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'''Riesel Prime Search''' (RPS) is a prime searching project established in 2005 by [[Predrag Minovic]] (Kosmaj).
+
'''Riesel Prime Search''' (RPS) is a prime search project established in 2005 by [[Predrag Minovic]] (Kosmaj).
  
 
The project description is as follows:
 
The project description is as follows:
 
:The project is searching for [[Riesel prime]]s {{Kbn|k|n}}, {{Vk}} > 1.
 
:The project is searching for [[Riesel prime]]s {{Kbn|k|n}}, {{Vk}} > 1.
−
:We have three subprojects as follows.
+
:There are three subprojects as follows:
−
:# {{Vk}}-values that can produce many primes in the given range of exponent {{Vn}}
+
:# High-weight {{Vk}}-values that can produce many primes in a given range of exponent {{Vn}}.
−
:# Low-weight {{Vk}}-values that produce a very small number of primes (opposite to (1) above)
+
:# Low-weight {{Vk}}-values that produce a very small number of primes, opposite to #1 above.
−
:# Small {{Vk}} < 300 (with exception of those {{Vk}}-values already reserved by other projects)
+
:# Small {{Vk}} < 300 with the exception of {{Vk}}-values already reserved by other projects.
 +
 
 +
==Riesellist pages==
 +
The Riesellist pages were 15k/RPS status pages that showed {{Vk}}'s, primes, reservations, and other project info. They are still useful for historical reference. Below are Web Archive versions available from 2004-2008, slightly changed to remove old invalid links:
 +
:[http://www.noprimeleftbehind.net/riesellist_20040607.htm riesellist_20040607]
 +
:[http://www.noprimeleftbehind.net/riesellist_20040623.htm riesellist_20040623]
 +
:[http://www.noprimeleftbehind.net/riesellist_20040830.htm riesellist_20040830]
 +
:[http://www.noprimeleftbehind.net/riesellist_20041130.htm riesellist_20041130]
 +
:[http://www.noprimeleftbehind.net/riesellist_20050201.htm riesellist_20050201]
 +
:[http://www.noprimeleftbehind.net/riesellist_20050301.htm riesellist_20050301]
 +
:[http://www.noprimeleftbehind.net/riesellist_20050325.htm riesellist_20050325]
 +
:[http://www.noprimeleftbehind.net/riesellist_20051221.htm riesellist_20051221]
 +
:[http://www.noprimeleftbehind.net/riesellist_20060126.htm riesellist_20060126]
 +
:[http://www.noprimeleftbehind.net/riesellist_20060206.htm riesellist_20060206]
 +
:[http://www.noprimeleftbehind.net/riesellist_20060812.htm riesellist_20060812]
 +
:[http://www.noprimeleftbehind.net/riesellist_20060823.htm riesellist_20060823]
 +
:[http://www.noprimeleftbehind.net/riesellist_20060824.htm riesellist_20060824]
 +
:[http://www.noprimeleftbehind.net/riesellist_20060825.htm riesellist_20060825]
 +
:[http://www.noprimeleftbehind.net/riesellist_20061003.htm riesellist_20061003]
 +
:[http://www.noprimeleftbehind.net/riesellist_20061204.htm riesellist_20061204]
 +
:[http://www.noprimeleftbehind.net/riesellist_20070326.htm riesellist_20070326]
 +
:[http://www.noprimeleftbehind.net/riesellist_20070730.htm riesellist_20070730]
 +
:[http://www.noprimeleftbehind.net/riesellist_20080119.htm riesellist_20080119]
 +
 
 +
There is also this useful page:
 +
:[http://www.noprimeleftbehind.net/RPSotherRanges.htm RPS other ranges]
 +
 
