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Difference between revisions of "Riesel Prime Search"

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The project description is as follows:
 
The project description is as follows:
−
:The project is searching for Riesel primes k*2^n-1, k>1.
+
:The project is searching for [[Riesel prime]]s {{Kbn|k|n}}, {{Vk}} > 1.
 
:We have three subprojects as follows.
 
:We have three subprojects as follows.
−
::(1) k's that can produce many primes in the given range of exponent n
+
:# {{Vk}}-values that can produce many primes in the given range of exponent {{Vn}}
−
::(2) low-weight k's 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)
−
::(3) small k < 300 (with exception of those k's already reserved by other projects).
+
:# Small {{Vk}} < 300 (with exception of those {{Vk}}-values already reserved by other projects)
 +
 
 +
==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
 +
| 16
 +
| style="text-align:center;" | 67342275 - 3467560635
 +
| style="text-align:center;" | 201700 - 400000
 +
| 103 new / - confirmed
 +
| Riesel primes for high weighted {{Vk}}'s
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 2|Drive 2]]
 +
| 2006-03-18
 +
| 2006-08-13
 +
| 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
 +
| 36
 +
| style="text-align:center;" | 389152177 - 857656417
 +
| style="text-align:center;" | 1105000 - 2000000
 +
| - new / - confirmed
 +
| Riesel primes for low weighted {{Vk}}'s
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 4|Drive 4]]
 +
| 2006-07-28
 +
| 2006-12-16
 +
| 21
 +
| style="text-align:center;" | 91 - 299
 +
| style="text-align:center;" | various - 600000
 +
| 35 new / - confirmed
 +
| Riesel primes for {{Vk}}'s
 +
|-
 +
| style="text-align:right;" | [[RPS Drive 5|Drive 5]]
 +
| 2006-11-12
 +
| 2008-07-04
 +
| 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 Megabit Drive 2|Megabit 2]]
 +
| 2011-04-28
 +
| 2022-04-10
 +
| 30
 +
| style="text-align:center;" | 115 - 193
 +
| style="text-align:center;" | 1000000 - 2300000
 +
| 50 new / - confirmed
 +
| Riesel primes for {{Vk}}'s < 300
 +
|-
 +
| style="text-align:right;" | [[RPS Drive K5|{{Vk}}=5]]
 +
| 2007-10-03
 +
| 2021-09-17
 +
| 1
 +
| style="text-align:center;" | 5
 +
| style="text-align:center;" | 470000 - 6000000
 +
| 4 new / - confirmed
 +
| Riesel primes for {{Vk}} = 5
 +
|}
  
 
==External links==
 
==External links==
−
*[http://www.mersenneforum.org/showthread.php?t=4917 Project at MersenneForum]
+
*[https://www.mersenneforum.org/forumdisplay.php?f=59 Project forum at MersenneForum]
−
*[https://primes.utm.edu/bios/page.php?id=819 Project at The Prime Pages]
+
*[https://t5k.org/bios/page.php?id=819 Project at The Prime Pages]
 +
 
 +
{{Navbox Riesel Prime Search}}
 +
{{Navbox Projects}}
 +
 
 
[[Category:Riesel Prime Search| ]]
 
[[Category:Riesel Prime Search| ]]
 +
[[Category:Distributed computing project]]

Latest revision as of 15:18, 3 July 2024

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.
We have 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 103 new / - confirmed 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 - new / - confirmed Riesel primes for low weighted k's
Drive 4 2006-07-28 2006-12-16 21 91 - 299 various - 600000 35 new / - confirmed Riesel primes for k's
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
Megabit 2 2011-04-28 2022-04-10 30 115 - 193 1000000 - 2300000 50 new / - confirmed Riesel primes for k's < 300
k=5 2007-10-03 2021-09-17 1 5 470000 - 6000000 4 new / - confirmed Riesel primes for k = 5

External links

Riesel Prime Search
Projects
Retrieved from "https://www.rieselprime.de/z/index.php?title=Riesel_Prime_Search&oldid=33723"