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(sieve corr.)
(standardize format of drive)
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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 {{Vk}} ≤ 300 and {{Vn}} > 1000000.
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The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} ≤ 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: ongoing
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*2010-10-24
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*{{Vk}}-values:
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 +
==Ended==
 +
*ongoing
 +
 
 +
=={{Vk}}-values==
 
:'''2010-10-24''': {{Vk}} = 51, 57, 61, 65, 69, 87 for {{Vn}} > {{Num|1000000}}
 
:'''2010-10-24''': {{Vk}} = 51, 57, 61, 65, 69, 87 for {{Vn}} > {{Num|1000000}}
 
:'''2011-01-26''': adding {{Vk}} = 47, 53 for {{Vn}} > {{Num|1000000}}
 
:'''2011-01-26''': adding {{Vk}} = 47, 53 for {{Vn}} > {{Num|1000000}}
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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}} ≥ {{Num|2550223}}, and {{Vk}} = 111 for {{Vn}} ≥ {{Num|2601487}}
 
:'''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}} ≥ {{Num|2550223}}, and {{Vk}} = 111 for {{Vn}} ≥ {{Num|2601487}}
 
:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
 
:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
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*{{Vn}}-values:
 
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:{{Vn}} > 1000000
 
  
 
==Sieve file==
 
==Sieve file==
Line 18: Line 20:
  
 
==Data table==
 
==Data table==
 +
Number of candidates for {{Vn}} ≤ 3100000.
 +
{| class="wikitable"
 +
! {{Vk}}-value !! [[Nash weight|Nash]] !! Candidates !! {{Vn}}-range || prime(s) for {{Vn}}
 +
|-
 +
| [[Riesel prime 2 35|35]] || {{GP|Riesel prime 2 35|RNash}} || 12517 || 2520000 - ||
 +
|-
 +
| [[Riesel prime 2 37|37]] x || {{GP|Riesel prime 2 37|RNash}} || 5303 || 2500000 - ||
 +
|-
 +
| [[Riesel prime 2 47|47]] || {{GP|Riesel prime 2 47|RNash}} || 33673 || 1000000 - || 1025950
 +
|-
 +
| [[Riesel prime 2 51|51]] || {{GP|Riesel prime 2 51|RNash}} || 40591 || 1000000 - 2500000 || 1026910, 1027635, 1231665
 +
|-
 +
| [[Riesel prime 2 53|53]] || {{GP|Riesel prime 2 53|RNash}} || 46485 || 1000000 - || 1632590
 +
|-
 +
| [[Riesel prime 2 57|57]] || {{GP|Riesel prime 2 57|RNash}} || 94011 || 1000000 - || 1098272, 1110980, 1486214, 2103370, 2639528, 3093440
 +
|-
 +
| [[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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| [[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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| [[Riesel prime 2 103|103]] || {{GP|Riesel prime 2 103|RNash}} || 12918 || 2550223 - ||
 +
|-
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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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:[[Riesel prime 2 35|35]] [0]: -
 
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:[[Riesel prime 2 37|37]] [0]: -
 
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:[[Riesel prime 2 47|47]] [1]: 1025950
 
−
:[[Riesel prime 2 51|51]] [3]: 1026910, 1027635, 1231665
 
−
:[[Riesel prime 2 53|53]] [1]: 1632590
 
−
:[[Riesel prime 2 57|57]] [6]: 1098272, 1110980, 1486214, 2103370, 2639528, 3093440
 
−
:[[Riesel prime 2 61|61]] [8]: 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
 
−
:[[Riesel prime 2 65|65]] [7]: 1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
 
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:[[Riesel prime 2 69|69]] [5]: 1473217, 1566375, 2174213, 2410035, 2428251
 
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:[[Riesel prime 2 87|87]] [7]: 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
 
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:[[Riesel prime 2 103|103]] [0]: -
 
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:[[Riesel prime 2 111|111]] [1]: 3060238
 
 
==Range history==
 
==Range history==
 +
 +
==External Links==
 +
*[https://www.mersenneforum.org/showthread.php?t=14087 Thread] at [[MersenneForum]]
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
 
[[Category:RPS Megabit Drive 1| ]]
 
[[Category:RPS Megabit Drive 1| ]]

Revision as of 04:35, 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, 291,383 candidates).

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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