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Sierpiński-Riesel Base 5

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The Sierpiński-Riesel Base 5 Project is a distributed computing project. It was formerly managed by users of mersenneforum.org, and is currently a subproject on PrimeGrid.

Goal

Sierpiński-Riesel Base 5 tries to prove that k=159986 is the smallest possible Sierpiński number base 5 and that k=346802 is the smallest possible Riesel number base 5. To prove this, one must find primes for all k below the smallest known number.

How to participate

Participants in either of the projects reserve a k in the forum, then use NewPGen to sieve and then LLR to PRP test (for primality). After that, users unreserve their k again if no primes are found. Instructions to the project can be found at OmbooHankvalds guidepages.

Status

As of 29 May 2020, there are 30 Sierpiński and 63 Riesel base 5 candidate k left, for which no prime has been found.

Results

Primes from the project can be seen on the status-page of either the Sierpińskis or the Riesels.

External links