 +
==Drive overview==
 +
{| class="wikitable"
 +
! Drive !! Start !! End !! #{{Vk}} !! {{Vk}}-range !! {{Vn}}-range !! #primes !! Purpose
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 1|Drive 1]]
 +
| 2005-10-31
 +
| 2006-08-02
 +
| style="text-align:right;" | 16
 +
| style="text-align:center;" | 67342275 - 3467560635
 +
| style="text-align:center;" | 201700 - 400000
 +
| 102 new
 +
| Riesel primes for high weighted {{Vk}}'s
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 2|Drive 2]]
 +
| 2006-03-18
 +
| 2006-08-13
 +
| style="text-align:right;" | 20
 +
| style="text-align:center;" | 107 - 239
 +
| style="text-align:center;" | 210000 - 600000
 +
| 56 new, 5 confirmed
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 3|Drive 3]]
 +
| 2006-04-27
 +
| 2009-03-01
 +
| style="text-align:right;" | 36
 +
| style="text-align:center;" | 389152177 - 857656417
 +
| style="text-align:center;" | 1105000 - 2000000
 +
| none
 +
| Riesel primes for low weighted {{Vk}}'s
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 4|Drive 4]]
 +
| 2006-07-28
 +
| 2006-12-16
 +
| style="text-align:right;" | 21
 +
| style="text-align:center;" | 91 - 299
 +
| style="text-align:center;" | various - 600000
 +
| 35 new
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 5|Drive 5]]
 +
| 2006-11-12
 +
| 2008-07-04
 +
| style="text-align:right;" | 14
 +
| style="text-align:center;" | 51 - 291
 +
| style="text-align:center;" | various - 1000000
 +
| 57 new, 4 confirmed
 +
| Riesel primes for {{Vk}}'s < 300 divisible by 3
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 6|Drive 6]]
 +
| 2008-06-22
 +
| 2011-02-01
 +
| style="text-align:right;" | 13
 +
| style="text-align:center;" | 133 - 295
 +
| style="text-align:center;" | 600000 - 1400000
 +
| 26 new
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 7|Drive 7]]
 +
| 2009-02-06
 +
| 2024-04-14
 +
| style="text-align:right;" | 21
 +
| style="text-align:center;" | 2235 - 2985
 +
| style="text-align:center;" | 360000 - 2000000
 +
| 148 new
 +
| Riesel primes for 21 high weighted {{Rk|2200|3000}}
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 8|Drive 8]]
 +
| 2009-03-24
 +
| 2024-04-10
 +
| style="text-align:right;" | 20
 +
| style="text-align:center;" | 3345 - 9441
 +
| style="text-align:center;" | 380000 - 1333000
 +
| 182 new, 3 confirmed
 +
| Riesel primes for 20 high weighted {{Rk|3000|10000}}
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 9|Drive 9]]
 +
| 2009-05-12
 +
| 2018-06-23
 +
| style="text-align:right;" | 40
 +
| style="text-align:center;" | 11655 - 29925
 +
| style="text-align:center;" | various - 1000000
 +
| 265 new
 +
| Riesel primes for 40 high weighted {{Rk|10000|30000}}
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 10|Drive 10]]
 +
| 2009-05-12
 +
| 2013-10-24
 +
| style="text-align:right;" | 128
 +
| style="text-align:center;" | 10781 - 34693
 +
| style="text-align:center;" | 400000 - 1330000
 +
| 59 new
 +
| Riesel primes for 128 low weighted {{Rk|10000|35000}}
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 11|Drive 11]]
 +
| 2011-09-03
 +
| 2013-08-30
 +
| style="text-align:right;" | 127
 +
| style="text-align:center;" | 2001 - 2299
 +
| style="text-align:center;" | 666666 - 1025000
 +
| 157 new, 1 confirmed
 +
| Riesel primes for 124 untested {{Rk|2000|2300}}
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 12|Drive 12]]
 +
