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Create the page "Near-repdigit number" on this wiki! See also the search results found.

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  • M43
    | number=315416475618...411652943871 The number is [http://www.mersenneforum.org/txt/43.txt {{Num|9152052}} decimal digits]
    1 KB (191 words) - 11:31, 18 February 2019
  • M46
    | number=169873516452...765562314751 The number is [http://www.mersenneforum.org/txt/46.txt {{Num|12837064}} decimal digits
    2 KB (248 words) - 11:45, 18 February 2019
  • Distributed computing
    There are a number of individuals or groups in the fields of science, mathematics, cryptograph ...ng comes into the picture. Using the [[unused computing power]] of a large number of computers some of these problems can actually be solved within a reasona
    4 KB (674 words) - 12:11, 19 February 2019
  • CPU
    *Test to see if one number is larger than another *Move a number from one place to another
    2 KB (366 words) - 09:57, 13 February 2019
  • M42
    | number=122164630061...280577077247 ...senneforum.org/txt/42.txt {{Num|7816230}} decimal digits] long. This prime number was the eighth record prime found by the [[GIMPS]] project.
    934 bytes (118 words) - 11:26, 18 February 2019
  • M1
    | number= 3
    193 bytes (19 words) - 13:43, 17 February 2019
  • Conjectures 'R Us
    ...project]] in search for lowest [[Sierpiński number|Sierpiński]]/[[Riesel number|Riesel]] values.}} ...mbination of algebraic and trivial factor(s), or make [[Generalized Fermat number]]'s.
    3 KB (507 words) - 08:29, 29 May 2024
  • Fast Fourier transform
    Let ''x''<sub>0</sub>, ...., ''x''<sub>''n''-1</sub> be [[complex number]]s. The DFT is defined by the formula ...nd conquer algorithm that recursively breaks down a DFT of any [[Composite number|composite]] size ''n'' = ''n''<sub>1</sub>''n''<sub>2</sub> into many small
    17 KB (2,684 words) - 18:50, 28 September 2023
  • ClLucas
    ...penCL-based program written by [[Shoichiro Yamada]] for testing [[Mersenne number]]s for primality with [[Lucas-Lehmer test]]. It is an OpenCL counterpart of
    1 KB (137 words) - 18:48, 14 December 2023
  • GpuLucas
    ...[[CUDA]]-based program written by [[Andrew Thall]] for testing [[Mersenne number]]s for primality.
    2 KB (239 words) - 11:12, 13 February 2019
  • GpuOwL
    ...s a [[OpenCL]]-based program written by Mihai Preda for testing [[Mersenne number]]s for primality.
    1 KB (216 words) - 05:22, 1 December 2020
  • Classes of computers
    ...The architecture of modern supercomputers tend to be built around a large number of "off the shelf" [[CPU]]'s or [[GPU]]'s, rather than those of the past th
    4 KB (558 words) - 22:55, 3 February 2019
  • MersenneForum
    ...upport [[GIMPS]], the broader community of [[Mersenne number]]s, [[prime]] number, and factoring projects. In addition to being the de facto help and support ==Prime number software discussion and development==
    2 KB (293 words) - 17:33, 5 July 2019
  • Primo
    The program does not require a number to be of any specific form. If a number is found to be prime, a [[primality certificate]] is produced, which can be ...index.php?id=1100000001443762221 40,000 digits]. The certification of this number was done by [[Paul Underwood]] with Primo 4.3.0. The certification process
    1 KB (191 words) - 20:33, 12 May 2020
  • M32
    | number=174135906820...328544677887 :2<sup>756 839</sup>-1, a number {{Num|227832}} [[decimal]] [[digit]] long was found to be [[prime]] on 1992
    2 KB (279 words) - 08:35, 18 February 2019
  • M33
    | number=129498125604...243500142591 '''M33''' refers to 33rd [[Mersenne prime]] number 2<sup>{{Num|859433}}</sup>-1.
    814 bytes (97 words) - 08:38, 18 February 2019
  • M34
    | number=412245773621...976089366527 .../sup>-1, which is a number {{Num|378632}} [[decimal]] [[digit]]s long. The number was found to be prime in 1996.
    3 KB (513 words) - 08:42, 18 February 2019
  • Real number
    A '''real number''' is either a [[rational number]] or an [[irrational number]]. The set of real numbers is denoted by <math>\mathbb{R}</math>. *[[Wikipedia:Real_number|Real number]]
    390 bytes (57 words) - 15:00, 26 March 2023
  • Absolute value
    The '''absolute value''' of a [[real number]] is defined as: The absolute value of a [[complex number]] z = x + iy is defined as:
    556 bytes (89 words) - 16:58, 29 August 2022
  • Rational number
    A '''rational number''' is a [[real number]] which can be written as <math>\frac{a}{b}</math> or <math>a/b</math> wher ...r [[greatest common divisor]]. This operation does not change the rational number represented by the fraction.
