theorem of prime numbers

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• List of prime numbers — This is an incomplete list, which may never be able to satisfy particular standards for completeness. You can help by expanding it with reliably sourced entries. By Euclid s theorem, there are an infinite number of prime numbers. Subsets of the… …   Wikipedia

• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

• Prime number theorem — PNT redirects here. For other uses, see PNT (disambiguation). In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers. The prime number theorem gives a general description of how the primes are… …   Wikipedia

• Prime-counting function — In mathematics, the prime counting function is the function counting the number of prime numbers less than or equal to some real number x cite book |first=Eric |last=Bach |coauthors=Shallit, Jeffrey |year=1996 |title=Algorithmic Number Theory… …   Wikipedia

• prime number theorem — Math. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm. [1660 70] * * * ▪ mathematics  formula that gives an approximate value for the… …   Universalium

• Prime gap — A prime gap is the difference between two successive prime numbers. The n th prime gap, denoted g n , is the difference between the ( n +1) th and the n th prime number, i.e.: g n = p n + 1 − p n .We have g 1 = 1, g 2 = g 3 = 2, and g 4 = 4. The… …   Wikipedia

• prime — primeness, n. /pruym/, adj., n., v., primed, priming. adj. 1. of the first importance; demanding the fullest consideration: a prime requisite. 2. of the greatest relevance or significance: a prime example. 3. of the highest eminence or rank: the… …   Universalium

• Prime ideal — In mathematics, a prime ideal is a subset of a ring which shares many important properties of a prime number in the ring of integers. This article only covers ideals of ring theory. Prime ideals in order theory are treated in the article on… …   Wikipedia

• prime number — Math. a positive integer that is not divisible without remainder by any integer except itself and 1, with 1 often excluded: The integers 2, 3, 5, and 7 are prime numbers. Also called prime. [1585 95] * * * Any positive integer greater than 1 and… …   Universalium

• prime number theorem — Math. the theorem that the number of prime numbers less than or equal to a given number is approximately equal to the given number divided by its natural logarithm. [1660 70] …   Useful english dictionary

• Fermat's Last Theorem — is the name of the statement in number theory that:: It is impossible to separate any power higher than the second into two like powers,or, more precisely:: If an integer n is greater than 2, then the equation a^n + b^n = c^n has no solutions in… …   Wikipedia