| 2013-08-28
 +
| 2015-04-20
 +
| style="text-align:right;" | 13
 +
| style="text-align:center;" | 2043 - 2289
 +
| style="text-align:center;" | 1025000 - 1310000
 +
| 29 new
 +
| Riesel primes for 13 high weighted {{Rk|2000|2300}}
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 9ks|Drive 9ks]]
 +
| 2007-12-03
 +
| 2009-09-15
 +
| style="text-align:right;" | 9
 +
| style="text-align:center;" | 111 - 225
 +
| style="text-align:center;" | 700000 - 1000000
 +
| 10 new
 +
| Riesel primes for 9 {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Megabit Drive 1|Megabit 1]]
 +
| 2010-10-24
 +
| 2020-11-12
 +
| style="text-align:right;" | 12
 +
| style="text-align:center;" | 35 - 111
 +
| style="text-align:center;" | 1000000 - 3100000
 +
| 39 new
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Megabit Drive 2|Megabit 2]]
 +
| 2011-04-28
 +
| 2022-04-10
 +
| style="text-align:right;" | 30
 +
| style="text-align:center;" | 115 - 193
 +
| style="text-align:center;" | 1000000 - 2300000
 +
| 50 new
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Megabit Drive 3|Megabit 3]]
 +
| 2014-05-30
 +
| 2022-03-09
 +
| style="text-align:right;" | 9
 +
| style="text-align:center;" | 203 - 295
 +
| style="text-align:center;" | 1400000 - 2222000
 +
| 11 new
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K5|{{Vk}}=5]]
 +
| 2007-10-03
 +
| 2021-09-17
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 5
 +
| style="text-align:center;" | 470000 - 6000000
 +
| 4 new
 +
| Riesel primes for {{Vk}} = 5
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K15|{{Vk}}=15]]
 +
| 2006-09-12
 +
| 2021-11-20
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 15
 +
| style="text-align:center;" | 1000000 - 6134000
 +
| 5 new
 +
| Riesel primes for {{Vk}} = 15
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K17|{{Vk}}=17]]
 +
| 2006-05-03
 +
| 2015-07-12
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 17
 +
| style="text-align:center;" | 205000 - 5000000
 +
| 4 new, 5 confirmed
 +
| Riesel primes for {{Vk}} = 17
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K65|{{Vk}}=65]]
 +
| 2005-09-03
 +
| 2007-03-01
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 65
 +
| style="text-align:center;" | 430000 - 989596
 +
| 2 new
 +
| Riesel primes for {{Vk}} = 65
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K105|{{Vk}}=105]]
 +
| 2007-07-21
 +
| 2010-03-08
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 105
 +
| style="text-align:center;" | 541300 - 1500000
 +
| 6 new
 +
| Riesel primes for {{Vk}} = 105
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K125|{{Vk}}=125]]
 +
| 2006-07-24
 +
| 2007-12-17
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 125
 +
| style="text-align:center;" | 608852 - 1000000
 +
| 2 new
 +
| Riesel primes for {{Vk}} = 125
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K210885|{{Vk}}=210885]]
 +
| 2003-11-24
 +
| 2008-01-03
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 210885
 +
| style="text-align:center;" | 230000 - 645000
 +
| 5 new
 +
| Riesel primes for {{Vk}} = 210885
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K2995125705|{{Vk}}=2995125705]]
 +
| 2004-03-05
 +
| 2007-05-07
 +
| style="text-align:right;" | 1
 +
| style="text-align:center;" | 2995125705
 +
| style="text-align:center;" | 230000 - 965000
 +
| 16 new
 +
| Riesel primes for {{Vk}} = 2995125705
 +
|}
  
