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Create the page "Vn" on this wiki! See also the search results found.
- {{HistR|2022-05-13|Ryan Propper|605837}}, for {{Vn}}>2500001 KB (144 words) - 16:10, 29 March 2024
- ...txt</code> to <code>4.txt</code> with equally split candidates sorted by {{Vn}}. ...txt</code> to <code>4.txt</code> with equally split candidates sorted by {{Vn}}.1 KB (203 words) - 18:52, 2 October 2022
- ...e; {{V|M<sub>n</sub>}} may be [[Composite number|composite]] even though {{Vn}} is prime. For example, <math>2^{11} - 1 = 23 \cdot 89</math>.5 KB (857 words) - 14:53, 19 September 2021
- :{{V|F}}<sub>{{Vn}}</sub> = {{Kbn|+|1|2|2<sup>n</sup>}} where {{Vn}} is a [[non-negative]] [[integer]]. The first eight Fermat numbers are (se12 KB (1,913 words) - 14:35, 9 August 2021
- ===Table of open Home Primes up to {{Vn}} = {{Num|12000}}=== ! {{Vn}} || Index || Size || Last edit || Participant2 KB (175 words) - 18:45, 14 December 2023
- {{HistR|2020-03-22|(Alex_soldier)}} upto {{Vn}}=1000000432 bytes (32 words) - 13:38, 2 January 2023
- {{HistR|2020-06-05|(Alex_soldier),Alexander Tsupko}} upto {{Vn}}=50000000498 bytes (31 words) - 13:34, 2 January 2023
- {{HistR|2022-12-02|(Alex_soldier)}} upto {{Vn}}=10000000334 bytes (32 words) - 15:12, 27 January 2023
- ...d in instances where all {{Vn}}'s are covered by one trivial factor, all {{Vn}}'s are covered by algebraic factors or a combination of algebraic and triv ...or the forms {{Kbn|±|k|2|n}} where {{Vn}} is always odd '''and''' where {{Vn}} is always even.3 KB (503 words) - 02:20, 1 May 2024
- ...]s of the form {{Kbn|k|2|n}} with odd {{Vk}} and 300 < {{Vk}} < 1001 and {{Vn}} > 260000 not reserved by others with highly presieved ranges.745 bytes (111 words) - 02:17, 1 May 2024
- ...iński number]]s after him) such that {{Kbn|+|k|n}} is composite for all {{Vn}}.592 bytes (86 words) - 00:38, 15 January 2024
- ...r''' is an odd natural number {{Vk}} such that all {{Kbn|+|k|n}} for all {{Vn}} are [[Composite number|composite]].324 bytes (48 words) - 13:37, 8 April 2023
- ...e {{Vk}} is odd and {{Vn}} > 0. If, for some fixed {{Vk}}, every integer {{Vn}} yields a [[composite number]] {{V|N}}, then {{Vk}} is said to be a '''[[S ...}} = 78557 is a Sierpiński number. The proof shows that every choice of {{Vn}} falls into at least one of seven categories, where each category guarante5 KB (650 words) - 10:25, 26 March 2024
- ...h's theorem]]: Used to test numbers of the form {{Kbn|+|k|n}} with 2<sup>{{Vn}}</sup> > {{Vk}}, making it useful in several [[distributed computing proje3 KB (501 words) - 05:20, 3 August 2021
- ...vailable to perform primality test on numbers of the form {{Vk}}•2<sup>{{Vn}}</sup>±{{V|c}}. *the fastest algorithms are for base two numbers (with {{Vk}} < 2<sup>{{Vn}}</sup>):2 KB (300 words) - 22:00, 16 December 2023
