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{{Stub}}
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__NOTOC__
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*Name: [[Riesel Prime Search]] 1st Megabit Drive
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==Overview==
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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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{{Infobox Drive
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*Link: [https://www.mersenneforum.org/showthread.php?t=14087 Mersenne Forum]
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|DRProject=Riesel Prime Search
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*Started: 2010-10-24
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|DRName=RPS Megabit Drive 1
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*Ended: ongoing
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|DRPurpose=Search for Riesel primes for {{Vk}} < 300 from {{Rn|1000000|1000000}}
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*{{Vk}}-values:
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|DRMultiRes=
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:'''2010-10-24''': {{Vk}} = 51, 57, 61, 65, 69, 87 for {{Vn}} > {{Num|1000000}}
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|DRStatus=
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:'''2011-01-26''': adding {{Vk}} = 47, 53 for {{Vn}} > {{Num|1000000}}
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|DRStart=2010-10-24
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:'''2014-08-12''': removing {{Vk}} = 51, 69 for {{Vn}} > {{Num|2500000}}
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|DREnd=2020-11-12
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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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|DRkvalues=35 - 111
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:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
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|DRnrange=1000000 - 3100000
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*{{Vn}}-values:
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|DRCandidates=
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:{{Vn}} > 1000000
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|DRSieve=
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|DRPrimes=39 new
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|DRLink=[https://www.mersenneforum.org/showthread.php?t=14087 Thread] at [[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 [[:File:RPS 1st Megabit Drive sieve.zip|here]] (LLR-format, {{Num|291383}} 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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:'''2014-08-12''': removing {{Vk}} = 51, 69 from {{Rn|2500000|2500000}}
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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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*{{Rn|1000000|3100000}}
  
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==Found primes==
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===Sieve history===
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:47 [1]: 1025950
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===Reservation history===
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:51 [3]: 1026910, 1027635, 1231665
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The data file can be found <b>[[:File:RPS_Megabit_Drive_1.csv|here]]</b>.
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:53 [1]: 1632590
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Notes:
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:57 [7]: 1098272, 1110980, 1486214, 2103370, 2639528, 3093440, ... 3339932
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*To identify a post of the MersenneForum thread the date and post number are given.
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:61 [8]: 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
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*If a post number is given with '1' there's no information from the thread, so the first post is used.
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:65 [7]: 1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
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{{#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}}
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:69 [5]: 1473217, 1566375, 2174213, 2410035, 2428251
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<div style="width:100%; height:auto; overflow:200px;">
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:87 [7]: 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
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{| class="wikitable sortable" style="height: auto"
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:111 [1]: 3060238
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! data-sort-type="text" class="fixhead" | Range (''kByte'')
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==Range history==
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! data-sort-type="text" class="fixhead" | #cand.
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! data-sort-type="text" class="fixhead" | Contributor
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! data-sort-type="isoDate" class="fixhead" | Reserved
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! data-sort-type="isoDate" class="fixhead" | Done
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{{#for_external_table:<nowiki/>
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{{!}}-
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{{!}} style="text-align:center" {{!}} {{{range}}}
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{{!}} style="text-align:right" {{!}} {{{cand}}}
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{{!}} style="text-align:left" {{!}} {{Contribs|{{{contr}}}}}
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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" {{!}} <span class=plainlinks>[https://www.mersenneforum.org/showpost.php?p={{{id2}}} {{{dat2}}}]</span> ({{{post2}}})
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}}
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|}</div>
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 +
===Primes table===
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The data file can be found [[:File:RPS Megabit Drive 1 k-values.csv|here]].
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{{#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}}}
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{{!}} style="text-align:right" {{!}} {{{count}}}
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{{!}} style="text-align:left" {{!}} {{{n}}}
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}}
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|}</div>
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''**'': Only {{Vn}} != 1 mod 10 is searched.
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 +
===Notes===
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
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[[Category:RPS 1st Megabit Drive| ]]
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[[Category:Riesel Prime Search|Megabit Drive 1]]

Latest revision as of 20:36, 3 March 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 Thread at 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 = 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 is searched.

Notes

Riesel Prime Search
Retrieved from "https://www.rieselprime.de/z/index.php?title=RPS_Megabit_Drive_1&oldid=37951"