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__NOTOC__{{Stub}}
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__NOTOC__
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==Purpose==
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==Overview==
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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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{{Infobox Drive
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|DRProject=Riesel Prime Search
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==Started==
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|DRName=RPS Megabit Drive 1
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*2010-10-24
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|DRPurpose=Search for Riesel primes for {{Vk}} < 300 from {{Rn|1000000|1000000}}
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|DRMultiRes=
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==Ended==
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|DRStatus=
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*ongoing
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|DRStart=2010-10-24
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|DREnd=2020-11-12
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=={{Vk}}-values==
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|DRkvalues=35 - 111
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:'''2010-10-24''': {{Vk}} = 51, 57, 61, 65, 69, 87 for {{Vn}} > {{Num|1000000}}
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|DRnrange=1000000 - 3100000
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:'''2011-01-26''': adding {{Vk}} = 47, 53 for {{Vn}} > {{Num|1000000}}
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|DRCandidates=
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:'''2014-08-12''': removing {{Vk}} = 51, 69 for {{Vn}} > {{Num|2500000}}
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|DRSieve=
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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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|DRPrimes=39 new
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:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
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|DRLink=[https://www.mersenneforum.org/node/10230#post10230 MersenneForum]
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}}
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==Sieve file==
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==={{Vk}}-history===
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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).
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:'''2010-10-24''': {{Vk}} = 51, 57, 61, 65, 69, 87 from {{Rn|1000000|1000000}}
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:'''2011-01-26''': adding {{Vk}} = 47, 53 from {{Rn|1000000|1000000}}
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==Multi Reservation==
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:'''2014-08-12''': removing {{Vk}} = 51, 69 from {{Rn|2500000|2500000}}
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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}}.
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:'''2014-08-12''': adding {{Vk}} = 35 from {{Rn|2520000|2520000}}, {{Vk}} = 37 from {{Rn|2500000|2500000}} only {{Vn}} != 1 mod 10, {{Vk}} = 103 from {{Rn|2550223|2550223}}, and {{Vk}} = 111 from {{Rn|2601487|2601487}}
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:'''All for drive''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
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==Data table==
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==={{Vn}}-history===
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Number of candidates for {{Vn}} &le; 3100000.
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*{{Vn}}-values: {{Rn|1000000|3100000}}
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{| class="wikitable"
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===Sieve history===
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! {{Vk}}-value !! [[Nash weight|Nash]] !! Candidates !! {{Vn}}-range || prime(s) for {{Vn}}
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===Reservation history===
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|-
 
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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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|-
 
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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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==Range history==
 
 
The data file can be found <b>[[:File:RPS_Megabit_Drive_1.csv|here]]</b>.
 
The data file can be found <b>[[:File:RPS_Megabit_Drive_1.csv|here]]</b>.
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Notes:
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Note: To identify a post of the MersennForum thread the date and post number are given.
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*To identify a post of the MersenneForum thread the date and post number are given.
 +
*If a post number is given with '1' there's no information from the thread, so the first post is used.
 
{{#get_web_data:url=https://www.rieselprime.de/z/images/a/a5/RPS_Megabit_Drive_1.csv|format=csv with header|delimiter=;|data=range=range,cand=cand,contr=contr,dat1=dat1,post1=post1,id1=id1,dat2=dat2,post2=post2,id2=id2}}
 
{{#get_web_data:url=https://www.rieselprime.de/z/images/a/a5/RPS_Megabit_Drive_1.csv|format=csv with header|delimiter=;|data=range=range,cand=cand,contr=contr,dat1=dat1,post1=post1,id1=id1,dat2=dat2,post2=post2,id2=id2}}
 
<div style="width:100%; height:auto; overflow:200px;">
 
<div style="width:100%; height:auto; overflow:200px;">
 
{| class="wikitable sortable" style="height: auto"
 
{| class="wikitable sortable" style="height: auto"
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! data-sort-type="text" class="fixhead" | Range
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! data-sort-type="text" class="fixhead" | Range (''kByte'')
 
! data-sort-type="text" class="fixhead" | #cand.
 
! data-sort-type="text" class="fixhead" | #cand.
 
! data-sort-type="text" class="fixhead" | Contributor
 
! data-sort-type="text" class="fixhead" | Contributor
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{{!}} style="text-align:center" {{!}} {{{range}}}
 
