Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3).
Navigation
Topics Help • Register • News • History • How to • Sequences statistics • Template prototypes

Difference between revisions of "RPS Megabit Drive 2"

From Prime-Wiki
Jump to: navigation, search
(complete drive)
(use drive template)
 
(2 intermediate revisions by 2 users not shown)
Line 1: Line 1:
__NOTOC__{{Stub}}
+
__NOTOC__
==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
 +
|DRName=RPS Megabit Drive 2
 +
|DRPurpose=Search for [[Riesel prime]]s for {{Rk|100|200}} from {{Rn|1000000|1000000}}
 +
|DRMultiRes=
 +
|DRStatus=
 +
|DRStart=2011-04-28
 +
|DREnd=2022-04-10
 +
|DRkvalues=115 - 193
 +
|DRnrange=1000000 - 2300000
 +
|DRCandidates=932339
 +
|DRSieve=
 +
|DRPrimes=50 new
 +
|DRLink=[https://www.mersenneforum.org/node/10952#post10952 MersenneForum]
 +
}}
 +
==={{Vk}}-history===
 +
:'''2011-04-28''': {{Vk}} = 115, 117, 123, 129, 135, 147, 149, 153-159, 171-175, 179, 183, 185, 189, 193 for {{Rn|1000000|1100000}}
 +
:'''2011-06-03''': extending all {{Vk}} from {{Rn|1100000|1100000}}
 +
:'''2015-06-19''': adding {{Vk}} = 131, 133, 137-145, 161, 177, 181, 187 from {{Rn|2000000|2000000}}
 +
:'''2020-03-20''': removing {{Vk}} = 193 for {{Vn}} from {{Rn|2200000|2200000}}
 +
:'''All for drive''': {{Vk}} = 115, 117, 123, 129-149, 153-161, 171-189, 193
 +
==={{Vn}}-history===
 +
*{{Vn}}-values: {{Rn|1000000|2300000}}
 +
===Sieve history===
 +
===Reservation history===
 +
===Primes table===
 +
The data file can be found [[:File:RPS Megabit Drive 2 k-values.csv|here]].
 +
{{#get_web_data:url=https://www.rieselprime.de/z/images/5/5d/RPS_Megabit_Drive_2_k-values.csv|format=csv with header|delimiter=;|data=k=k,nash=nash,cand=cand,range=range,count=count,n=n}}
 +
<div style="width:55em; 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" | 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>
  
==Started==
+
===Notes===
*2011-04-28
 
 
 
==Ended==
 
*2022-04-10
 
 
 
=={{Vk}}-values==
 
:'''2011-04-28''': {{Vk}} = 115, 117, 123, 129, 135, 147, 149, 153, 155, 157, 159, 171, 173, 175, 179, 183, 185, 189, 193 for {{Num|1000000}} &le; {{Vn}} &le; {{Num|1100000}}
 
:'''2011-06-03''': extending all {{Vk}} for {{Vn}} > {{Num|1100000}}
 
:'''2015-06-19''': adding {{Vk}} = 131, 133, 137, 139, 141, 143, 145, 161, 177, 181, 187 for {{Vn}} > {{Num|2000000}}
 
:'''2020-03-20''': removing {{Vk}} = 193 for {{Vn}} > {{Num|2200000}}
 
:'''All for drive''': {{Vk}} = 115, 117, 123, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 149, 153, 155, 157, 159, 161, 171, 173, 175, 177, 179, 181, 183, 185, 187, 189, 193
 
 
 
==Data table==
 
{| class="wikitable"
 
