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large Mersenne primes

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  • Mersenne prime — Named after Marin Mersenne Publication year 1536[1] Author of publication Regius, H. Number of known terms 47 Conjectured number of terms Infinite …   Wikipedia

  • Mersenne, Marin — ▪ French mathematician Introduction born Sept. 8, 1588, near Oizé, Maine, France died Sept. 1, 1648, Paris       French theologian, natural philosopher, and mathematician. While best remembered by mathematicians for his search for a formula to… …   Universalium

  • Lucas–Lehmer test for Mersenne numbers — This article is about the Lucas–Lehmer test (LLT), that only applies to Mersenne numbers. There is also a Lucas Lehmer Riesel test for numbers of the form N=k 2^n 1, with 2^n > k, based on the LLT: see Lucas Lehmer Riesel test. There is also a… …   Wikipedia

  • Great Internet Mersenne Prime Search — The Great Internet Mersenne Prime Search (GIMPS) is a collaborative project of volunteers who use freely available computer software to search for Mersenne prime numbers. The project was founded by George Woltman, who also wrote the software… …   Wikipedia

  • Double Mersenne number — In mathematics, a double Mersenne number is a Mersenne number of the form where p is a Mersenne prime exponent. Contents 1 The smallest double Mersenne numbers 2 Double Mersenne primes …   Wikipedia

  • Marin Mersenne — For the primes named after Marin Mersenne, see Mersenne prime. Marin Mersenne Born 8 September 1588(1588 09 08) Oizé, Maine Died …   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

  • Largest known prime number — The largest known prime number is the largest integer that is currently known to be a prime number.It was proven by Euclid that there are infinitely many prime numbers; thus, there is always a prime greater than the largest known prime. Many… …   Wikipedia

  • Safe prime — A safe prime is a prime number of the form 2 p + 1, where p is also a prime. (Conversely, the prime p is a Sophie Germain prime.) The first few safe primes are5, 7, 11, 23, 47, 59, 83, 107, 167, 179, 227, 263, 347, 359, 383, 467, 479, 503, 563,… …   Wikipedia

  • Orders of magnitude (numbers) — The logarithmic scale can compactly represent the relationship among variously sized numbers. This list contains selected positive numbers in increasing order, including counts of things, dimensionless quantity and probabilities. Each number is… …   Wikipedia

  • Fermat number — 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^{ overset{n} {} + 1where n is a nonnegative integer. The first nine Fermat numbers are OEIS|id=A000215:As of|2008 …   Wikipedia

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