{{!}} style="text-align:center" {{!}} {{{range}}}
 
{{!}} style="text-align:right" {{!}} {{{cand}}}
 
{{!}} style="text-align:right" {{!}} {{{cand}}}
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{{!}} style="text-align:left" {{!}} {{{contr}}}
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{{!}} style="text-align:left" {{!}} {{Contribs|{{{contr}}}}}
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{{!}} style="text-align:center" {{!}} {{HistLink|{{{dat1}}}|0{{{id1}}}}} ({{{post1}}})
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{{!}} style="text-align:center" {{!}} <span class=plainlinks>[https://www.mersenneforum.org/showpost.php?p={{{id1}}} {{{dat1}}}]</span> ({{{post1}}})
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{{!}} style="text-align:center" {{!}} {{HistLink|{{{dat2}}}|0{{{id2}}}}} ({{{post2}}})
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{{!}} style="text-align:center" {{!}} <span class=plainlinks>[https://www.mersenneforum.org/showpost.php?p={{{id2}}} {{{dat2}}}]</span> ({{{post2}}})
 +
}}
 +
|}</div>
 +
===Primes table===
 +
The data file can be found [[:File:RPS Megabit Drive 1 k-values.csv|here]].
 +
{{#get_web_data:url=https://www.rieselprime.de/z/images/7/75/RPS_Megabit_Drive_1_k-values.csv|format=csv with header|delimiter=;|data=k=k,nash=nash,cand=cand,range=range,count=count,n=n}}
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<div style="width:60em; height:610px; overflow:auto;">
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{| class="wikitable sortable" style="height: auto"
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! data-sort-type="number" class="fixhead" | {{Vk}}-value
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! data-sort-type="number" class="fixhead" | [[Nash weight|Nash]]
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! data-sort-type="number" class="fixhead" | Candidates
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! data-sort-type="text" class="fixhead" | {{Vn}}-range(s)
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! data-sort-type="number" class="fixhead" | # primes
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! data-sort-type="text" class="fixhead" | prime(s) for {{Vn}}
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{{#for_external_table:<nowiki/>
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{{!}}-
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{{!}} style="text-align:right" {{!}} [[Riesel prime 2 {{{k}}}|{{{k}}}]]
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{{!}} style="text-align:right" {{!}} {{{nash}}}
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{{!}} style="text-align:right" {{!}} {{{cand}}}
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{{!}} style="text-align:right" {{!}} {{{range}}}
 +
{{!}} style="text-align:right" {{!}} {{{count}}}
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{{!}} style="text-align:left" {{!}} {{{n}}}
 
}}
 
}}
 
|}</div>
 
|}</div>
 +
''**'': Only {{Vn}} != 1 mod 10 was searched.
  
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==External Links==
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===Notes===
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*[https://www.mersenneforum.org/showthread.php?t=14087 Thread] at [[MersenneForum]]
 
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
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[[Category:RPS Megabit Drive 1| ]]
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[[Category:Riesel Prime Search|Megabit Drive 1]]

Latest revision as of 06:41, 28 April 2025

Overview

RPS Megabit Drive 1 - This drive is done.
Project Riesel Prime Search
Drive name RPS Megabit Drive 1
Purpose Search for Riesel primes for k < 300 from n = 1000000
Date start 2010-10-24
Date end 2020-11-12
k-values 35 - 111
n-range 1000000 - 3100000
Primes found 39 new
Link MersenneForum

k-history

2010-10-24: k = 51, 57, 61, 65, 69, 87 from n = 1000000
2011-01-26: adding k = 47, 53 from n = 1000000
2014-08-12: removing k = 51, 69 from n = 2500000
2014-08-12: adding k = 35 from n = 2520000, k = 37 from n = 2500000 only n != 1 mod 10, k = 103 from n = 2550223, and k = 111 from n = 2601487
All for drive k = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111

n-history

  • n-values: n = 1000000 - 3100000

Sieve history

Reservation history

The data file can be found here. Notes:

  • To identify a post of the MersenneForum thread the date and post number are given.
  • If a post number is given with '1' there's no information from the thread, so the first post is used.
Range (kByte) #cand. Contributor Reserved Done

1000-1003 963 Predrag Minovic 2010-10-24 (2) 2010-11-07 (22)

Primes table

The data file can be found here.

k-value Nash Candidates n-range(s) # primes prime(s) for n

35 1264 2520000-3100000 0
37 630 2500000-3100000** 0
47 922 1000000-1653000, 1692000-3100000 1 1025950
51 1550 1000000-1620000, 1687162-2500000 3 1026910, 1027635, 1231665
53 1368 1000000-1653000, 1684000-3100000 1 1632590
57 2672 1000000-1620000, 1679288-3100000 6 1098272, 1110980, 1486214, 2103370, 2639528, 3093440
61 2170 1000000-1620000, 1674483-3100000 8 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
65 2034 1000000-1620000, 1669972-3100000 7 1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
69 3438 1000000-1620000, 1665716-2500000 5 1473217, 1566375, 2174213, 2410035, 2428251
87 2839 1000000-1620000, 1652000-3100000 7 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
103 1373 2550223-3100000 0
111 2954 2601487-3100000 1 3060238

**: Only n != 1 mod 10 was searched.

Notes

Riesel Prime Search
Retrieved from "https://www.rieselprime.de/z/index.php?title=RPS_Megabit_Drive_1&oldid=39134"