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sequence 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

  • Sequence — For other uses, see Sequence (disambiguation). In mathematics, a sequence is an ordered list of objects (or events). Like a set, it contains members (also called elements or terms), and the number of terms (possibly infinite) is called the length …   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 — 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 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-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

  • Super-prime — The subsequence of prime numbers that occupy prime numbered positions within the sequence of all prime numbers begins:3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, … OEIS|id=A006450.That is, if p ( i ) denotes the i th prime number, the… …   Wikipedia

  • Prime signature — The prime signature of a number is the sequence of exponents of its prime factorisation sorted in order of size.For example, all prime numbers have a prime signature of {1}, the squares of primes have a prime signature of {2}, the products of 2… …   Wikipedia

  • Sylvester's sequence — In number theory, Sylvester s sequence is a sequence of integers in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are::2, 3, 7, 43, 1807, 3263443, 10650056950807,… …   Wikipedia

  • Integer sequence prime — In mathematics, an integer sequence prime is a prime number found as a member of an integer sequence. For example, the 8th Delannoy number, 265729, is prime. A challenge in empirical mathematics is to identify large prime values in rapidly… …   Wikipedia

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