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Difference between revisions of "Riesel Prime Search"

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(Adding Drives 9 and 10)
(add all RPS drives)
Line 3: Line 3:
 
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}}
+
:# {{Vk}}-values that can produce many primes in the 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 exception of those {{Vk}}-values already reserved by other projects).
  
 
==Drive overview==
 
==Drive overview==
Line 18: Line 18:
 
| style="text-align:center;" | 67342275 - 3467560635
 
| style="text-align:center;" | 67342275 - 3467560635
 
| style="text-align:center;" | 201700 - 400000
 
| style="text-align:center;" | 201700 - 400000
−
| 103 new / - confirmed
+
| 102 new
 
| Riesel primes for high weighted {{Vk}}'s
 
| Riesel primes for high weighted {{Vk}}'s
 
|-
 
|-
Line 27: Line 27:
 
| style="text-align:center;" | 107 - 239
 
| style="text-align:center;" | 107 - 239
 
| style="text-align:center;" | 210000 - 600000
 
| style="text-align:center;" | 210000 - 600000
−
| 56 new / 5 confirmed
+
| 56 new, 5 confirmed
 
| Riesel primes for {{Vk}}'s < 300
 
| Riesel primes for {{Vk}}'s < 300
 
|-
 
|-
Line 36: Line 36:
 
| style="text-align:center;" | 389152177 - 857656417
 
| style="text-align:center;" | 389152177 - 857656417
 
| style="text-align:center;" | 1105000 - 2000000
 
| style="text-align:center;" | 1105000 - 2000000
−
| - new / - confirmed
+
| none
 
| Riesel primes for low weighted {{Vk}}'s
 
| Riesel primes for low weighted {{Vk}}'s
 
|-
 
|-
Line 45: Line 45:
 
| style="text-align:center;" | 91 - 299
 
| style="text-align:center;" | 91 - 299
 
| style="text-align:center;" | various - 600000
 
| style="text-align:center;" | various - 600000
−
| 35 new / - confirmed
+
| 35 new
−
| Riesel primes for {{Vk}}'s
+
| Riesel primes for {{Vk}}'s < 300
 
|-
 
|-
 
| style="text-align:right;" | [[RPS Drive 5|Drive 5]]
 
| style="text-align:right;" | [[RPS Drive 5|Drive 5]]
Line 54: Line 54:
 
| style="text-align:center;" | 51 - 291
 
| style="text-align:center;" | 51 - 291
 
| style="text-align:center;" | various - 1000000
 
| style="text-align:center;" | various - 1000000
−
| 57 new / 4 confirmed
+
| 57 new, 4 confirmed
 
| Riesel primes for {{Vk}}'s < 300 divisible by 3
 
| 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]]
 
| style="text-align:right;" | [[RPS Drive 9|Drive 9]]
Line 63: Line 90:
 
| style="text-align:center;" | 11655 - 29925
 
| style="text-align:center;" | 11655 - 29925
 
| style="text-align:center;" | various - 1000000
 
| style="text-align:center;" | various - 1000000
−
| 265 new / - confirmed
+
| 265 new
−
| Riesel primes for high weighted {{Vk}}'s
+
| Riesel primes for 40 high weighted {{Rk|10000|30000}}
 
|-
 
|-
 
| style="text-align:right;" | [[RPS Drive 10|Drive 10]]
 
| style="text-align:right;" | [[RPS Drive 10|Drive 10]]
Line 72: Line 99:
 
| style="text-align:center;" | 10781 - 34693
 
| style="text-align:center;" | 10781 - 34693
 
| style="text-align:center;" | 400000 - 1330000
 
| style="text-align:center;" | 400000 - 1330000
−
| 59 new / - confirmed
+
| 59 new
−
| Riesel primes for low weighted {{Vk}}'s  
+
| 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]]
 
| style="text-align:right;" | [[RPS Megabit Drive 2|Megabit 2]]
Line 81: Line 144:
 
| style="text-align:center;" | 115 - 193
 
| style="text-align:center;" | 115 - 193
 
| style="text-align:center;" | 1000000 - 2300000
 
| style="text-align:center;" | 1000000 - 2300000
−
| 50 new / - confirmed
+
| 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
 
| Riesel primes for {{Vk}}'s < 300
 
|-
 
|-
Line 90: Line 162:
 
| style="text-align:center;" | 5
 
| style="text-align:center;" | 5
 
| style="text-align:center;" | 470000 - 6000000
 
| style="text-align:center;" | 470000 - 6000000
−
| 4 new / - confirmed
+
| 4 new
 
| Riesel primes for {{Vk}} = 5
 
| 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
 
|}
 
|}
  
 
==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]
  

Revision as of 04:24, 21 April 2025

Riesel Prime Search (RPS) is a prime searching 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. k-values that can produce many primes in the 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 exception of those k-values already reserved by other projects).

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

External links

Riesel Prime Search
Projects
Retrieved from "https://www.rieselprime.de/z/index.php?title=Riesel_Prime_Search&oldid=38999"