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This article discusses the number five. For the year 5 AD, see 5. Year 5 ( V) was a Common year starting on Thursday (link will display the full calendar of the Julian calendar. For other uses of 5, see 5 (disambiguation). 5 or five may refer to 5 (number, a number numeral and glyph 5 AD, the year 5 AD 5 BC, the year
5

0 1 2 3 4 5 6 7 8 9 →

0 10 20 30 40 50 60 70 80 90 →
Cardinal 5
five
Ordinal 5th
fifth
Numeral system quinary
Factorization prime
Divisors 1, 5
Roman numeral V
Roman numeral (Unicode) Ⅴ, ⅴ
Arabic ٥
Arabic (Urdu) ۵
Ge'ez ፭
Bengali ৫
Chinese numeral 五
Devanāgarī ५
Hebrew ה (He)
Khmer ៥
Thai ๕
prefixes penta-/pent- (from Greek)

quinque-/quinqu-/quint- (from Latin)
Binary 101
Octal 5
Duodecimal 5
Hexadecimal 5
Vigesimal 5

5 (five) is a number, numeral, and glyph. Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime In mathematics Four is the smallest Composite number, its proper Divisors being and. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3. In mathematics Seven is the fourth Prime number. It is not only a Mersenne prime (since 23 &minus 1 = 7 but also a In mathematics 8 is a Composite number, its Proper divisors being 1, 2, and 4. In mathematics Nine is a Composite number, its proper Divisors being 1 and 3. This is a list of articles about Numbers ( not about Numerals. The integers (from the Latin integer, literally "untouched" hence "whole" the word entire comes from the same origin but via French "Twenty" redirects here For the village in England, see Twenty Lincolnshire. 30 ( thirty) is the Natural number following 29 and preceding 31. 40 ( forty) is the Natural number following 39 and preceding 41. This article discusses the number fifty. For the year 50 CE see 50. 60 ( sixty) is the Natural number following 59 and preceding 61. 70 ( seventy) is the Natural number following 69 and preceding 71. 80 ( eighty) is the Natural number following 79 and preceding 81. 90 ( ninety) is the Natural number preceded by 89 and followed by 91. This article describes cardinal numbers in mathematics For cardinals in linguistics see Names of numbers in English. In linguistics ordinal numbers are the words representing the rank of a number with respect to some order in particular order or position (i A numeral system (or system of numeration) is a Mathematical notation for representing numbers of a given set by symbols in a consistent manner Quinary ( base -) is a Numeral system with five as the base This originates from the five Fingers on either Hand. In Mathematics, factorization ( also factorisation in British English) or factoring is the decomposition of an object (for In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 In Mathematics, a divisor of an Integer n, also called a factor of n, is an integer which evenly divides n without Roman numerals are a Numeral system originating in ancient Rome, adapted from Etruscan numerals. Arabic (ar الْعَرَبيّة (informally ar عَرَبيْ) in terms of the number of speakers is the largest living member of the Semitic language Urdu ( ur '''{{Nastaliq اردو}}''' trans Urdū, historically spelled Ordu) is a Central Indo-Aryan language Urdu is a standardised Ge'ez (gez ግዕዝ) also called Ethiopic, is an Abugida script that was originally developed to write Ge'ez, a Semitic language Chinese numerals are characters for writing Numbers in Chinese. Khmer numerals are the numerals used in the Khmer language of Cambodia. Thai numerals (เลขไทย are a set of numerals traditionally used in Thailand, although the Arabic numerals are more common Numerical prefixes are usually derived from the words for numbers in various languages most commonly Greek and Latin, although this is not always the case Greek (el ελληνική γλώσσα or simply el ελληνικά — "Hellenic" is an Indo-European language, spoken today by 15-22 million people mainly Latin ( lingua Latīna, laˈtiːna is an Italic language, historically spoken in Latium and Ancient Rome. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. In Mathematics and Computer science, hexadecimal (also base -, hexa, or hex) is a Numeral system with a The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten A number is an Abstract object, tokens of which are Symbols used in Counting and measuring. A glyph is an element of writing Two or more glyphs representing the same symbol whether interchangeable or context-dependent are called Allographs the abstract unit they It is the natural number following 4 and preceding 6. In Mathematics, a natural number (also called counting number) can mean either an element of the set (the positive Integers or an In mathematics Four is the smallest Composite number, its proper Divisors being and. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3.