- If the {{Vk}}-value is a square and the {{Vn}}-value even the Proth prime {{Kbn|+|k|b|n}} is also a Generalized Fermat n5 KB (726 words) - 09:57, 12 September 2021
- ...ermat Prime Search]]: searching for primes of the form {{Kbn|+|1|b|2<sup>{{Vn}}</sup>}}. ...on ({{V|p}}+{{V|d•n}}) that yields primes for 27 consecutive values of {{Vn}}.3 KB (458 words) - 10:28, 26 March 2024
- * [[Twin Prime Search 222333|{{Vn}}=222333 twin/Sophie Germain drive]] * [[Twin Prime Search 333444|{{Vn}}=333444 twin/Sophie Germain drive]]826 bytes (100 words) - 11:04, 21 March 2024
- ...{Vk}}-values that can produce many primes in the given range of exponent {{Vn}}845 bytes (120 words) - 02:21, 1 May 2024
- ...'''Riesel prime''' mostly all primes of the form {{Kbn|k|n}} with 2<sup>{{Vn}}</sup> > {{Vk}} are called like this on many pages. Different from this definition all values {{Vn}} ≥ 1 are listed in {{SITENAME}}.2 KB (279 words) - 03:48, 24 April 2024
- The sieve ({{Vn}}<50M) reached the optimal sieve zone and it's now suspended.2 KB (326 words) - 10:29, 26 March 2024
- ...dd positive [[integer]] and {{Vn}} is a positive integer such that 2<sup>{{Vn}}</sup> > {{Vk}}. Without the condition that 2<sup>{{Vn}}</sup> > {{Vk}}, all odd integers greater than 1 would be Proth numbers, b670 bytes (104 words) - 10:59, 9 July 2021
- ...of 3, 7, 13, 31 or 601 (the [[covering set]]) depending on the value of {{Vn}}, so it is always composite.556 bytes (83 words) - 10:57, 14 October 2020
- ...of integers {{Vk}} such that {{Kbn|k|2|n}} is not prime for any integer {{Vn}}. He showed that the number {{Vk}} = ''{{Num|509203}}'' has this property. ...s property. To prove this, it suffices to show that there exists a value {{Vn}} such that {{Kbn|k|2|n}} is prime for each {{Vk}} < {{Num|509203}}.6 KB (689 words) - 18:14, 4 April 2024
- ...3|1354828}}, {{PP|87775|6328548}}, {{PP|89536|6679881}} and for no other {{Vn}} < {{Num|{{GP|Cullen prime 2|CuMaxn}}}} ({{OEIS|l|A005849}}).2 KB (252 words) - 17:39, 31 August 2021
- ...ields -1 when 2 is subtracted from it. By definition -1 is not prime. If {{Vn}} is negative then <math>(b^n±1)^2</math> is not necessarily an integer.8 KB (1,172 words) - 00:38, 6 July 2023
- ...s=For this {{Vk}}-value these are the [[Mersenne prime]]s. All exponents {{Vn}} < {{Num|63000000}} have been [https://www.mersenne.org/report_milestones/2 KB (288 words) - 11:41, 3 April 2023
- {{HistC|2021-06-17|5000000|Gary Barnes|581293}}, released, double-check for {{Vn}}=1000000-4230000, results included {{HistR|2009-01-10|Predrag Minovic|157931}}, range {{Vn}}=2210000-23660003 KB (264 words) - 22:08, 5 July 2023
- ...umber" class="fixhead"|Nash!!data-sort-type="number" class="fixhead"|Max {{Vn}},\n¦-,,\n¦}948 bytes (121 words) - 13:08, 21 July 2021
