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  • 2 Plus Tables
    ==Factorizations Of Cunningham Numbers C<sup>+</sup>(2,n) = 2<sup>n</sup> + 1== * 001 - 100 : {{FDBCunningham|2|+|1|100}}
    2 KB (127 words) - 15:28, 17 August 2019
  • Rational number
    :<math>\large a + \frac{k(b-a)}{n+1}</math> by varying the number <math>k</math> from 1 to <math>n</math>. Then we can make the value <math>n</math> as high as we
    3 KB (541 words) - 15:01, 26 March 2023
  • Binary
    ...em, a representation for numbers using only two [[digit]]s (usually, 0 and 1). Thus it is a [[base]] 2 numbering system. ...the next digit to the right; the place value of the rightmost digit being 1.
    1 KB (210 words) - 11:16, 22 January 2019
  • Repunit
    ...digit]]. All [[Mersenne number]]s are repunit ('''rep'''eated '''unit''', "1" being the number referred to as "unity") numbers. 111 is a repunit, in bas :(10<sup>n</sup> - 1) / 9
    1 KB (207 words) - 08:04, 12 March 2024
  • Parallel computing
    ==Example 1== ! Step !! Input 1 !! Operation !! Input 2 !! Result !! 1440<br>x 365
    3 KB (416 words) - 06:47, 1 May 2019
  • Trial factoring
    ...last prime factor possibility for some number N would be P(m) where P(m + 1) squared exceeds N. ...factor candidates would be close to <math>\frac {\sqrt{N}}{Ln(\sqrt{N}) - 1}</math> which for <math>N = 10^{20}</math> is 450 million.
    7 KB (1,221 words) - 13:20, 11 February 2019
  • M40
    ...e 40th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|20996011}}</sup>-1. This number was discovered to be [[prime]] on 2003-11-17 by [[Michael Shaf ..., California (author of program [[Mlucas]]) using three weeks of time on a 1 GHz HP Alpha workstation.
    1 KB (189 words) - 11:17, 18 February 2019
  • Michael Shafer
    ...scovered the [[M40|40th]] [[Mersenne prime]], 2<sup>{{Num|20996011}}</sup>-1 at [[GIMPS]] project.
    660 bytes (88 words) - 00:39, 15 January 2024
  • Josh Findley
    ...very of the [[M41|41st known Mersenne prime]] 2<sup>{{Num|24036583}}</sup>-1.
    695 bytes (93 words) - 11:46, 14 January 2024
  • M39
    | top5000id=1 ...e 39th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|13466917}}</sup>-1. This number was discovered to be [[prime]] on 2001-11-14 by [[Michael Came
    868 bytes (109 words) - 11:14, 18 February 2019
  • M44
    ...rime]]. Currently that designation belongs to 2<sup>{{Num|32582657}}</sup>-1.
    997 bytes (129 words) - 11:35, 18 February 2019
  • M45
    '''M45''' normally refers to 2<sup>{{Num|37156667}}</sup>-1, the 45th [[Mersenne prime]] in order of size from the smallest to greatest
    2 KB (251 words) - 11:40, 18 February 2019
  • Odd Magnar Strindmo
    ...46th Mersenne prime]] (chronologically 47th), 2<sup>{{Num|42643801}}</sup>-1. Strindmo goes by the alias '''Stig M. Valstad''' on [[GIMPS]].
    991 bytes (141 words) - 00:33, 15 January 2024
  • M38
    ...he 38th [[Mersenne prime]]. Specifically it is 2<sup>{{Num|6972593}}</sup>-1. This number was discovered to be [[prime]] on 1999-06-01 by [[Nayan Hajrat
    1 KB (165 words) - 11:10, 18 February 2019
  • Nayan Hajratwala
    ...ho discovered the [[M38|38th Mersenne prime]], 2<sup>{{Num|6972593}}</sup>-1.
    809 bytes (109 words) - 23:55, 14 January 2024
  • Coprime
    ...ly primes when their [[greatest common divisor]] is 1 (<math>\gcd{(x,y)} = 1</math>). This does not mean that any of these numbers is prime.
    738 bytes (112 words) - 09:50, 23 January 2019
  • Greatest common divisor
    When the greatest common divisor is 1, both numbers are [[coprime]] or relatively prime. This does not mean that #Go back to step 1.
    2 KB (339 words) - 18:38, 27 September 2023
  • Modular arithmetic
    ...can be done when working modulo N, where N is an [[integer]] greater than 1. ...s is arithmetic modulo 12 and the set of numbers representing the hours 0, 1, 2, 3,..., 11 is known as <b>Z</b>/12<b>Z</b>.
    4 KB (625 words) - 10:25, 23 January 2019
  • Montgomery multiplication
    ...onentiation]], [[Elliptic curve method|ECM]], [[P-1 factorization method|p-1]], etc.) this method is really fast. ...ation to normal, just perform a Montgomery multiplication using the number 1 as the second factor.
    4 KB (582 words) - 17:01, 29 August 2022
  • Elliptic curve method
    :<math>O(\exp{\sqrt{(\log p \,\log \log p)(1+O(1)}})</math> ...omposite number is a number that has divisors that are neither itself, nor 1. A highly composite number is a number that has lots and lots of divisors.
    19 KB (3,181 words) - 22:27, 6 July 2023

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