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  • Mersenne number
    A '''Mersenne number''' is a number of the form <math>2^n{-}1</math> where <math>n</math> is a non-negative [[integer]]. ...r <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
  • Leonhard Euler
    ...to its diameter in 1755, <math>\large i</math> for the <math>\large\sqrt{-1}</math> in 1777, the notation for finite differences <math>\large\delta y</
    16 KB (2,614 words) - 11:48, 14 January 2024
  • Marin Mersenne
    <math> f=\frac{1}{2L}\sqrt{\frac{T}{\mu}}, </math> ...would be explained if the ratio of the air oscillation frequencies is also 1&nbsp;:&nbsp;2, which in turn is consistent with the source-air-motion-frequ
    11 KB (1,582 words) - 01:17, 15 January 2024
  • Euclid
    ...with the definitions of the most basic and fundamental parts of geometry; 1. A point is that which has no part. 2. A line is breadthless length. From t
    2 KB (341 words) - 11:43, 14 January 2024
  • Laura 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 international news because N
    2 KB (254 words) - 01:23, 15 January 2024
  • David Slowinski
    | [[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
  • Fermat number
    :{{V|F}}<sub>{{Vn}}</sub> = {{Kbn|+|1|2|2<sup>n</sup>}} :{{V|F}}<sub>0</sub> = {{Kbn|+|1}} = 3
    12 KB (1,913 words) - 14:35, 9 August 2021
  • M50
    The official discovery date for prime 2<sup>77 232 917</sup>-1 was 2017-12-26. See the [https://www.mersenne.org/primes/press/M77232917.ht *[[Aaron Blosser]] verified it using [[Prime95]] on an Intel Xeon server in 1.5 days
    2 KB (333 words) - 13:16, 17 February 2019
  • M49
    The official discovery date for 2<sup>{{Num|74207281}}</sup>-1 was 2016-01-07. See the [http://www.mersenne.org/primes/?press=M74207281 pr
    2 KB (283 words) - 11:50, 18 February 2019
  • Curtis Cooper
    ...prime]], 2<sup>32 582 657</sup>-1. As of 2008-09-15 his account is ranked #1 on [[PrimeNet]] in [[Lucas-Lehmer test|LL testing]], with over 242 000 P90 ...3-01-25 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
  • Derrick Henry Lehmer
    ...vement to the [[Lucas primality test]] for [[Mersenne prime]]s <math>2^p{-}1</math>, extending its application to all odd prime exponents ''p'', and ena
    6 KB (1,033 words) - 01:13, 15 January 2024
  • Base 2 Home Prime Results
    {| border="1" cellpadding="4px" style="border:3px; border-color:#000; border-collapse:co {| border="1" cellpadding="4px" style="border:3px; border-color:#000; border-collapse:co
    2 KB (175 words) - 18:45, 14 December 2023
  • Cunningham project
    ...to find the complete [[factorization]] of numbers of the form <math>b^n\pm 1</math> for <math>b</math> = 2, 3, 5, 6, 7, 10, 11, 12. The values of the ex :<math>(b^{kn}-1) = (b^n-1) \sum _{r=0}^{k-1} b^{rn}</math>
    7 KB (1,150 words) - 05:23, 7 June 2024
  • 2 Minus Tables
    ==Factorizations Of Cunningham Numbers C<sup>-</sup>(2,n) = 2<sup>n</sup> - 1== * 001 - 100 : {{FDBCunningham|2|-|1|100}}
    2 KB (176 words) - 12:01, 13 February 2019
  • M25
    M25 is 2<sup>{{Num|21701}}</sup>-1, a number of {{Num|6533}} [[digit]]s. ...heory and that Tuckerman's discovery of [[M24]] (2<sup>{{Num|19937}}</sup>-1) was the start of this island.
    2 KB (303 words) - 11:01, 26 February 2019
  • Lucas-Lehmer test
    ...905 - 1991) provided a complete proof that this was not only true when p = 1 (mod 4), but for all odd prime exponents. The test therefore takes its name ...> - 1 divides S<sub>3</sub> (37634 / 31 = 1214) shows that 2<sup>5</sup> - 1 is prime.
    20 KB (3,572 words) - 14:30, 17 February 2019
  • Édouard Lucas
    ...ucas-Lehmer test]]. In 1876, Lucas proved the primality of <math>2^{127}{-}1</math> ([[M12]]) and this remained the highest [[Mersenne prime]] for almos
    2 KB (296 words) - 01:09, 15 January 2024
  • Decimal
    ...rious symbols (called [[digit]]s) for no more than ten distinct values (0, 1, 2, 3, 4, 5, 6, 7, 8 and 9) to represent any numbers, no matter how large.
    1 KB (190 words) - 10:23, 18 January 2019
  • Base
    | 1 || '''1''' || 1
    2 KB (399 words) - 10:37, 18 January 2019
  • Whole number
    *the nonnegative [[integer]]s (0, 1, 2, 3, ...) *the positive integers (1, 2, 3, ...) (often called [[natural number]]s)
    413 bytes (54 words) - 09:51, 8 February 2019

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