Contents

Mathematics

Five is between 4 and 6 and is the third prime number, after 2 and 3, and before 7. In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime In mathematics Seven is the fourth Prime number. It is not only a Mersenne prime (since 23 &minus 1 = 7 but also a Because it can be written as 2^(2^1)+1, five is classified as a Fermat prime. In Mathematics, a Fermat number, named after Pierre de Fermat who first studied them is a positive integer of the form F_{n} = 2^{2^{ 5 is the third Sophie Germain prime, the first safe prime, and the third Mersenne prime exponent. In Number theory, a Prime number p is a Sophie Germain prime if 2 p  + 1 is also prime A safe prime is a Prime number of the form 2 p + 1 where p is also a prime In Mathematics, a Mersenne number is a positive integer that is one less than a Power of two: M_n=2^n-1 Five is the first Wilson prime and the third factorial prime, also an alternating factorial. A Wilson prime is a Prime number p such that p ² divides ( p &minus 1! + 1 where "!" denotes the Factorial function; compare A factorial prime is a Prime number that is one less or one more than a Factorial (all factorials above 1 are even In Mathematics, an alternating factorial is the Absolute value of the Alternating sum of the first n Factorials This is the same It is an Eisenstein prime with no imaginary part and real part of the form 3n − 1. In Mathematics, an Eisenstein prime is an Eisenstein integer z = a + b\\omega\qquad(\omega = e^{2\pi i/3} that is irreducible It is also the only number that is part of more than one pair of twin primes. A twin prime is a Prime number that differs from another prime number by Two.

Five is conjectured to be the only odd untouchable number. An untouchable number is a positive Integer that cannot be expressed as the Sum of all the Proper divisors of any positive integer (including the untouchable

The number 5 is the 5th Fibonacci number, being 2 plus 3. In Mathematics, the Fibonacci numbers are a Sequence of numbers named after Leonardo of Pisa, known as Fibonacci In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime 5 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), . In Mathematics, the Pell numbers and companion Pell numbers (Pell-Lucas numbers are both sequences of Integers that have been known since ancient A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equation . . (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. In Mathematics, the Perrin numbers are defined by the Recurrence relation P (0 = 3 P (1 = 0 P (2 = 2

5 and 6 form a Ruth-Aaron pair under either definition. In Mathematics, a Ruth-Aaron pair consists of two Consecutive integers (e

There are five solutions to Znám's problem of length 6. In Number theory, Znám's problem asks which sets of k integers have the property that each integer in the set is a Proper divisor of the product of the

Five is the second Sierpinski number of the first kind, and can be written as S2=(2^2)+1

While polynomial equations of degree 4 and below can be solved with radicals, equations of degree 5 and higher cannot generally be so solved. Wacław Franciszek Sierpiński ( March 14 1882 — October 21 1969) (ˈvaʦwaf fraɲˈʨiʂɛk ɕɛrˈpʲiɲskʲi a Polish Mathematician In Mathematics, a polynomial is an expression constructed from Variables (also known as indeterminates and Constants using the operations In mathematics Four is the smallest Composite number, its proper Divisors being and. This is the Abel-Ruffini theorem. The Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no general solution in radicals to Polynomial equations of This is related to the fact that the symmetric group Sn is a solvable group for n ≤ 4 and not solvable for n ≥ 5. In Mathematics, the symmetric group on a set X, denoted by S X or Sym( X) is the group whose underlying In the history of Mathematics, the origins of Group theory lie in the search for a proof of the general unsolvability of Quintic and higher equations finally

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. In Mathematics and Computer science, graph theory is the study of graphs: mathematical structures used to model pairwise relations between objects Kuratowski's and Wagner's theorems The Polish mathematician Kazimierz Kuratowski provided a characterization of planar graphs in terms of Forbidden In the mathematical field of Graph theory, a complete graph is a Simple graph in which every pair of distinct vertices is connected by an

Five is also the number of Platonic solids. In Geometry, a Platonic solid is a convex Regular polyhedron.

A polygon with five sides is a pentagon. In Geometry a polygon (ˈpɒlɨɡɒn ˈpɒliɡɒn is traditionally a plane figure that is bounded by a closed path or circuit Regular pentagons The term pentagon is commonly used to mean a regular convex pentagon, where all sides are equal and all interior angles are equal (to Figurate numbers representing pentagons (including five) are called pentagonal numbers. A figurate number is a number that can be represented as a regular and discrete geometric pattern (e A pentagonal number is a Figurate number that extends the concept of triangular and Square numbers to the Pentagon, but unlike the first Five is also a square pyramidal number. In Mathematics, a pyramid number, or square pyramidal number, is a Figurate number that represents a Pyramid with a base and four sides

Five is the only prime number to end in the digit 5, because all other numbers written with a 5 in the ones-place under the decimal system are multiples of five. As a consequence of this, 5 is in base 10 a 1-automorphic number. In Mathematics an automorphic number (sometimes referred to as a circular number) is a Number whose square "ends" in the number itself

Vulgar fractions with 5 or 2 in the denominator do not yield infinite decimal expansions, as is the case with most primes, because they are prime factors of ten, the base. In Mathematics, a fraction (from the Latin fractus, broken is a concept of a proportional relation between an object part and the object In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 The decimal ( base ten or occasionally denary) Numeral system has ten as its base. When written in the decimal system, all multiples of 5 will end in either 5 or 0.

