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Create the page "Williams primes" on this wiki! See also the search results found.
- A '''Williams number''' is a [[natural number]] of the form {{Kbn|(b-1)|b|n}} for integer A '''Williams prime''' is a Williams number which is [[prime]].5 KB (744 words) - 07:30, 5 August 2019
- Get the parameter "CKBase" from "Carol-Kynea base 2" primes -->{{#if:{{#pos:{{{1}}}|Williams}}|{{#vardefine:_type|Williams prime}}{{#vardefine:_short|Wi}}}}<!--3 KB (311 words) - 18:08, 13 August 2021
- {{Box|hide=true|title=Example of prime sequence and reservation|content=[[Williams prime MM 5]]}} The <b>[[:Category:Carol-Kynea_prime|category]]</b> for Carol/Kynea primes holds example pages for some bases.11 KB (1,236 words) - 14:41, 3 September 2020
- ...ent has order N-1 we must show that it does not have order (N-1)/q for all primes q dividing N-1. Thus, if we know all the factors of N-1, we can prove N pri ...all the prime factors of N-1 or N+1 are known. (See Chapter 4.3 and 8.4 of Williams' book). When we test N = 2<sup>p</sup>-1, the recursion is particularly sim20 KB (3,572 words) - 14:30, 17 February 2019
- Template Williams prime Display of current data for Williams primes, comments will be displayed as references at the bottom.3 KB (307 words) - 02:06, 17 May 2021
- {{Williams prime |WiRemarks=These primes are [[Near-repdigit]] numbers; see [https://stdkmd.net/nrr/8/89999.htm Fact1 KB (143 words) - 02:41, 5 November 2020
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b-1)|b|n}}, least {{Vn}}-values}} ...e ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 2049 which generates a [[Williams prime]] of the form {{Kbn|(b-1)|b|n}}.2 KB (211 words) - 07:40, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b-1)|b|n}}}} ==Primes table==460 bytes (65 words) - 23:05, 31 July 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b-1)|b|n}}}} ==Primes table==462 bytes (65 words) - 08:05, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b+1)|b|n}}}} ==Primes table==458 bytes (65 words) - 14:02, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b+1)|b|n}}}} ==Primes table==447 bytes (65 words) - 08:12, 18 June 2019
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b-1)|b|n}}, least {{Vn}}-values}} ...e ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 1024 which generates a [[Williams prime]] of the form {{Kbn|+|(b-1)|b|n}}.3 KB (408 words) - 08:00, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b+1)|b|n}}, least {{Vn}}-values}} ...e ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 1024 which generates a [[Williams prime]] of the form {{Kbn|(b+1)|b|n}}.1 KB (161 words) - 13:57, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b+1)|b|n}}, least {{Vn}}-values}} ...e ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 1024 which generates a [[Williams prime]] of the form {{Kbn|+|(b+1)|b|n}}.2 KB (306 words) - 09:54, 7 September 2020
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b-1)|b|n}}, remaining data}} ...e all remaining data given not yet available as separate page for Williams primes of the form {{Kbn|(b-1)|b|n}} for {{Vb}} < 2050.962 bytes (137 words) - 07:42, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b-1)|b|n}}, without any primes}} [[Category:Williams prime MM| ]]40 members (0 subcategories, 0 files) - 15:30, 13 June 2019
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b-1)|b|n}}, without any primes}} [[Category:Williams prime MP| ]]21 members (0 subcategories, 0 files) - 07:28, 14 June 2019
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b+1)|b|n}}, without any primes}} [[Category:Williams prime PM| ]]1 member (0 subcategories, 0 files) - 12:47, 17 June 2019
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b+1)|b|n}}, without any primes}} [[Category:Williams prime PP| ]]4 members (0 subcategories, 0 files) - 12:52, 17 June 2019
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b+1)|b|n}}, remaining data}} ...e all remaining data given not yet available as separate page for Williams primes of the form {{Kbn|+|(b+1)|b|n}} for ''b'' < 1025.962 bytes (135 words) - 07:49, 26 June 2019
