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  • ...a [[natural number]] of the form {{Kbn|(b-1)|b|n}} for integers ''b'' ≥ 2 and ''n'' ≥ 1. ...Smallest <ref>The list of smallest primes of any base is an ASCII file for 2 ≤ ''b'' ≤ 1024. For unknown values only the base is given.</ref> !! Rem
    5 KB (744 words) - 07:30, 5 August 2019
  • |CKBase=2 2
    5 KB (537 words) - 08:17, 9 October 2020
  • 2 2
    1 KB (85 words) - 10:45, 16 April 2023
  • '''srsieve''' (and '''sr1/2/5sieve''') is used to create sieve files for one or more sequences. Those s
    2 KB (265 words) - 07:36, 28 May 2021
  • <pre><math>\sideset{_1^2}{_3^4}\prod_a^b</math></pre> :<math>\sideset{_1^2}{_3^4}\prod_a^b</math>
    11 KB (1,236 words) - 14:41, 3 September 2020
  • ...as born in 1588. Mersenne investigated a particular type of prime numbers: 2<sup>p</sup> - 1, in which ''p'' is an ordinary [[prime]].
    3 KB (450 words) - 14:37, 21 August 2019
  • *'''Digits in M<sub>n</sub>''': denotes the [[Mersenne prime]] 2<sup>n</sup>-1 and a downloadable decimal representation ...n P<sub>n</sub>''': denotes the [[Perfect number]] 2<sup>n-1</sup> &bull; (2<sup>n</sup>-1) and a downloadable decimal representation
    2 KB (360 words) - 09:44, 6 March 2019
  • ...is one less than a [[power of two]]. For example, 3 = 4 &minus; 1 = {{Kbn|2}} is a Mersenne prime; so is 7 = 8 &minus; 1 = {{Kbn|3}}. On the other hand :<math>M_n=2^n{-}1</math> .
    5 KB (857 words) - 14:53, 19 September 2021
  • A '''Mersenne number''' is a number of the form <math>2^n{-}1</math> where <math>n</math> is a non-negative [[integer]]. ...senne number <math>2^n{-}1</math> can be calculated by <math>\lfloor{n*log(2)}\rfloor+1</math> (see [[floor function]]).
    2 KB (351 words) - 11:28, 7 March 2019
  • ...for finite differences <math>\large\delta y</math> and <math>\large\delta^2 y</math> and many more.
    16 KB (2,614 words) - 11:48, 14 January 2024
  • : <math>\sqrt[4]{\frac{2}{3-\sqrt{2}}}</math> ...ined if the ratio of the air oscillation frequencies is also 1&nbsp;:&nbsp;2, which in turn is consistent with the source-air-motion-frequency-equivalen
    11 KB (1,582 words) - 01:17, 15 January 2024
  • ...c and fundamental parts of geometry; 1. A point is that which has no part. 2. A line is breadthless length. From these definitions of the point and the
    2 KB (341 words) - 11:43, 14 January 2024
  • ...l candidates with prime [[exponent]]s up to and including M26. During that 2 hour period, it duplicated what had previously occurred over a 520 year per
    2 KB (333 words) - 12:40, 9 February 2022
  • ...aura A. Nickel''') with [[Landon Curt Noll]] discovered on 1978-10-30 that 2<sup>21701</sup>-1 was the [[M25|25th Mersenne prime]]. This made internatio
    2 KB (254 words) - 01:23, 15 January 2024
  • | [[M27]] || 2<sup>{{Num|44497}}</sup>-1 || 1979-04-08 | [[M28]] || 2<sup>{{Num|86243}}</sup>-1 || 1982-09-25
    1 KB (213 words) - 23:53, 14 January 2024
  • :{{V|F}}<sub>{{Vn}}</sub> = {{Kbn|+|1|2|2<sup>n</sup>}} :{{V|F}}<sub>1</sub> = {{Kbn|+|2}} = 5
    12 KB (1,913 words) - 14:35, 9 August 2021
  • The official discovery date for prime 2<sup>77 232 917</sup>-1 was 2017-12-26. See the [https://www.mersenne.org/pr ...glund also confirmed using Mlucas running on an [[Amazon EC2]] instance in 2.7 days
    2 KB (333 words) - 13:16, 17 February 2019
  • The official discovery date for 2<sup>{{Num|74207281}}</sup>-1 was 2016-01-07. See the [http://www.mersenne.o ...ill, who each ran the [[CUDALucas]] software on NVidia Titan Black GPUs in 2.3 days
    2 KB (283 words) - 11:50, 18 February 2019
  • ...-09-04 when the pair discovered the [[M44|44th]] known [[Mersenne prime]], 2<sup>32 582 657</sup>-1. As of 2008-09-15 his account is ranked #1 on [[Prim On 2013-01-25 Cooper discovered his third Mersenne prime, 2<sup>57 885 161</sup>-1, the [[M48|48th]] known.
    2 KB (237 words) - 11:34, 14 January 2024
  • ...k's father enabled them to find factors for all integers up to ''48911<sup>2</sup>'', and these factorisations were published in a book in 1929. That su ...improvement to the [[Lucas primality test]] for [[Mersenne prime]]s <math>2^p{-}1</math>, extending its application to all odd prime exponents ''p'', a
    6 KB (1,033 words) - 01:13, 15 January 2024

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