- {{HistR|2006-09-12|RPS K15 Drive|86959}} for {{Vn}} > 10000002 KB (252 words) - 13:29, 5 May 2024
- {{HistR|2011-12-31|NPLB Drive 12C}}, for 350001 ≤ {{Vn}} ≤ 425000 {{HistR|2010-03-26|NPLB Drive 12B}}, for 250001 ≤ {{Vn}} ≤ 3500003 KB (329 words) - 07:59, 17 August 2021
- {{HistR|2020-12-01|Tyler NeSmith|564907}}, for {{Vn}}>600000 {{HistR|2011-12-31|NPLB Drive 12C|284287}}, for 350001 ≤ {{Vn}} ≤ 4250002 KB (185 words) - 04:16, 5 May 2024
- ...is the highest {{Vn}} searched, however, there is a gap from 230000 ≤ {{Vn}} ≤ 1000000.1 KB (143 words) - 02:41, 5 November 2020
- |RRemarks=This sequence is independently searched only for {{Vn}}-values == 0 mod 7 of {{NRi|127|n}}.<br>See also {{NWi|MM|128|n}}3 KB (327 words) - 05:57, 19 April 2024
- |WiRemarks=Unknown status for 200000 ≤ {{Vn}} ≤ 263893.<br>The {{OEIS|l|A046867}}366 bytes (36 words) - 20:54, 31 July 2021
- {{HistC|2019-04-17|100000|Dylan Delgado}}, double checked {{Vn}} = 1-5000394 bytes (38 words) - 20:54, 31 July 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b-1)|b|n}}, least {{Vn}}-values}} Here are shown the least {{Vn}}-value ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 2049 which generate2 KB (211 words) - 07:40, 1 August 2021
- {{HistC|2022-07-22|[[GF_Divisor 12 20267499|GF Divisors]] for {{Vn}} = 20267499|Ryan Propper}} {{HistC|2020-10-12|[[GF_Divisor 7 18233956|GF Divisors]] for {{Vn}} = 18233956|Gary B. Gostin|559634}}2 KB (267 words) - 21:47, 5 July 2023
- |PRemarks=The {{OEIS|l|A002256}}<br>For all even {{Vn}}-values {{Kbn|+|9|2|n}} is a [[Generalized Fermat number]]. ...-01|4000000-9000000|PrimeGrid Fermat Divisor Search|P#8778#132715}}, odd {{Vn}}-values only3 KB (432 words) - 18:48, 9 April 2023
- {{HistC|1979|1500-4000|Gordon V. Cormack,Hugh C. Williams}}, missed {{Vn}}=15183 KB (390 words) - 10:00, 25 August 2021
- The restriction of {{Vn}}+2 > {{Vb}} should then be claimed, otherwise every prime could be called ...Wiki the primes of the forms {{Kbn|n|b|n}} are given with {{Vb}} ≥ 2, {{Vn}} ≥ 1 and listed as "Gen Woodall primes".1 KB (205 words) - 09:53, 13 March 2024
- ...able"\n!Base\n!max {{Vn}}\n!style="width:9%"¦Date\n!#\n!Primes for {{Vn}},,,\n¦}792 bytes (106 words) - 04:19, 19 April 2023
- {{HistR|2023-04-19|Ryan Propper|628813}} for 1000000≤{{Vn}}≤1600000 {{HistR|2023-04-01|Ryan Propper|627674}} for {{Vn}}≤1000000684 bytes (71 words) - 08:21, 30 April 2023
- The restriction of {{Vn}}+2 > {{Vb}} should then be claimed, otherwise every prime could be called ...ki the primes of the forms {{Kbn|+|n|b|n}} are given with {{Vb}} ≥ 2, {{Vn}} ≥ 1 and listed as "Cullen primes".2 KB (286 words) - 17:22, 7 May 2023
- ...ss="wikitable sortable"\n!Base\n!max {{Vn}}\n!Date\n!#\n!Primes for {{Vn}},,,\n¦}733 bytes (100 words) - 04:19, 19 April 2023
- {{HistR|2023-07-03|Mark Rodenkirch|633588}} to {{Vn}}=3000000697 bytes (65 words) - 18:55, 19 July 2023
