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(table changes)
(add k-table & remove hard-coded data table)
 
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__NOTOC__{{Stub}}
 
__NOTOC__{{Stub}}
−
==Purpose==
+
==Overview==
−
The goal of this drive is to search for primes of the form {{Kbn|k|n}} for {{Vk}} ≤ 300 and {{Vn}} > 1000000.
+
{{Infobox Drive
−
 
+
|DRProject=Riesel Prime Search
−
==Started==
+
|DRName=RPS Megabit Drive 1
−
*2010-10-24
+
|DRPurpose=Search for Riesel primes for {{Vk}} < 300 and {{Vn}} > 1000000
−
 
+
|DRMultiRes=4
−
==Ended==
+
|DRStatus=
−
*ongoing
+
|DRStart=2010-10-24
 +
|DREnd=
 +
|DRkvalues=35 - 111
 +
|DRnrange=1000000 -
 +
|DRCandidates=
 +
|DRSieve=RPS Megabit Drive 1 sieve.zip
 +
|DRPrimes=39 new
 +
|DRLink=[https://www.mersenneforum.org/showthread.php?t=14087 Thread] at [[MersenneForum]]
 +
}}
  
−
=={{Vk}}-values==
+
==={{Vk}}-history===
 
:'''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}}
Line 16: Line 24:
 
:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
 
:'''currently''' {{Vk}} = 35, 37, 47, 53, 57, 61, 65, 87, 103, 111
  
−
==Sieve file==
+
==={{Vn}}-history===
−
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==
+
===Sieve history===
−
*[[:Multi Reservation:4|Here]]: The current {{Vn}}<sub>max</sub> = {{Num|{{Multi Reservation:4-NMax}}}} as of {{Multi Reservation:4-Date}}.
+
===Reservation history===
−
 
 
−
==Data table==
 
−
Number of candidates for {{Vn}} &le; 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
 
−
|-
 
−
| [[Riesel prime 2 65|65]] || {{GP|Riesel prime 2 65|RNash}} || 71164 || 1000000 - || 1374574, 1421088, 1505640, 2450614, 2583720, 2876718, 3080952
 
−
|-
 
−
| [[Riesel prime 2 69|69]] || {{GP|Riesel prime 2 69|RNash}} || 87057 || 1000000 - 2500000 || 1473217, 1566375, 2174213, 2410035, 2428251
 
−
|-
 
−
| [[Riesel prime 2 87|87]] || {{GP|Riesel prime 2 87|RNash}} || 101880 || 1000000 - || 1089098, 1120006, 1332741, 1358189, 1616138, 1852590, 2518122
 
−
|-
 
−
| [[Riesel prime 2 103|103]] || {{GP|Riesel prime 2 103|RNash}} || 12918 || 2550223 - ||
 
−
|-
 
−
| [[Riesel prime 2 111|111]] || {{GP|Riesel prime 2 111|RNash}} || 24336 || 2601487 - || 3060238
 
−
|}
 
−
 
 
−
x - Only n != 1 mod 10 is searched.
 
−
 
 
−
==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>.
−
 
 
Notes:
 
Notes:
 
*To identify a post of the MersennForum thread the date and post  number are given.
 
*To identify a post of the MersennForum thread the date and post  number are given.
Line 78: Line 50:
 
|}</div>
 
|}</div>
  
−
==External Links==
+
===Primes table===
−
*[https://www.mersenneforum.org/showthread.php?t=14087 Thread] at [[MersenneForum]]
+
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}}
 +
<div style="width:60em; height:610px; overflow:auto;">
 +
{| class="wikitable sortable" style="height: auto"
 +
! data-sort-type="number" class="fixhead" | {{Vk}}-value
 +
! data-sort-type="number" class="fixhead" | [[Nash weight|Nash]]
 +
! data-sort-type="number" class="fixhead" | Candidates
 +
! data-sort-type="text" class="fixhead" | {{Vn}}-range(s)
 +
! data-sort-type="number" class="fixhead" | # primes
 +
! data-sort-type="text" class="fixhead" | prime(s) for {{Vn}}
 +
{{#for_external_table:<nowiki/>
 +
{{!}}-
 +
{{!}} style="text-align:right" {{!}} [[Riesel prime 2 {{{k}}}|{{{k}}}]]
 +
{{!}} style="text-align:right" {{!}} {{{nash}}}
 +
{{!}} style="text-align:right" {{!}} {{{cand}}}
 +
{{!}} style="text-align:right" {{!}} {{{range}}}
 +
{{!}} style="text-align:right" {{!}} {{{count}}}
 +
{{!}} style="text-align:left" {{!}} {{{n}}}
 +
}}
 +
|}</div>
 +
''**'': Only {{Vn}} != 1 mod 10 is searched.
 +
 
 +
===Notes===
 +
Sieve file for {{Num|3000000}} < {{Vn}} < {{Num|4000000}} available (LLR-format, {{Num|290225}} candidates).
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
 
[[Category:RPS Megabit Drive 1| ]]
 
[[Category:RPS Megabit Drive 1| ]]

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"