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(add k-table & remove hard-coded data table)
 
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__NOTOC__{{Stub}}
 
__NOTOC__{{Stub}}
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==Overview==
 
{{Infobox Drive
 
{{Infobox Drive
 
|DRProject=Riesel Prime Search
 
|DRProject=Riesel Prime Search
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===Primes table===
 
===Primes table===
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Number of candidates for {{Vn}} ≤ 3100000.
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The data file can be found [[:File:RPS Megabit Drive 1 k-values.csv|here]].
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{| class="wikitable"
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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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! {{Vk}}-value !! [[Nash weight|Nash]] !! Candidates !! {{Vn}}-range || prime(s) for {{Vn}}
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<div style="width:60em; height:610px; overflow:auto;">
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|-
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{| class="wikitable sortable" style="height: auto"
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| [[Riesel prime 2 35|35]] || {{GP|Riesel prime 2 35|RNash}} || 12517 || 2520000 - ||
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! data-sort-type="number" class="fixhead" | {{Vk}}-value
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|-
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! data-sort-type="number" class="fixhead" | [[Nash weight|Nash]]
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| [[Riesel prime 2 37|37]] {{C|red|<b>#</b>}} || {{GP|Riesel prime 2 37|RNash}} || 5303 || 2500000 - ||
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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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| [[Riesel prime 2 47|47]] || {{GP|Riesel prime 2 47|RNash}} || 33673 || 1000000 - || 1025950
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! data-sort-type="number" class="fixhead" | # primes
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|-
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! data-sort-type="text" class="fixhead" | prime(s) for {{Vn}}
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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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{{#for_external_table:<nowiki/>
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|-
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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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{{!}} style="text-align:right" {{!}} [[Riesel prime 2 {{{k}}}|{{{k}}}]]
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|-
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{{!}} style="text-align:right" {{!}} {{{nash}}}
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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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{{!}} style="text-align:right" {{!}} {{{cand}}}
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|-
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{{!}} style="text-align:right" {{!}} {{{range}}}
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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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{{!}} style="text-align:right" {{!}} {{{count}}}
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|-
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{{!}} style="text-align:left" {{!}} {{{n}}}
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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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|-
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|}</div>
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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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''**'': Only {{Vn}} != 1 mod 10 is searched.
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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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| [[Riesel prime 2 111|111]] || {{GP|Riesel prime 2 111|RNash}} || 24336 || 2601487 - || 3060238
 
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|}
 
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{{C|red|<b>#</b>}}: Only {{Vn}} != 1 mod 10 is searched.
 
  
 
===Notes===
 
===Notes===

Latest revision as of 08:07, 30 July 2024

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Overview

RPS Megabit Drive 1 - Ongoing
Project Riesel Prime Search
Drive name RPS Megabit Drive 1
Purpose Search for Riesel primes for k < 300 and n > 1000000
Current status Multi Reservation 4: The current nmax = 3,100,000 as of 2020-11-12
Date start 2010-10-24
k-values 35 - 111
n-range 1000000 -
Sieve File:RPS Megabit Drive 1 sieve.zip
Primes found 39 new
Link Thread at MersenneForum

k-history

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

n-history

Sieve history

Reservation history

The data file can be found here. Notes:

  • To identify a post of the MersennForum 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 instead.
Range (kByte) #cand. Contributor Reserved Done

1000-1003 963 Predrag Minovic [Expression error: Unrecognized punctuation character "{". 2010-10-24] (2) [Expression error: Unrecognized punctuation character "{". 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- 0
37 630 2500000- ** 0
47 922 1000000-1653000, 1692000- 1 1025950
51 1550 1000000-1620000, 1687162-2500000 3 1026910, 1027635, 1231665
53 1368 1000000-1653000, 1684000- 1 1632590
57 2672 1000000-1620000, 1679288- 6 1098272, 1110980, 1486214, 2103370, 2639528, 3093440
61 2170 1000000-1620000, 1674483- 8 1124049, 1416365, 1487125, 1734983, 2134577, 2381887, 2580689, 2936967
65 2034 1000000-1620000, 1669972- 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- 7 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
103 1373 2550223- 0
111 2954 2601487- 1 3060238

**: Only n != 1 mod 10 is searched.

Notes

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

Riesel Prime Search
Retrieved from "https://www.rieselprime.de/z/index.php?title=RPS_Megabit_Drive_1&oldid=34058"