- {{HistR|2023-04-28|Mark Rodenkirch|629610}} to {{Vn}}=500000849 bytes (85 words) - 19:15, 14 July 2023
- {{HistR|2023-04-28|Mark Rodenkirch|629610}} to {{Vn}}=500000407 bytes (42 words) - 19:18, 14 July 2023
- {{HistR|2023-04-28|Mark Rodenkirch|629610}} to {{Vn}}=500000848 bytes (88 words) - 18:59, 17 July 2023
- {{HistR|2023-04-28|Mark Rodenkirch|629610}} to {{Vn}}=500000532 bytes (56 words) - 19:23, 14 July 2023
- {{HistR|2021-08-30|Tanel Liiv|586845}}, for 150000<{{Vn}}<200000 {{HistR|2021-04-05|Tanel Liiv|575276}}, for 100000<{{Vn}}<150000882 bytes (79 words) - 08:41, 15 October 2021
- ...\n!style="width:9%"¦Last update\n!max {{Vn}}\n!#\n!Primes for {{Vn}},,,\n¦}460 bytes (65 words) - 23:05, 31 July 2021
- ...\n!style="width:9%"¦Last update\n!max {{Vn}}\n!#\n!Primes for {{Vn}},,,\n¦}462 bytes (65 words) - 08:05, 1 August 2021
- ...\n!style="width:9%"¦Last update\n!max {{Vn}}\n!#\n!Primes for {{Vn}},,,\n¦}458 bytes (65 words) - 14:02, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b-1)|b|n}}, least {{Vn}}-values}} Here are shown the least {{Vn}}-value ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 1024 which generate4 KB (457 words) - 11:14, 11 May 2024
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|(b+1)|b|n}}, least {{Vn}}-values}} Here are shown the least {{Vn}}-value ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 1024 which generate1 KB (161 words) - 13:57, 1 August 2021
- {{DISPLAYTITLE:Williams primes of the form {{Kbn|+|(b+1)|b|n}}, least {{Vn}}-values}} Here are shown the least {{Vn}}-value ≥ 1 for any base {{Vb}} with 2 ≤ {{Vb}} ≤ 1024 which generate2 KB (306 words) - 09:54, 7 September 2020
- |RRemarks=This sequence is not searched for {{Vn}}-values ≡ 0 mod 7 (see {{NRi|127|128|n}}).2 KB (184 words) - 22:47, 18 April 2024
- |WiRemarks=For all even {{Vn}}-values {{Kbn|+|361|362|n}} is a [[Generalized Fermat number]].294 bytes (35 words) - 09:13, 1 August 2021
- {{HistR|2013-04-02|Peter Benson|335820}} from {{Vn}}=1700000 {{HistR|2011-04-21|Peter Benson|259243}} from {{Vn}}=11300002 KB (224 words) - 06:12, 9 May 2024
- ...ry at [https://stdkmd.net/nrr/9/90001.htm Studio Kamada]<br>For all even {{Vn}}-values {{Kbn|+|9|10|n}} is a [[Generalized Fermat number]].1 KB (131 words) - 07:33, 23 April 2024
- {{HistR|2014-09-29|Dmitry Domanov|384078}} for {{Vn}}=5000000-6000000 {{HistR|2012-11-17|Peter Benson|318691}} from {{Vn}}=40000004 KB (357 words) - 23:04, 19 April 2024
- |WiRemarks=For all even {{Vn}}-values {{Kbn|+|16|17|n}} is a [[Generalized Fermat number]].397 bytes (41 words) - 08:25, 1 August 2021
- {{HistR|2006-05-03|RPS K17 Drive|79167}} for {{Vn}} > 2050002 KB (174 words) - 18:41, 5 May 2024
- {{HistR|2012-11-07|Dmitry Domanov|317364}} from {{Vn}}=19000003 KB (295 words) - 22:47, 5 July 2023