 
==External links==
 
==External links==
−
*[https://www.mersenneforum.org/forumdisplay.php?f=59 Project forum at MersenneForum]
+
*[https://www.mersenneforum.org/node/42 Project forum at MersenneForum]
 
*[https://t5k.org/bios/page.php?id=819 Project at The Prime Pages]
 
*[https://t5k.org/bios/page.php?id=819 Project at The Prime Pages]
  

Latest revision as of 23:51, 3 May 2025

Riesel Prime Search (RPS) is a prime search project established in 2005 by Predrag Minovic (Kosmaj).

The project description is as follows:

The project is searching for Riesel primes k•2n-1, k > 1.
There are three subprojects as follows:
  1. High-weight k-values that can produce many primes in a given range of exponent n.
  2. Low-weight k-values that produce a very small number of primes, opposite to #1 above.
  3. Small k < 300 with the exception of k-values already reserved by other projects.

Riesellist pages

The Riesellist pages were 15k/RPS status pages that showed k's, primes, reservations, and other project info. They are still useful for historical reference. Below are Web Archive versions available from 2004-2008, slightly changed to remove old invalid links:

riesellist_20040607
riesellist_20040623
riesellist_20040830
riesellist_20041130
riesellist_20050201
riesellist_20050301
riesellist_20050325
riesellist_20051221
riesellist_20060126
riesellist_20060206
riesellist_20060812
riesellist_20060823
riesellist_20060824
riesellist_20060825
riesellist_20061003
riesellist_20061204
riesellist_20070326
riesellist_20070730
riesellist_20080119

There is also this useful page:

RPS other ranges

Drive overview

Drive Start End #k k-range n-range #primes Purpose
Drive 1 2005-10-31 2006-08-02 16 67342275 - 3467560635 201700 - 400000 102 new Riesel primes for high weighted k's
Drive 2 2006-03-18 2006-08-13 20 107 - 239 210000 - 600000 56 new, 5 confirmed Riesel primes for k's < 300
Drive 3 2006-04-27 2009-03-01 36 389152177 - 857656417 1105000 - 2000000 none Riesel primes for low weighted k's
Drive 4 2006-07-28 2006-12-16 21 91 - 299 various - 600000 35 new Riesel primes for k's < 300
Drive 5 2006-11-12 2008-07-04 14 51 - 291 various - 1000000 57 new, 4 confirmed Riesel primes for k's < 300 divisible by 3
Drive 6 2008-06-22 2011-02-01 13 133 - 295 600000 - 1400000 26 new Riesel primes for k's < 300
Drive 7 2009-02-06 2024-04-14 21 2235 - 2985 360000 - 2000000 148 new Riesel primes for 21 high weighted k = 2200 - 3000
Drive 8 2009-03-24 2024-04-10 20 3345 - 9441 380000 - 1333000 182 new, 3 confirmed Riesel primes for 20 high weighted k = 3000 - 10000
Drive 9 2009-05-12 2018-06-23 40 11655 - 29925 various - 1000000 265 new Riesel primes for 40 high weighted k = 10000 - 30000
Drive 10 2009-05-12 2013-10-24 128 10781 - 34693 400000 - 1330000 59 new Riesel primes for 128 low weighted k = 10000 - 35000
Drive 11 2011-09-03 2013-08-30 127 2001 - 2299 666666 - 1025000 157 new, 1 confirmed Riesel primes for 124 untested k = 2000 - 2300
Drive 12 2013-08-28 2015-04-20 13 2043 - 2289 1025000 - 1310000 29 new Riesel primes for 13 high weighted k = 2000 - 2300
Drive 9ks 2007-12-03 2009-09-15 9 111 - 225 700000 - 1000000 10 new Riesel primes for 9 k's < 300
Megabit 1 2010-10-24 2020-11-12 12 35 - 111 1000000 - 3100000 39 new Riesel primes for k's < 300
Megabit 2 2011-04-28 2022-04-10 30 115 - 193 1000000 - 2300000 50 new Riesel primes for k's < 300
Megabit 3 2014-05-30 2022-03-09 9 203 - 295 1400000 - 2222000 11 new Riesel primes for k's < 300
k=5 2007-10-03 2021-09-17 1 5 470000 - 6000000 4 new Riesel primes for k = 5
k=15 2006-09-12 2021-11-20 1 15 1000000 - 6134000 5 new Riesel primes for k = 15
k=17 2006-05-03 2015-07-12 1 17 205000 - 5000000 4 new, 5 confirmed Riesel primes for k = 17
k=65 2005-09-03 2007-03-01 1 65 430000 - 989596 2 new Riesel primes for k = 65
k=105 2007-07-21 2010-03-08 1 105 541300 - 1500000 6 new Riesel primes for k = 105
k=125 2006-07-24 2007-12-17 1 125 608852 - 1000000 2 new Riesel primes for k = 125
k=210885 2003-11-24 2008-01-03 1 210885 230000 - 645000 5 new Riesel primes for k = 210885
k=2995125705 2004-03-05 2007-05-07 1 2995125705 230000 - 965000 16 new Riesel primes for k = 2995125705

External links

Riesel Prime Search
Projects
Retrieved from "https://www.rieselprime.de/z/index.php?title=Riesel_Prime_Search&oldid=39230"