    3 KB (541 words) - 15:01, 26 March 2023
  • Irrational number
    ...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
  • Binary
    [[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
  • Repunit
    ...[[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
  • Parallel computing
    ...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
  • Processor
    ...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
  • Trial factoring
    ...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
  • M40
    | 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
  • M39
    | 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
  • M44
    | 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
  • M45
    | 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
  • Natural number
    *[[Whole number]] *[[Wikipedia:Natural_number|Natural number]]
    316 bytes (43 words) - 15:00, 26 March 2023
  • Richard Crandall
    ...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
  • M38
    | 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
  • Nayan Hajratwala
    *[http://primes.utm.edu/notes/6972593 And the winning number is...]
    809 bytes (109 words) - 23:55, 14 January 2024
  • Irrational base discrete weighted transform
    ...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
  • PrimeKit
    ...optimized), but there is also an "Extras" folder containing some efficient number-theoretical C sources.
    1 KB (125 words) - 09:38, 23 January 2019
  • Coprime
    :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
  • Greatest common divisor
    ...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
  • Modular arithmetic
    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
  • Montgomery multiplication
    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
  • Elliptic curve method
    ...le of a point on a random elliptic curve [[modular arithmetic|modulo]] the number to be factored. It is currently the best [[algorithm]] known, among those w ...ber]]. This method cannot be used when it is not known in advance that the number is composite, so it cannot be used as a [[primality test]].
    19 KB (3,181 words) - 22:27, 6 July 2023
  • M35
    | number=814717564412...868451315711 ...er]]. The [[Lucas-Lehmer test]] took 88 hours to run. The primality of the number was confirmed by Slowinski. This showed the effectiveness of [[distributed
    2 KB (224 words) - 11:00, 18 February 2019
  • University of California, Los Angeles
    ...75 years (2 in the very first day of the run, no less). And he raised the number of digits of the largest known [[prime]] (in general) and Mersenne Prime fr
    2 KB (347 words) - 14:54, 19 September 2021
  • Raphael M. Robinson
    ...0) proved that an essentially undecidable theory need not have an infinite number of axioms by coming up with a counterexample: Robinson arithmetic ''Q''. '' ...ity of California, Los Angeles]]. In 1952, he showed that these [[Mersenne number]]s were all composite except for 17 values of ''n'' = 2, 3, 5, 7, 13, 17,
    4 KB (526 words) - 14:51, 19 September 2021
  • M36
    | number=623340076248...743729201151 ...k book. It took Spence's 100 MHz [[Pentium]] computer 15 days to prove the number prime. Alan White Managing Director at Technology Business Solutions, who p
    2 KB (279 words) - 11:01, 18 February 2019
  • Jonathan Pace
    ...umber-discovered How a FedEx employee discovered the world's largest prime number]. ''Popular Science''. 11 Jan 2018. ...-employee.html FedEx employee from Tennessee discovers largest known prime number]. ''CNBC''. 5 Jan 2018.
    2 KB (242 words) - 00:08, 15 January 2024
  • Wacław Sierpiński
    ...h|1882-03-14|1969-10-21}} was a Polish [[mathematician]] contributing in [[number theory]] and others. ...proved there are infinitely many odd integers {{Vk}} (named [[Sierpiński number]]s after him) such that {{Kbn|+|k|n}} is composite for all {{Vn}}.
    592 bytes (86 words) - 00:38, 15 January 2024
  • Sierpiński number
    ...l number {{Vk}} such that all {{Kbn|+|k|n}} for all {{Vn}} are [[Composite number|composite]]. *[[Wikipedia:Sierpiński_number|Sierpiński number]]
    324 bytes (48 words) - 13:37, 8 April 2023
  • Sierpiński problem
    The '''Sierpiński problem''' in [[number theory]] was proposed by [[Wacław Sierpiński]] in 1960. ...[[composite number]] {{V|N}}, then {{Vk}} is said to be a '''[[Sierpiński number]]'''.
    5 KB (650 words) - 10:25, 26 March 2024
  • Seventeen or Bust
    ...(SOB)''' was a [[distributed computing]] project working on a problem in [[number theory]] called the [[Sierpiński problem]]. It is currently a subproject o ...here ''k'' is one of the remaining 17 (now 5) candidates for [[Sierpiński number]]s smaller than 78557, and ''n'' a positive integer. In order to find such
    3 KB (544 words) - 16:44, 21 July 2019

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