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Difference between revisions of "PrimeGrid Sophie Germain Search"
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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. | + | The '''Sophie Germain Search''' is a [[PrimeGrid]] sub-project searching for [[Sophie Germain prime|Sophie Germain]] and [[Twin prime]] pairs. It was launched in 2009 as a successor to the Twin Prime Search sub-project. |
==Search range== | ==Search range== | ||
| − | The current iteration of the project is searching for prime numbers of the form | + | The current iteration of the project is searching for prime numbers of the form k × 2<sup>1290000</sup> - 1, for ''k'' ≤ 10 trillion. Sophie Germain pairs take the form k × 2<sup>1290001</sup> - 1, and Twin pairs take the form k × 2<sup>1290000</sup> + 1. |
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 | + | 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== | ||
Revision as of 12:21, 15 June 2020
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
