Results 11 to 20 of about 398,588 (120)
Mersenne Numbers: consolidated results [PDF]
, 1986 This document provides and comments on the results of the Lucas-Lehmer testing and/or partial factorisation of all Mersenne Numbers Mp = 2^p-1 where p is prime and less than 100,000. Previous computations have either been confirmed or corrected.
Hunt, David +4 more
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The search for the largest non Mersenne prime number
, 2021 I bring novelties in the search for the largest non mersenne prime number coming if not at the greatest number very close to ...
Luis Felipe massena misiec (8212830)
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On digits of Mersenne numbers [PDF]
, 2021 Motivated by recently developed interest to the distribution of $q$-arydigits of Mersenne numbers $M_p = 2^p-1$, where $p$ is prime, we estimaterational exponential sums with $M_p$, $p \leq X$, modulo a large power of afixed odd prime $q$.
Shparlinski, I. +5 more
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General Solution of the Diophantine equation involving Mersenne Prime [PDF]
, 2023 In this article, I study and solve the exponential Diophantine equation $M_p^{x} + (M_q + 1)^{y}= (lz)^2$ where $M_p$ and $M_q$ are Mersenne primes, $l$ is a prime number, and $x,y$, and $z$ are non-negative integers.
Ghosh, Arkabrata
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Random number generators with period divisible by a Mersenne prime
, 2003 Colloque avec actes et comité de lecture. internationale.International audiencePseudo-random numbers with long periods and good statistical properties are often required for applications in computational finance.
Brent, Richard, P., Zimmermann, Paul
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On the Mersenne Prime Numbers [PDF]
, 2020 The prime numbers have been an important field of research for thousands of years and are intertwined with most other fields of mathematics. One topic that has piqued the interest of mathematicians young and old is the Mersenne prime numbers, which have ...
VanLandingham, Julia
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, 2011 Marin Mersenne’s mathematical contributions helped paved the way for advances in mathematics. In this article, his life is not only depicted but his mathematical intellect is highlighted through his achievements.
Fryer, Joseph, Detro, Casey
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, 1991 The number 2 110503 − 1 {2^{110503}} - 1 is a Mersenne prime.
W. N. Colquitt, L. Welsh
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High performance FPGA implementation of the mersenne twister [PDF]
, 2008 Efficient generation of random and pseudorandom sequences is of great importance to a number of applications [4]. In this paper, an efficient implementation of the Mersenne Twister is presented. The proposed architecture has the smallest footprint of all
Shrutisagar Chandrasekaran +3 more
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, 1983 We add to the heuristic and empirical evidence for a conjecture of Gillies about the distribution of the prime divisors of Mersenne numbers. We list some large prime divisors of Mersenne numbers M p {M_p}
Samuel S. Wagstaff
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