twin primes

twin primes
noun plural Date: 1930 a pair of prime numbers (as 3 and 5 or 11 and 13) differing by two

New Collegiate Dictionary. 2001.

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  • Twin prime — A twin prime is a prime number that differs from another prime number by two. Except for the pair (2, 3), this is the smallest possible difference between two primes. Some examples of twin prime pairs are (3, 5), (5, 7), (11, 13), (17, 19), (29,… …   Wikipedia

  • Twin prime conjecture — The twin prime conjecture is a famous unsolved problem in number theory that involves prime numbers. It states:: There are infinitely many primes p such that p + 2 is also prime. Such a pair of prime numbers is called a prime twin. The conjecture …   Wikipedia

  • Twin Prime Search — (TPS) is a distributed computing project that looks for large twin primes. It uses the programs LLR (for primality testing) and NewPGen (for sieving). It was founded on April 13 2006 by Michael Kwok. TPS has found one twin prime, 2003663613… …   Wikipedia

  • Primes in arithmetic progression — In number theory, the phrase primes in arithmetic progression refers to at least three prime numbers that are consecutive terms in an arithmetic progression, for example the primes (3, 7, 11) (it does not matter that 5 is also prime). There are… …   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

  • 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

  • Brun's constant — In 1919 Viggo Brun showed that the sum of the reciprocals of the twin primes (pairs of prime numbers which differ by 2) converges to a mathematical constant now called Brun s constant for twin primes and usually denoted by B 2 OEIS|id=A065421::B… …   Wikipedia

  • Prime quadruplet — A prime quadruplet (sometimes called prime quadruple) is four primes of the form { p , p +2, p +6, p +8}. [MathWorld|urlname=PrimeQuadruplet|title=Prime Quadruplet Retrieved on 2007 06 15.] It is the closest four primes above 3 can be together,… …   Wikipedia

  • Chen prime — Named after Jing Run Chen Publication year 1973[1] Author of publication Chen, J. R. First terms 2, 3, 5, 7, 11, 13 …   Wikipedia

  • Cousin prime — In mathematics, cousin primes are prime numbers that differ by four;[1] compare this with twin primes, pairs of prime numbers that differ by two, and sexy primes, pairs of prime numbers that differ by six. The cousin primes (sequences  A023200… …   Wikipedia

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