! {{Vk}}-value !! [[Nash weight|Nash]] !! Candidates !! {{Vn}}-range || prime(s) for {{Vn}}
 
|-
 
| [[Riesel prime 2 115|115]] || {{GP|Riesel prime 2 115|RNash}} || 43318 || 1000000 - 2300000 || 1141719, 1524183
 
|-
 
| [[Riesel prime 2 117|117]] || {{GP|Riesel prime 2 117|RNash}} || 77288 || 1000000 - 2300000 || 1104138, 1210282, 1302764, 1554601, 1618434, 2117600
 
|-
 
| [[Riesel prime 2 123|123]] || {{GP|Riesel prime 2 123|RNash}} || 45841 || 1000000 - 2300000 || 1225115, 1241690, 1779728
 
|-
 
| [[Riesel prime 2 129|129]] || {{GP|Riesel prime 2 129|RNash}} || 59465 || 1000000 - 2300000 || 1376223
 
|-
 
| [[Riesel prime 2 131|131]] || {{GP|Riesel prime 2 131|RNash}} || 5491 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 133|133]] || {{GP|Riesel prime 2 133|RNash}} || 7097 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 135|135]] || {{GP|Riesel prime 2 135|RNash}} || 51611 || 1000000 - 2300000 || 1288177, 2180256
 
|-
 
| [[Riesel prime 2 137|137]] || {{GP|Riesel prime 2 137|RNash}} || 5321 || 2000000 - 2300000 || 2244398
 
|-
 
| [[Riesel prime 2 139|139]] || {{GP|Riesel prime 2 139|RNash}} || 12577 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 141|141]] || {{GP|Riesel prime 2 141|RNash}} || 9565 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 143|143]] || {{GP|Riesel prime 2 143|RNash}} || 10886 || 2000000 - 2300000 || 2007888
 
|-
 
| [[Riesel prime 2 145|145]] || {{GP|Riesel prime 2 145|RNash}} || 5497 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 147|147]] || {{GP|Riesel prime 2 147|RNash}} || 59973 || 1000000 - 2300000 || 1273684, 1374216, 1499333
 
|-
 
| [[Riesel prime 2 149|149]] || {{GP|Riesel prime 2 149|RNash}} || 21856 || 1000000 - 2300000 || 1054092, 1138804, 1541152, 1945668
 
|-
 
| [[Riesel prime 2 153|153]] || {{GP|Riesel prime 2 153|RNash}} || 68668 || 1000000 - 2300000 || 1215327, 1245154
 
|-
 
| [[Riesel prime 2 155|155]] || {{GP|Riesel prime 2 155|RNash}} || 28793 || 1000000 - 2300000 || 1207424
 
|-
 
| [[Riesel prime 2 157|157]] || {{GP|Riesel prime 2 157|RNash}} || 19652 || 1000000 - 2300000 || 1085121
 
|-
 
| [[Riesel prime 2 159|159]] || {{GP|Riesel prime 2 159|RNash}} || 47564 || 1000000 - 2300000 || 1004981, 1240229, 2081069
 
|-
 
| [[Riesel prime 2 161|161]] || {{GP|Riesel prime 2 161|RNash}} || 6598 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 171|171]] || {{GP|Riesel prime 2 171|RNash}} || 57576 || 1000000 - 2300000 || 1362662, 1575999
 
|-
 
| [[Riesel prime 2 173|173]] || {{GP|Riesel prime 2 173|RNash}} || 43684 || 1000000 - 2300000 || 1098914, 1504740
 
|-
 
| [[Riesel prime 2 175|175]] || {{GP|Riesel prime 2 175|RNash}} || 38811 || 1000000 - 2300000 || 1065181, 1162313, 1571521, 1711779
 
|-
 
| [[Riesel prime 2 177|177]] || {{GP|Riesel prime 2 177|RNash}} || 8047 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 179|179]] || {{GP|Riesel prime 2 179|RNash}} || 16772 || 1000000 - 2300000 || 1464720, 1636808
 
|-
 
| [[Riesel prime 2 181|181]] || {{GP|Riesel prime 2 181|RNash}} || 14832 || 2000000 - 2300000 ||
 
|-
 
| [[Riesel prime 2 183|183]] || {{GP|Riesel prime 2 183|RNash}} || 37510 || 1000000 - 2300000 || 1095896, 1219415, 1618775, 1707182
 
|-
 
| [[Riesel prime 2 185|185]] || {{GP|Riesel prime 2 185|RNash}} || 46011 || 1000000 - 2300000 || 1234730, 2127966, 2264906
 