- *The highest {{Vn}}-value for all listed bases is {{Vn}} = 1000, otherwise the search range is given in brackets. ! data-sort-type="number" class="fixhead" | {{Vn}}-value {{#for_external_table:<nowiki/>962 bytes (137 words) - 07:42, 1 August 2021
- {{DISPLAYTITLE:Riesel primes of the form {{Kbn|k|b|n}}, least {{Vn}}-values}} Here are shown the least {{Vn}} ≥ 1 generating a [[Riesel prime]] of the form {{Kbn|k|b|n}} for 2 ≤6 KB (684 words) - 09:40, 17 March 2024
- {{HistR|2021-02-19|SRBase|572038}}, for 200000 ≤ {{Vn}} ≤ 300000 {{HistR|2015-04-27|SRBase|401036}}, for 50000 ≤ {{Vn}} ≤ 100000688 bytes (77 words) - 11:51, 11 May 2024
- {{HistR|2010-10-24|RPS Megabit Drive 1|234253}} for {{Vn}} > 1000000 {{HistR|2009-07-30|Borys Jaworski|183403}} from {{Vn}}=17000002 KB (222 words) - 06:13, 9 May 2024
- *The highest {{Vn}}-value for all listed bases is {{Vn}} = 1000, otherwise the search range is given in brackets. ! data-sort-type="number" class="fixhead" | {{Vn}}-value {{#for_external_table:<nowiki/>962 bytes (136 words) - 14:00, 1 August 2021
- *The highest {{Vn}}-value for all listed bases is {{Vn}} = 1000, otherwise the search range is given in brackets. ! data-sort-type="number" class="fixhead" | {{Vn}}-value {{#for_external_table:<nowiki/>966 bytes (138 words) - 08:03, 1 August 2021
- |WiRemarks=For all even {{Vn}}-values {{Kbn|+|36|37|n}} is a [[Generalized Fermat number]].350 bytes (36 words) - 08:36, 1 August 2021
- |WiRemarks=For all even {{Vn}}-values {{Kbn|+|49|50|n}} is a [[Generalized Fermat number]].292 bytes (31 words) - 08:42, 1 August 2021
- {{HistR|2011-04-28|RPS Megabit Drive 2|259814}} for {{Vn}} > 1000000 {{HistR|2009-07-30|Borys Jaworski|183403}} from {{Vn}}=10000002 KB (178 words) - 05:51, 9 May 2024
- {{HistR|2024-05-05|NPLB K300 Drive 1|655608}} for {{Vn}} > 2200000 {{HistR|2014-05-30|RPS Megabit Drive 3|374643}} for {{Vn}} > 14000001 KB (126 words) - 03:35, 6 May 2024
- {{HistR|2022-08-09|NPLB Drive 17|611081}}, for 2000000<{{Vn}}<3000000 {{HistR|2011-08-04|NPLB Drive 13|268266}}, for 1000000<{{Vn}}<20000002 KB (157 words) - 10:53, 5 April 2023
- {{HistR|2009-01-21|NPLB Drive 9D}}, for 350000 ≤ {{Vn}} ≤ 479264 {{HistR|2009-01-21|NPLB Drive 9C}}, for 200000 ≤ {{Vn}} ≤ 3500003 KB (249 words) - 13:48, 21 March 2023
- |WiRemarks=For all even {{Vn}}-values {{Kbn|+|121|122|n}} is a [[Generalized Fermat number]].276 bytes (33 words) - 08:48, 1 August 2021
- |WiRemarks=For all even {{Vn}}-values {{Kbn|+|256|257|n}} is a [[Generalized Fermat number]].276 bytes (33 words) - 08:52, 1 August 2021
- {{HistC|2007-08-28|350000|Gary Barnes|113080}}, double-check {{Vn}}=1-335000307 bytes (32 words) - 19:48, 12 August 2021
- Here are shown the least {{Vk}}-values ≥ 1 for any 1 ≤ {{Vn}} ≤ 16999 such that {{Kbn|k|n}} and {{Kbn|+|k|n}} are simultaneously prim ! data-sort-type="number" class="fixhead" | {{Vn}}-value993 bytes (142 words) - 09:00, 28 May 2021
