W. "Twin Primes". mathworld.wolfram.com. Retrieved 2020-07-30.
  6. Sloane, N. J. A. (ed.). "Sequence A003273 (Congruent numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-01.
  7. Weisstein, Eric W. "Sierpiński Number of the First Kind". mathworld.wolfram.com. Retrieved 2020-07-30.
  8. Sloane, N. J. A. (ed.). "Sequence A019434 (Fermat primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-07-21.
  9. Weisstein, Eric W. "Perrin Sequence". mathworld.wolfram.com. Retrieved 2020-07-30.
  10. Pomerance, Carl. "On Untouchable Numbers and Related Problems" (PDF). Dartmouth College.
  11. William H. Richardson. "Magic Squares of Order 3". Wichita State University Dept. of Mathematics. Retrieved 2022-07-14.
  12. Trigg, C. W. (February 1964). "A Unique Magic Hexagon". Recreational Mathematics Magazine. Retrieved 2022-07-14.
  13. Bourcereau (2015-08-19). "28". Prime Curios!. PrimePages. Retrieved 2022-10-13. The only known number which can be expressed as the sum of the first non-negative integers (1 + 2 + 3 + 4 + 5 + 6 + 7), the first primes (2 + 3 + 5 + 7 + 11) and the first non-primes (1 + 4 + 6 + 8 + 9). There is probably no other number with this property.
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  53. Allcroft, Britt; Friends, Thomas &; Awdry, W. (2014). James the Splendid Red Engine. Egmont UK Limited. ISBN 978-1-4052-7506-4. Meet Sodor's number 5 engine
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  56. Windham, Ryder (2008). Indiana Jones Collector's Edition. Scholastic. p. 298. ISBN 978-0-545-09183-1. he gave him the five sacred stones with magical properties
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  111. Hargrove, Julia (2000-03-01). John F. Kennedy's Inaugural Address. Lorenz Educational Press. p. 24. ISBN 978-1-57310-222-3. The five permanent members have a veto power over actions proposed by members of the United Nations.
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  113. Hand, Seven Star (2010-09-17). Finishing the Mysteries of Gods and Symbols: Volume 0. Seven Star Hand. p. 90. ISBN 978-1-257-93419-5. ...the pentacle as a five-pointed star (pentagram) ...
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