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Difference between revisions of "PrimeGrid Sophie Germain Search"
(Created a page for PrimeGrid's SGS search. Needs inclusion of the n=666666-666691 search that happened before this) |
(Included info about first version of project) |
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As of June 2020, the search is currently at k = 5.4 trillion. [https://www.primegrid.com/stats_sgs_llr.php Live status] | As of June 2020, the search is currently at k = 5.4 trillion. [https://www.primegrid.com/stats_sgs_llr.php Live status] | ||
| + | |||
| + | The first version of the project searched for prime numbers k×2<sup>n</sup>-1 for 666,666 ≤ ''n'' ≤ 666,691 with varying ranges of ''k'' values up to 38.5 trillion. | ||
==Found primes== | ==Found primes== | ||
| − | As of June 2020 the project has found over | + | As of June 2020 the project has found over 8200 primes, with 2 Sophie Germain pairs and 2 Twin pairs. |
===Sophie Germain pairs=== | ===Sophie Germain pairs=== | ||
# {{Kbn|2618163402417|1290000}} and {{Kbn|2618163402417|1290001}} on 2016-02-29, [https://www.primegrid.com/download/SGS_2618163402417_1290000.pdf official announcement] | # {{Kbn|2618163402417|1290000}} and {{Kbn|2618163402417|1290001}} on 2016-02-29, [https://www.primegrid.com/download/SGS_2618163402417_1290000.pdf official announcement] | ||
| + | # {{Kbn|18543637900515|666667}} and {{Kbn|18543637900515|666668}} on 2012-04-09, [https://www.primegrid.com/download/SGS-666667.pdf official announcement] | ||
===Twin pairs=== | ===Twin pairs=== | ||
# {{Kbn|2996863034895|1290000}} and {{Kbn|+|2996863034895|1290000}} on 2016-09-14, [https://www.primegrid.com/download/twin-1290000.pdf official announcement] | # {{Kbn|2996863034895|1290000}} and {{Kbn|+|2996863034895|1290000}} on 2016-09-14, [https://www.primegrid.com/download/twin-1290000.pdf official announcement] | ||
| + | # {{Kbn|3756801695685|666669}} and {{Kbn|+|3756801695685|666669}} on 2011-12-25, [https://www.primegrid.com/download/twin-666669.pdf official announcement] | ||
==History== | ==History== | ||
==See also== | ==See also== | ||
| − | + | * [[Sophie Germain prime]] | |
| + | * [[Twin prime]] | ||
| + | * [[PrimeGrid]] | ||
==External links== | ==External links== | ||
[https://www.primegrid.com/forum_thread.php?id=1450 Sophie Germain Prime Search forum introduction thread] | [https://www.primegrid.com/forum_thread.php?id=1450 Sophie Germain Prime Search forum introduction thread] | ||
[[Category:PrimeGrid]] | [[Category:PrimeGrid]] | ||
Revision as of 08:18, 15 June 2020
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The Sophie Germain Search is a PrimeGrid sub-project searching for Sophie Germain and Twin prime pairs. It was launched in 2009 as a successor to the Twin Prime Search sub-project.
Contents
Search range
The current iteration of the project is searching for prime numbers of the form k×21290000-1, for k ≤ 10 trillion. Sophie Germain pairs take the form k×21290001-1, and Twin pairs take the form k×21290000+1.
As of June 2020, the search is currently at k = 5.4 trillion. Live status
The first version of the project searched for prime numbers k×2n-1 for 666,666 ≤ n ≤ 666,691 with varying ranges of k values up to 38.5 trillion.
Found primes
As of June 2020 the project has found over 8200 primes, with 2 Sophie Germain pairs and 2 Twin pairs.
Sophie Germain pairs
- 2618163402417•21290000-1 and 2618163402417•21290001-1 on 2016-02-29, official announcement
- 18543637900515•2666667-1 and 18543637900515•2666668-1 on 2012-04-09, official announcement
Twin pairs
- 2996863034895•21290000-1 and 2996863034895•21290000+1 on 2016-09-14, official announcement
- 3756801695685•2666669-1 and 3756801695685•2666669+1 on 2011-12-25, official announcement
