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__NOTOC__
 
__NOTOC__
−
*Name: [[Riesel Prime Search]] Drive 8
+
==Overview==
−
*Purpose: The goal of this drive is to search for primes of the form {{Kbn|k|n}} for 20 high-weighted 3000 < {{Vk}} < 10000.
+
{{Infobox Drive
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*Link: [https://www.mersenneforum.org/showthread.php?t=11645 Mersenne Forum]
+
|DRProject=Riesel Prime Search
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*Started: 2009-03-24
+
|DRName=RPS Drive 8
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*Ended: 2024-04-10
+
|DRPurpose=Search for [[Riesel prime]]s for 20 [[Nash weight|high-weighted]] {{Rk|3000|10000}}.
−
*{{Vk}}-values:
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|DRMultiRes=
−
:'''2009-03-24''': {{Vk}} = 3345, 3975, 4935, 5025, 5355, 5445, 5535, 5865, 6165, 6369,
+
|DRStatus=
−
::6555, 6705, 6975, 7215, 7245, 8235, 8295, 9015, 9075, 9441 for 380000 &le; {{Vn}} &le; 700000
+
|DRStart=2009-03-24
−
:'''2009-03-28''': removing {{Vk}} = 8235 for {{Vn}} > 405000
+
|DREnd=2024-04-10
−
:'''2010-07-11''': extending remaining {{Vk}} for {{Vn}} > 700000
+
|DRkvalues=3345 - 9441
−
:'''2011-09-13''': extending all {{Vk}} for {{Vn}} > 1000000
+
|DRnrange=380000 - 1330000
 +
|DRCandidates=
 +
|DRSieve=
 +
|DRPrimes=182 new, 3 confirmed
 +
|DRLink=[https://www.mersenneforum.org/node/8440#post8440 MersenneForum]
 +
}}
 +
==={{Vk}}-history===
 +
:'''2009-03-24''': {{Vk}} = 3345, 3975, 4935, 5025, 5355, 5445, 5535, 5865, 6165, 6369, 6555, 6705, 6975, 7215, 7245, 8235, 8295, 9015, 9075, 9441 for {{Rn|380000|700000}}
 +
:'''2009-03-28''': removing {{Vk}} = 8235 from {{Rn|405000|405000}}
 +
:'''2010-07-11''': extending remaining {{Vk}} from {{Rn|700000|700000}}
 +
:'''2011-09-13''': extending all {{Vk}} from {{Rn|1000000|1000000}}
 
:'''All for drive''' {{Vk}} = 3345, 3975, 4935, 5025, 5355, 5445, 5535, 5865, 6165, 6369, 6555, 6705, 6975, 7215, 7245, 8235, 8295, 9015, 9075, 9441
 
:'''All for drive''' {{Vk}} = 3345, 3975, 4935, 5025, 5355, 5445, 5535, 5865, 6165, 6369, 6555, 6705, 6975, 7215, 7245, 8235, 8295, 9015, 9075, 9441
−
*{{Vn}}-values: 380000 &le; {{Vn}} &le; 1333000
+
==={{Vn}}-history===
 +
*{{Vn}}-values: {{Rn|380000|1330000}}
 +
===Sieve history===
 +
===Reservation history===
 +
===Primes table===
 +
The data file can be found [[:File:RPS Drive 8 k-values.csv|here]].
 +
{{#get_web_data:url=https://www.rieselprime.de/z/images/e/e1/RPS_Drive_8_k-values.csv|format=csv with header|delimiter=;|data=k=k,nash=nash,cand=cand,range=range,count=count,n=n}}
 +
<div style="width:65em; height:650px; 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
 +
! data-sort-type="number" class="fixhead" | # primes
 +
! data-sort-type="text" class="fixhead" | primes for {{Vn}} (C=confirmed)
 +
{{#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>
  
−
==Data table==
+
===Notes===
−
{| class="wikitable"
 
−
! {{Vk}}-value !! [[Nash weight|Nash]] !! Candidates !! {{Vn}}-range !! # primes !! primes for {{Vn}} (<span style="background-color:#00ffff;">confirmed</span>)
 
−
|-
 
−
| [[Riesel prime 2 3345|3345]] || 4383 || || 380000-1333000 || 7 || 464725, 496616, 564815, 704675, 706907, 806591, 1163424
 
