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.

Search range

The current iteration of the project is searching for prime numbers of the form k×2^1290000-1, for k ≤ 10 trillion. Sophie Germain pairs take the form k×2^1290001-1, and Twin pairs take the form k×2^1290000+1.

As of June 2020, the search is currently at k = 5.4 trillion. Live status

Found primes

As of June 2020 the project has found over 4600 primes, with one Sophie Germain and one Twin pair.

Sophie Germain pairs

1. 2618163402417•2^1290000-1 and 2618163402417•2^1290001-1 on 2016-02-29, official announcement

Twin pairs

1. 2996863034895•2^1290000-1 and 2996863034895•2^1290000+1 on 2016-09-14, official announcement

External links

Sophie Germain Prime Search forum introduction thread