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  • 3
    917 bytes (86 words) - 12:13, 22 May 2019
  • ...ime MM table|here]]<br>{{#expr:{{PAGESINCATEGORY:Williams prime MM|pages}}-3}} bases || [[Williams prime MM least|here]]<ref>The list contains values fo ...ime MP table|here]]<br>{{#expr:{{PAGESINCATEGORY:Williams prime MP|pages}}-3}} bases || [[Williams prime MP least|here]]<br>{{PAGESINCATEGORY:Williams p
    5 KB (744 words) - 07:30, 5 August 2019
  • 3 3
    5 KB (537 words) - 08:17, 9 October 2020
  • 3
    1 KB (85 words) - 10:45, 16 April 2023
  • <pre><math>\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty</math></pre> :<math>\sum_{i=1}^\infty \frac{1}{p_i} = \frac{1}{2} + \frac{1}{3} + \frac{1}{5} + \frac{1}{7} + \frac{1}{11} + \dotsb = \infty</math>
    11 KB (1,236 words) - 14:41, 3 September 2020
  • ...us; 1 = {{Kbn|4}}, for example, is not a prime, because 15 is divisible by 3 and 5. The first four Mersenne primes {{V|M<sub>2</sub>}}, {{V|M<sub>3</sub>}}, {{V|M<sub>5</sub>}}, {{V|M<sub>7</sub>}} were known in antiquity.
    5 KB (857 words) - 14:53, 19 September 2021
  • ...for ''d=0 ... 48'' and has provided a new (and clearer) proof for case ''d=3''. *Let <math>q = 3 \pmod{4}</math> be a prime. <math>2q+1</math> is also a prime if and only i
    2 KB (351 words) - 11:28, 7 March 2019
  • : <math>\sqrt[4]{\frac{2}{3-\sqrt{2}}}</math> ...enne prime|Mersenne primes]] less than or equal to M(257) were:<br>M(2), M(3), M(5), M(7), M(13), M(17), M(19), M(31), ''M(67)'', [[M12|M(127)]], ''M(25
    11 KB (1,582 words) - 01:17, 15 January 2024
  • :{{V|F}}<sub>0</sub> = {{Kbn|+|1}} = 3 :{{V|F}}<sub>3</sub> = {{Kbn|+|8}} = 257
    12 KB (1,913 words) - 14:35, 9 August 2021
  • ...the [[Ramanujan conjecture]], that <math>5^4 | p(599)</math> and <math>11^3 | p(721)</math>, computing the values using the [[Hardy-Ramanujan series]]
    6 KB (1,033 words) - 01:13, 15 January 2024
  • The length of such chains is also of interest, in this case #HP(25) = 3. :21<sub>10</sub> = 3 &times; 7 (11 &times; 111)
    980 bytes (143 words) - 13:22, 6 March 2019
  • *[[3 Minus Tables]] *[[3 Plus Tables]]
    614 bytes (69 words) - 12:08, 13 February 2019
  • ...ion]] 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 exponent <math>n</math> are selecte | 2 || 3 || 5 || 6 || 7 || 10 || 11 || 12
    7 KB (1,150 words) - 23:48, 19 April 2023
  • *2 : {{FDBID|3}} / M1 *3 : {{FDBID|7}} / M2
    2 KB (176 words) - 12:01, 13 February 2019
  • ...<sup>2</sup> - 2 = 37634. So the fact that 2<sup>5</sup> - 1 divides S<sub>3</sub> (37634 / 31 = 1214) shows that 2<sup>5</sup> - 1 is prime. ...4 (= 2<sup>2</sup>) bits, the value of S<sub>2</sub> has about 8 (= 2<sup>3</sup>) bits, and the value of S<sub>50000000</sub> (which would need to be
    20 KB (3,572 words) - 14:30, 17 February 2019
  • '''François Édouard Anatole Lucas''' {{BirthDeath|4. April 1842|3. October 1891}} was born in Amiens, France and educated at the Ecole Normal
    2 KB (296 words) - 01:09, 15 January 2024
  • A '''digit''' is a symbol (a number symbol, e.g. "3" or "7") used in numerals (combinations of symbols, e.g. "37"), to represen
    1 KB (171 words) - 10:17, 18 January 2019
  • ...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. These
    1 KB (190 words) - 10:23, 18 January 2019
  • | 3 || '''11''' || 3
    2 KB (399 words) - 10:37, 18 January 2019
  • *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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