|-
 
| [[Riesel prime 2 187|187]] || {{GP|Riesel prime 2 187|RNash}} || 5596 || 2000000 - 2300000 || 2172693
 
|-
 
| [[Riesel prime 2 189|189]] || {{GP|Riesel prime 2 189|RNash}} || 60909 || 1000000 - 2300000 || 1547744
 
|-
 
| [[Riesel prime 2 193|193]] || {{GP|Riesel prime 2 193|RNash}} || 15530 || 1000000 - 2200000 || 1268399
 
|}
 
 
 
==Range history==
 
 
 
==External Links==
 
*[https://www.mersenneforum.org/showthread.php?t=15557 Thread] at [[MersenneForum]]
 
  
 
{{Navbox Riesel Prime Search}}
 
{{Navbox Riesel Prime Search}}
[[Category:RPS Megabit Drive 2| ]]
+
[[Category:Riesel Prime Search|Megabit Drive 2]]

Latest revision as of 07:03, 28 April 2025

Overview

RPS Megabit Drive 2 - This drive is done.
Project Riesel Prime Search
Drive name RPS Megabit Drive 2
Purpose Search for Riesel primes for k = 100 - 200 from n = 1000000
Date start 2011-04-28
Date end 2022-04-10
k-values 115 - 193
n-range 1000000 - 2300000
# candidates 932339
Primes found 50 new
Link MersenneForum

k-history

2011-04-28: k = 115, 117, 123, 129, 135, 147, 149, 153-159, 171-175, 179, 183, 185, 189, 193 for n = 1000000 - 1100000
2011-06-03: extending all k from n = 1100000
2015-06-19: adding k = 131, 133, 137-145, 161, 177, 181, 187 from n = 2000000
2020-03-20: removing k = 193 for n from n = 2200000
All for drive: k = 115, 117, 123, 129-149, 153-161, 171-189, 193

n-history

  • n-values: n = 1000000 - 2300000

Sieve history

Reservation history

Primes table

The data file can be found here.

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

115 1954 43318 1000000-2300000 2 1141719, 1524183
117 3581 77288 1000000-2300000 6 1104138, 1210282, 1302764, 1554601, 1618434, 2117600
123 2133 45841 1000000-2300000 3 1225115, 1241690, 1779728
129 2753 59465 1000000-2300000 1 1376223
131 1065 5491 2000000-2300000 0
133 1442 7097 2000000-2300000 0
135 2322 51611 1000000-2300000 2 1288177, 2180256
137 1109 5321 2000000-2300000 1 2244398
139 2586 12577 2000000-2300000 0
141 1901 9565 2000000-2300000 0
143 2243 10886 2000000-2300000 1 2007888
145 1098 5497 2000000-2300000 0
147 2806 59973 1000000-2300000 3 1273684, 1374216, 1499333
149 1022 21856 1000000-2300000 4 1054092, 1138804, 1541152, 1945668
153 3189 68668 1000000-2300000 2 1215327, 1245154
155 1317 28793 1000000-2300000 1 1207424
157 917 19652 1000000-2300000 1 1085121
159 2237 47564 1000000-2300000 3 1004981, 1240229, 2081069
161 1273 6598 2000000-2300000 0
171 2674 57576 1000000-2300000 2 1362662, 1575999
173 1999 43684 1000000-2300000 2 1098914, 1504740
175 1792 38811 1000000-2300000 4 1065181, 1162313, 1571521, 1711779
177 1622 8047 2000000-2300000 0
179 779 16772 1000000-2300000 2 1464720, 1636808
181 2940 14832 2000000-2300000 0
183 1685 37510 1000000-2300000 4 1095896, 1219415, 1618775, 1707182
185 2161 46011 1000000-2300000 3 1234730, 2127966, 2264906
187 1158 5596 2000000-2300000 1 2172693
189 2793 60909 1000000-2300000 1 1547744
193 760 15530 1000000-2200000 1 1268399

Notes

Riesel Prime Search