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  • ...an '''irrational number''' is any [[real number]] that is not a [[rational number]], i.e., one that cannot be written as a ratio of two integers, i.e., it is *[[Wikipedia:Irrational_number|Irrational number]]
    763 bytes (124 words) - 15:14, 26 March 2023
  • [[Mersenne number]]s when written in binary are all 1's. This makes them [[repunit]] numbers.
    1 KB (210 words) - 11:16, 22 January 2019
  • ...[[Mersenne number]]s are repunit ('''rep'''eated '''unit''', "1" being the number referred to as "unity") numbers. 111 is a repunit, in base 2 it is equal to | align="center"|[[Mersenne number]]<br>(Base 2 repunit)
    1 KB (207 words) - 08:04, 12 March 2024
  • ...e is no need to exchange data on each step, it is feasible to process each number on a physically separate machine.
    3 KB (416 words) - 06:47, 1 May 2019
  • ...in a single chip package. A '''many-core''' processor is one in which the number of cores is large enough that traditional multi-processor techniques are no
    2 KB (269 words) - 14:56, 22 January 2019
  • ...are found, the number in question is prime; otherwise, it is a [[composite number]]. ..., P(2) = 3, P(3) = 5, etc, then the last prime factor possibility for some number N would be P(m) where P(m + 1) squared exceeds N.
    7 KB (1,221 words) - 13:20, 11 February 2019
  • | number=125976895450...762855682047 ...senneforum.org/txt/40.txt {{Num|6320430}} decimal digits] long. This prime number was the sixth record prime found by the [[GIMPS]] project.
    1 KB (189 words) - 11:17, 18 February 2019
  • | number=924947738006...470256259071 ...[[Michael Cameron]], using [[Prime95]] written by [[George Woltman]]. The number is [http://www.mersenneforum.org/txt/39.txt {{Num|4053946}} decimal digits]
    868 bytes (109 words) - 11:14, 18 February 2019
  • | number=124575026015...154053967871 ...senneforum.org/txt/44.txt {{Num|9808358}} decimal digits] long. This prime number was the tenth record prime found by the [[GIMPS]] project.
    997 bytes (129 words) - 11:35, 18 February 2019
  • | number=202254406890...022308220927 In an interview Hans-Michael Elvenich, a German electrical engineer and prime number enthusiast, stated: "After four years of searching for a prime on [[GIMPS]]
    2 KB (251 words) - 11:40, 18 February 2019
  • *[[Whole number]] *[[Wikipedia:Natural_number|Natural number]]
    316 bytes (43 words) - 15:00, 26 March 2023
  • ...uter]] scientist and physicist who has made contributions to computational number theory. He received a doctorate from [[Massachusetts Institute of Technolog His Erdös number is 2. He was one of the primary verifiers of [[M32]], [[M33]], and [[M34]].
    3 KB (431 words) - 11:36, 14 January 2024
  • | number=437075744127...142924193791 ...[[Nayan Hajratwala]], using [[Prime95]] written by [[George Woltman]]. The number is [http://www.mersenneforum.org/txt/38.txt {{Num|2098960}} decimal digits]
    1 KB (165 words) - 11:10, 18 February 2019
  • *[http://primes.utm.edu/notes/6972593 And the winning number is...]
    809 bytes (109 words) - 23:55, 14 January 2024
  • ...T''') is a variant of the [[Fast Fourier transform]] using an [[Irrational number|irrational]] base. It was proposed by [[Richard Crandall]] and [[Barry Fagi The IBDWT is used to perform FFT multiplication modulo [[Mersenne number]] in such programs as [[Prime95]], [[CUDALucas]], [[Glucas]], [[gpuLucas]].
    1 KB (172 words) - 18:49, 28 September 2023
  • ...optimized), but there is also an "Extras" folder containing some efficient number-theoretical C sources.
    1 KB (125 words) - 09:38, 23 January 2019
  • :Two random numbers are coprime with a probability over 60% (the exact number is <math>6/\pi^2</math>).
    738 bytes (112 words) - 09:50, 23 January 2019
  • ...re <math>a</math> and <math>b</math> are positive integers, is the maximum number that divides both <math>a</math> and <math>b</math>. There are faster methods, especially when number of thousands or millions of digits are used, as in [[GIMPS]], but they are
    2 KB (339 words) - 18:38, 27 September 2023
  • We can visualize this arithmetic using a clock. Suppose that the number 12 in the clock is replaced by zero. Then when we have to add an hour, we g where B is the number such that <math>A * B = 1</math> (mod <math>n</math>).
    4 KB (625 words) - 10:25, 23 January 2019
  • The Montgomery representation of a number <math>a</math> is the value ...presentation to normal, just perform a Montgomery multiplication using the number 1 as the second factor.
    4 KB (582 words) - 17:01, 29 August 2022

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