There are five Exceptional Lie groups. In Mathematics, a simple Lie group is a connected non-abelian Lie group G which does not have nontrivial connected Normal subgroups

The number of terminal zeros in any number of numbers multiplied together will typically equal the number of 5's found in the prime factorization of the numbers. This means that multiplying the first 100 integers together will result in a number with 24 terminal zeros

Five is the only number for which the following identity holds: \sum_{i=1}^{5} \frac{1}{i} + \sum_{i=0}^{5} \frac{1}{i!} = 5


Numbering systems

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 21 22 23 24 25 50 100 1000
5 \times x 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100 105 110 115 120 125 250 500 5000
Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
5 \div x 5 2. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. 25 ( twenty-five) is the Natural number following 24 and preceding 26. 30 ( thirty) is the Natural number following 29 and preceding 31. 35 ( thirty-five) is the Natural number following 34 and preceding 36. 40 ( forty) is the Natural number following 39 and preceding 41. 45 ( forty-five) is the Natural number following 44 and followed by 46. This article discusses the number fifty. For the year 50 CE see 50. 55 ( fifty-five) is the Natural number following 54 and preceding 56. 60 ( sixty) is the Natural number following 59 and preceding 61. 65 ( sixty-five) is the Natural number following 64 and preceding 66. 70 ( seventy) is the Natural number following 69 and preceding 71. 75 ( seventy-five) is the Natural number following 74 and preceding 76. 80 ( eighty) is the Natural number following 79 and preceding 81. 85 ( eighty-five) is the Natural number following 84 and preceding 86. 90 ( ninety) is the Natural number preceded by 89 and followed by 91. 95 ( ninety-five) is the Natural number following 94 and preceding 96. 250 is the Natural number following 249 and preceding 251. Other numbers from 251 to 259 Two hundred fifty-one 251 prime 500 ( five hundred) is the Natural number following 499 and preceding 501. 5000 ( five thousand) is the Natural number following 4999 and preceding 5001 In Mathematics, especially in elementary Arithmetic, division is an arithmetic operation which is the inverse of Multiplication. 5 1.\overline{6} 1. Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity 25 1 0.8\overline{3} 0.\overline{7}1428\overline{5} 0. 625 0.\overline{5} 0. 5 0.\overline{4}\overline{5} 0.41\overline{6} 0.\overline{3}8461\overline{5} 0.3\overline{5}7142\overline{8} 0.\overline{3}
x \div 5 0. 2 0. 4 0. 6 0. 8 1 1. In mathematics 8 is a Composite number, its Proper divisors being 1, 2, and 4. 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
5 ^ x\, 5 25 125 625 3125 15625 78125 390625 1953125 9765625 48828125 244140625 1220703125
x ^ 5\, 1 32 243 1024 3125 7776 16807 32768 59049 100000 161051 248832 371293

Evolution of the glyph

Image:Evolution5glyph.png

The evolution of our modern glyph for five cannot be neatly traced back to the Brahmin Indians quite the same way it can for 1 to 4. 32 ( thirty-two) is the Natural number following 31 and preceding 33. 243 ( two hundred forty-three) is the Natural number following 242 and preceding 244. Later on the Kushana and Gupta Indians had among themselves several different glyphs which bear no resemblance to the modern glyph. The Nagari and Punjabi took these glyphs and all came up with glyphs that look like a lowercase "h" rotated 180°. The Ghubar Arabs transformed the glyph in several different ways, coming up with glyphs that look more like 4s or 3s than 5s. [1] It was from those characters that the Europeans finally came up with the modern 5, though from purely graphical evidence, it would be much easier to conclude that our modern 5 came from the Khmer. Khmer numerals are the numerals used in the Khmer language of Cambodia.

While the shape of the 5 character has an ascender in most modern typefaces, in typefaces with text figures the character usually has a descender, as, for example, in Image:TextFigs256.png. Typography, an ascender is the portion of a letter in a Latin-derived alphabet that extends above the Mean line of a font. In Typography, a typeface is a set of one or more Fonts designed with stylistic unity each comprising a coordinated set of Glyphs A typeface usually comprises Text figures (also known as non-lining, lowercase, old-style, ranging or hanging figures or numerals are numerals Typography, a descender is the portion of a letter in a Latin alphabet that extends below the baseline of a font.

Science

Astronomy

Religion and culture

Music

Sports

Jason Kidd wore the number five on his jersey while playing in the NBA.
Jason Kidd wore the number five on his jersey while playing in the NBA. Jason Frederick Kidd (born March 23 1973 is an American professional Basketball player in the NBA who currently plays for the Dallas Mavericks.

Technology

5 as a resin identification code, used in recycling.

Miscellaneous fields

International maritime signal flag for 5
International maritime signal flag for 5
The fives of all four suits in playing cards
The fives of all four suits in playing cards
See also: 5 (disambiguation)

Five is:

References

  1. ^ Georges Ifrah, The Universal History of Numbers: From Prehistory to the Invention of the Computer transl. David Bellos et al. London: The Harvill Press (1998): 394, Fig. 24. 65
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