- ...r [[No Prime Left Behind]]. We will be searching all {{Vk}}=600-1001 for {{Vn}}=2000000-3000000. *[[:Multi Reservation:3|Here]]: The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:3-NMax}}}} as of {{Multi Reserv656 bytes (82 words) - 21:59, 23 January 2023
- |RRemarks=Available sieve file: {{Vn}}=1M-1.5M, {{V|P}}=4T, {{Num|4978}} candidates679 bytes (81 words) - 21:10, 17 December 2023
- ! No. !! {{Vn}} !! Digits !! Number !! Normalized form !! Discoverer !! Date3 KB (313 words) - 16:51, 31 August 2021
- {{HistR|2012-04-01|Peter Benson|295071}} from {{Vn}}=30000002 KB (193 words) - 13:12, 21 August 2023
- {{HistC|2021-07-24|3500000|Gary Barnes|583897}}, released, double-check for {{Vn}}=1000000-2890000, results included3 KB (285 words) - 08:15, 7 May 2024
- {{HistR|2012-10-03|Peter Benson|313473}} from {{Vn}}=1500000972 bytes (97 words) - 22:13, 18 October 2021
- {{HistR|2010-03-14|Dmitry Domanov|208369}} from {{Vn}}=20000001 KB (105 words) - 23:07, 22 November 2021
- {{HistR|2014-08-12|RPS Megabit Drive 1|380231}} for {{Vn}} > 2520000 {{HistR|2009-01-10|Predrag Minovic|157931}} for {{Vn}}=1465000-15500002 KB (238 words) - 13:33, 5 May 2024
- {{HistR|?|PrimeGrid Generalized Cullen Prime Search}} for {{Vn}} ≥ 999941322 bytes (35 words) - 07:32, 15 May 2023
- {{HistR|2014-08-12|RPS Megabit Drive 1|380231}} for {{Vn}} > 2500000 only {{Vn}} != 1 mod 10 {{HistC|2014-07-30|6700000|Serge Batalov|379365}} only {{Vn}} == 1 mod 10, released2 KB (188 words) - 13:33, 5 May 2024
- {{HistC|2013-10-02|Skipped {{Vn}}=1263000-1700000|Larry Soule|354990}}2 KB (202 words) - 11:02, 19 March 2024
- {{HistR|2014-03-01|Serge Batalov|368074}} for {{Vn}}=3000000-4000000 {{HistR|2012-12-28|Thomas Ritschel|322916}} from {{Vn}}=17000002 KB (149 words) - 14:30, 19 April 2024
- {{HistC|2008-03-15|1200000|Michael Curtis|128865}}, (Sheep) tested {{Vn}}=1100000-12000003 KB (310 words) - 19:32, 19 July 2023
- {{HistR|2011-01-26|RPS Megabit Drive 1|249266}} for {{Vn}} > 1000000 {{HistR|2004-07-26|Steven Harvey|35909}} from {{Vn}}=2000001 KB (118 words) - 02:40, 12 May 2024
- {{HistR|2010-12-06|David Metcalfe|240330}} from {{Vn}}=14000003 KB (317 words) - 10:28, 15 July 2021
- {{HistR|2010-10-24|RPS Megabit Drive 1|234253}} for {{Vn}} > 1000000 {{HistR|2010-10-19|Peter Riesen|233903}} from {{Vn}}=25000002 KB (219 words) - 13:33, 5 May 2024
- {{HistR|2011-01-26|RPS Megabit Drive 1|249266}} for {{Vn}} > 10000001 KB (133 words) - 13:33, 5 May 2024
- {{HistR|2012-12-27|Predrag Minovic|322867}} from {{Vn}}=1410000 {{HistR|2010-11-19|Borys Jaworski|237844}} from {{Vn}}=13000002 KB (226 words) - 08:15, 7 May 2024
- {{HistR|2010-10-24|RPS Megabit Drive 1|234253}} for {{Vn}} > 1000000 {{HistR|2009-07-30|Borys Jaworski|183403}} from {{Vn}}=17000002 KB (224 words) - 02:42, 12 May 2024