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In mathematics, a prime number, or prime for short, is a natural number whose only distinct positive divisors are 1 and itself; otherwise it is called a composite number. Hence a prime number has exactly two divisors. The number 1 is neither prime nor composite; note that 1 has only one divisor; a factor of 1 is of no interest in any product. The property of being a prime is called primality. Prime numbers are of fundamental importance in number theory.The sequence of prime numbers begins
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37Integers 37 is the natural number following 36 and preceding 38. Cardinalthirty-seven Ordinal37th (thirty-seventh) Factorization prime Roman numeralXXXVII Binary0100101 Hexadecimal25 In mathematics It is a prime number, the first irregular prime, a unique, 41Integers 41 is the natural number following 40 and preceding 42. Cardinal forty-one Ordinal41st(forty-first) Factorization''prime Roman numeralXLI Binary101001 Hexadecimal29 Forty-one is the 13th smallest prime number. The next is forty-three, with which, 43Integers 43 is the natural number following 42 and preceding 44. Cardinal forty-three Ordinal43rd (forty-third) Factorization''prime Roman numeralXLIII Binary101011 Hexadecimal2B In mathematics Forty-three is the 14th smallest prime number. The previous i, 47This article discusses the number Four . Four is also the name of a French commune, Four, Isere. 4 four is the natural number following 3 and preceding 5. Prefixes for 4 include tetra- ( Greek) and quad- ( Latin). Evolution of the glyph Representing 1, 2, 53Integers 53 is the natural number following 52 and preceding 54. Cardinal fifty-three Ordinal53rd (fiftieth) Factorization''prime Roman numeralLIII Binary110101 Hexadecimal35 In mathematics Fifty-three is the 16th smallest prime number. The next is fifty-, 59Integers 59 is the natural number following 58 and preceding 60. Cardinalfifty-nine Ordinal59th (fifty-ninth) Factorization''prime Roman numeralLIX Binary111011 Hexadecimal3B Fifty-nine is the 17th smallest prime number. The next is sixty-one, with which, 6161 sixty-one is the natural number following 60 and preceding 62. Mathematics It is the 18th prime number. The previous is 59, with which it comprises a twin prime. Sixty-one is a cuban prime of the form. Sixty-one is the sum of two squares, 52 + 62, and, 67Integers 67 is the natural number following 66 and preceding 68. Cardinal sixty-seven Ordinal67th (sixty-seventh) Factorization prime Roman numeralLXVII Binary1000011 Hexadecimal43 Mathematics Sixty-seven is the 19th prime number (the next is 71), an irre, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113
(This is sequence A000040 in OEIS; see list of prime numbers for the first 500 primes.) The set of all prime numbers is sometimes denoted by ℙ, a blackboard bold P.
In the context of ring theory, a branch of abstract algebra, the term "prime element" has a specific meaning, and under this meaning, the additive inverse of any prime number is also prime. In other words, when considering the set of integers Z as a ring, −7 is a prime element. However, even among mathematicians, the term "prime number" generally means a positive prime integer.
