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(correct sieve to remove k=37 n==1 mod 10 terms)
 
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{{Stub}}
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__NOTOC__{{Stub}}
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*Name: [[Riesel Prime Search]] 1st Megabit Drive
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==Purpose==
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*Purpose: The goal of this drive is to search for primes of the form {{Kbn|k|n}} for k=<300 and n>1000000.
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The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} &le; 300 and {{Vn}} > 1000000.
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*Link: [https://www.mersenneforum.org/showthread.php?t=14087 Mersenne Forum]
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*Started:2010-10-24
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==Started==
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*Ended
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*2010-10-24
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*k-values:
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:35, 37, 47, 53, 57, 61, 65, 87, 103, 111
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==Ended==
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*n-values:  
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*ongoing
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:n > 1000000
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 +
=={{Vk}}-values==
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:'''2010-10-24''': {{Vk}} = 51, 57, 61, 65, 69, 87 for {{Vn}} > {{Num|1000000}}
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:'''2011-01-26''': adding {{Vk}} = 47, 53 for {{Vn}} > {{Num|1000000}}
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:'''2014-08-12''': removing {{Vk}} = 51, 69 for {{Vn}} > {{Num|2500000}}
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:'''2014-08-12''': adding {{Vk}} = 35 for {{Vn}} > {{Num|2520000}}, {{Vk}} = 37 for {{Vn}} > {{Num|2500000}} only {{Vn}} != 1 mod 10, {{Vk}} = 103 for {{Vn}} &ge; {{Num|2550223}}, and {{Vk}} = 111 for {{Vn}} &ge; {{Num|2601487}}
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:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
 +
 
 +
==Sieve file==
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Sieve file for {{Num|3000000}} < {{Vn}} < {{Num|4000000}} available <b>[[:File:RPS Megabit Drive 1 sieve.zip|here]]</b> (LLR-format, {{Num|290225}} candidates).
 +
 
 +
==Multi Reservation==
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*[[:Multi Reservation:4|Here]]: The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:4-NMax}}}} as of {{Multi Reservation:4-Date}}.
  
 
==Data table==
 
==Data table==
 +
Number of candidates for {{Vn}} &le; 3100000.
 +
{| class="wikitable"
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! {{Vk}}-value !! [[Nash weight|Nash]] !! Candidates !! {{Vn}}-range || prime(s) for {{Vn}}
 +
|-
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| [[Riesel prime 2 35|35]] || {{GP|Riesel prime 2 35|RNash}} || 12517 || 2520000 - ||
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|-
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| [[Riesel prime 2 37|37]] x || {{GP|Riesel prime 2 37|RNash}} || 5303 || 2500000 - ||
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|-
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| [[Riesel prime 2 47|47]] || {{GP|Riesel prime 2 47|RNash}} || 33673 || 1000000 - || 1025950
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|-
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| [[Riesel prime 2 51|51]] || {{GP|Riesel prime 2 51|RNash}} || 40591 || 1000000 - 2500000 || 1026910, 1027635, 1231665
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|-
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| [[Riesel prime 2 53|53]] || {{GP|Riesel prime 2 53|RNash}} || 46485 || 1000000 - || 1632590
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|-
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| [[Riesel prime 2 57|57]] || {{GP|Riesel prime 2 57|RNash}} || 94011 || 1000000 - || 1098272, 1110980, 1486214, 2103370, 2639528, 3093440
 +
|-
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| [[Riesel prime 2 61|61]] || {{GP|Riesel prime 2 61|RNash}} || 79949 || 1000000 - || 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
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|-
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| [[Riesel prime 2 65|65]] || {{GP|Riesel prime 2 65|RNash}} || 71164 || 1000000 - || 1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
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|-
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| [[Riesel prime 2 69|69]] || {{GP|Riesel prime 2 69|RNash}} || 87057 || 1000000 - 2500000 || 1473217, 1566375, 2174213, 2410035, 2428251
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|-
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| [[Riesel prime 2 87|87]] || {{GP|Riesel prime 2 87|RNash}} || 101880 || 1000000 - || 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
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|-
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| [[Riesel prime 2 103|103]] || {{GP|Riesel prime 2 103|RNash}} || 12918 || 2550223 - ||
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|-
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| [[Riesel prime 2 111|111]] || {{GP|Riesel prime 2 111|RNash}} || 24336 || 2601487 - || 3060238
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|}
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x - Only n != 1 mod 10 is searched.
  
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==Found primes==
 
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:47 [1]: 1025950
 
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:51 [3]: 1026910, 1027635, 1231665
 
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:53 [1]: 1632590
 
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:57 [6]: 1098272, 1110980, 1486214, 2103370, 2639528, ... 3339932
 
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:61 [8]: 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
 
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:65 [6]: 1374574, 1421088, 1505640, 2450614, 2583720, 2876718
 
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:69 [6]: 1473217, 1566375, 2174213, 2410035, 2428251, 2649939
 
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:87 [7]: 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
 
 
==Range history==
 
==Range history==
  
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[[Category:RPS 1st Megabit Drive| ]]
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==External Links==
 +
*[https://www.mersenneforum.org/showthread.php?t=14087 Thread] at [[MersenneForum]]
 +
 
 +
{{Navbox Riesel Prime Search}}
 +
[[Category:RPS Megabit Drive 1| ]]

Latest revision as of 19:45, 7 May 2024

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Purpose

The goal of this drive is to search for primes of the form k•2n-1 for k ≤ 300 and n > 1000000.

Started

  • 2010-10-24

Ended

  • ongoing

k-values

2010-10-24: k = 51, 57, 61, 65, 69, 87 for n > 1,000,000
2011-01-26: adding k = 47, 53 for n > 1,000,000
2014-08-12: removing k = 51, 69 for n > 2,500,000
2014-08-12: adding k = 35 for n > 2,520,000, k = 37 for n > 2,500,000 only n != 1 mod 10, k = 103 for n ≥ 2,550,223, and k = 111 for n ≥ 2,601,487
currently k = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111

Sieve file

Sieve file for 3,000,000 < n < 4,000,000 available here (LLR-format, 290,225 candidates).

Multi Reservation

  • Here: The current nmax = 3,100,000 as of 2020-11-12.

Data table

Number of candidates for n ≤ 3100000.

k-value Nash Candidates n-range prime(s) for n
35 1264 12517 2520000 -
37 x 630 5303 2500000 -
47 922 33673 1000000 - 1025950
51 1550 40591 1000000 - 2500000 1026910, 1027635, 1231665
53 1368 46485 1000000 - 1632590
57 2672 94011 1000000 - 1098272, 1110980, 1486214, 2103370, 2639528, 3093440
61 2170 79949 1000000 - 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
65 2034 71164 1000000 - 1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
69 3438 87057 1000000 - 2500000 1473217, 1566375, 2174213, 2410035, 2428251
87 2839 101880 1000000 - 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
103 1373 12918 2550223 -
111 2954 24336 2601487 - 3060238

x - Only n != 1 mod 10 is searched.

Range history

External Links

Riesel Prime Search
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