−
|-
 
−
| [[Riesel prime 2 3975|3975]] || 4412 || || 380000-1333000 || 6 || 404016, 541557, 554537, 603436, 844421, 1103217
 
−
|-
 
−
| [[Riesel prime 2 4935|4935]] || 4712 || || 380000-1333000 || 11 || 405099, 411106, 445949, 609292, 610888, 795867, 796180, 852607, 868194, 1049124, 1135868
 
−
|-
 
−
| [[Riesel prime 2 5025|5025]] || 4457 || || 380000-1333000 || 6 || 456808, 471882, 701296, 759739, 908815, 1273989
 
−
|-
 
−
| [[Riesel prime 2 5355|5355]] || 4665 || || 380000-1333000 || 7 || 419601, 517558, 561953, 637185, 721545, 963837, 1080645
 
−
|-
 
−
| [[Riesel prime 2 5445|5445]] || 4499 || || 380000-1333000 || 16 || 411398, 426410, 435815, 522059, 525824, 530923, 584652, 609541, 644452, 666302, 796718, 1037660, 1080331, 1144729, 1189501, 1245349
 
−
|-
 
−
| [[Riesel prime 2 5535|5535]] || 4315 || || 380000-1333000 || 9 || 434856, 472351, 644781, 707340, 1060390, 1070892, 1086103, 1213120, 1264858
 
−
|-
 
−
| [[Riesel prime 2 5865|5865]] || 4813 || || 380000-1333000 || 13 || 381794, 417280, 427626, 511085, 613568, 678597, 818472, 837271, 889294, 889524, 1157728, 1189894, 1291784
 
−
|-
 
−
| [[Riesel prime 2 6165|6165]] || 4403 || || 380000-1333000 || 12 || <span style="background-color:#00ffff;">404771</span>, 423938, 426467, 432948, 752905, 775125, 802635, 820642, 838587, 930042, 988573, 1219740
 
−
|-
 
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| [[Riesel prime 2 6369|6369]] || 4450 || || 380000-1333000 || 4 || 428037, 843816, 1109384, 1117513
 
−
|-
 
−
| [[Riesel prime 2 6555|6555]] || 5163 || || 380000-1333000 || 18 || 436774, 451634, 545008, 556347, 746598, 754942, 786768, 852689, 951938, 1008197, 1068902, 1080139, 1083091, 1125540, 1225770, 1254508, 1260074, 1270491
 
−
|-
 
−
| [[Riesel prime 2 6705|6705]] || 4752 || || 380000-1333000 || 8 || 425927, 472680, 495407, 645467, 649240, 721692, 783226, 1283847
 
−
|-
 
−
| [[Riesel prime 2 6975|6975]] || 4518 || || 380000-1333000 || 12 || 389032, 481543, 529869, 544636, 554584, 562591, 639632, 687468, 853931, 974757, 1063347, 1321778
 
−
|-
 
−
| [[Riesel prime 2 7215|7215]] || 4367 || || 380000-1333000 || 10 || 462798, 521696, 527378, 608122, 637323, 649002, 731016, 911807, 1114007, 1285443
 
−
|-
 
−
| [[Riesel prime 2 7245|7245]] || 4608 || || 380000-1333000 || 13 || 410486, 412475, 520742, 566594, 618242, 734036, 788010, 808105, 880345, 882745, 994567, 1109076, 1248284
 
−
|-
 
−
| [[Riesel prime 2 8235|8235]] || 4380 || || 380000-405000 || 2 || <span style="background-color:#00ffff;">389465</span>, 397032
 
−
|-
 
−
| [[Riesel prime 2 8295|8295]] || 4753 || || 380000-1333000 || 8 || 383469, 387251, 491744, 508161, 532615, 646773, 785683, 926313
 
−
|-
 
−
| [[Riesel prime 2 9015|9015]] || 4631 || || 380000-1333000 || 6 || <span style="background-color:#00ffff;">435418</span>, 448216, 453672, 626654, 732435, 853964
 
−
|-
 
−
| [[Riesel prime 2 9075|9075]] || 4502 || || 380000-1333000 || 8 || 404230, 435321, 584745, 648450, 881939, 1119272, 1132874, 1331605
 
−
|-
 
−
| [[Riesel prime 2 9441|9441]] || 4561 || || 380000-1333000 || 9 || 388683, 441126, 501654, 528999, 610639, 662846, 893751, 991067, 1119272
 
−
|}
 
−
 
 
−
==Range history==
 
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
 
[[Category:Riesel Prime Search|Drive 8]]
 
[[Category:Riesel Prime Search|Drive 8]]

Revision as of 22:24, 27 April 2025

Overview

RPS Drive 8 - This drive is done.
Project Riesel Prime Search
Drive name RPS Drive 8
Purpose Search for Riesel primes for 20 high-weighted k = 3000 - 10000.
Date start 2009-03-24
Date end 2024-04-10
k-values 3345 - 9441
n-range 380000 - 1330000
Primes found 182 new, 3 confirmed
Link MersenneForum

k-history

2009-03-24: k = 3345, 3975, 4935, 5025, 5355, 5445, 5535, 5865, 6165, 6369, 6555, 6705, 6975, 7215, 7245, 8235, 8295, 9015, 9075, 9441 for n = 380000 - 700000
2009-03-28: removing k = 8235 from n = 405000
2010-07-11: extending remaining k from n = 700000
2011-09-13: extending all k from n = 1000000
All for drive k = 3345, 3975, 4935, 5025, 5355, 5445, 5535, 5865, 6165, 6369, 6555, 6705, 6975, 7215, 7245, 8235, 8295, 9015, 9075, 9441

n-history

  • n-values: n = 380000 - 1330000

Sieve history

Reservation history

Primes table

The data file can be found here.

k-value Nash Candidates n-range # primes primes for n (C=confirmed)

3345 4383 380000-1333000 7 464725, 496616, 564815, 704675, 706907, 806591, 1163424
3975 4412 380000-1333000 6 404016, 541557, 554537, 603436, 844421, 1103217
4935 4712 380000-1333000 11 405099, 411106, 445949, 609292, 610888, 795867, 796180, 852607, 868194, 1049124, 1135868
5025 4457 380000-1333000 6 456808, 471882, 701296, 759739, 908815, 1273989
5355 4665 380000-1333000 7 419601, 517558, 561953, 637185, 721545, 963837, 1080645
5445 4499 380000-1333000 16 411398, 426410, 435815, 522059, 525824, 530923, 584652, 609541, 644452, 666302, 796718, 1037660, 1080331, 1144729, 1189501, 1245349
5535 4315 380000-1333000 9 434856, 472351, 644781, 707340, 1060390, 1070892, 1086103, 1213120, 1264858
5865 4813 380000-1333000 13 381794, 417280, 427626, 511085, 613568, 678597, 818472, 837271, 889294, 889524, 1157728, 1189894, 1291784
6165 4403 380000-1333000 12 404771 C, 423938, 426467, 432948, 752905, 775125, 802635, 820642, 838587, 930042, 988573, 1219740
6369 4450 380000-1333000 4 428037, 843816, 1109384, 1117513
6555 5163 380000-1333000 18 436774, 451634, 545008, 556347, 746598, 754942, 786768, 852689, 951938, 1008197, 1068902, 1080139, 1083091, 1125540, 1225770, 1254508, 1260074, 1270491
6705 4752 380000-1333000 8 425927, 472680, 495407, 645467, 649240, 721692, 783226, 1283847
6975 4518 380000-1333000 12 389032, 481543, 529869, 544636, 554584, 562591, 639632, 687468, 853931, 974757, 1063347, 1321778
7215 4367 380000-1333000 10 462798, 521696, 527378, 608122, 637323, 649002, 731016, 911807, 1114007, 1285443
7245 4608 380000-1333000 13 410486, 412475, 520742, 566594, 618242, 734036, 788010, 808105, 880345, 882745, 994567, 1109076, 1248284
8235 4380 380000-405000 2 389465 C, 397032
8295 4753 380000-1333000 8 383469, 387251, 491744, 508161, 532615, 646773, 785683, 926313
9015 4631 380000-1333000 6 435418 C, 448216, 453672, 626654, 732435, 853964
9075 4502 380000-1333000 8 404230, 435321, 584745, 648450, 881939, 1119272, 1132874, 1331605
9441 4561 380000-1333000 9 388683, 441126, 501654, 528999, 610639, 662846, 893751, 991067, 1119272

Notes

Riesel Prime Search
Retrieved from "https://www.rieselprime.de/z/index.php?title=RPS_Drive_8&oldid=39109"