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All exponents below 46 629 383 have been tested and verified. All exponents below 82 859 239 have been tested at least once. 51st Known Mersenne Prime Found! December 21, 2018 — The has discovered the largest known prime number, 2 82,589,933-1, having. A computer volunteered by Patrick Laroche from Ocala, Florida made the find on December 7, 2018. The new prime number, also known as, is calculated by multiplying together 82,589,933 twos and then subtracting one. It is more than one and a half million digits larger than the.

GIMPS has been on amazing lucky streak finding triple the expected number of new Mersenne primes -- a dozen in the last fifteen years. This prime was even luckier for Patrick Laroche, striking pay dirt on just his fourth try.

For years, Patrick had used GIMPS software as a free 'stress test' for his computer builds. Less than four months ago he started prime hunting on his media server to give back to the project. By way of comparison, some GIMPS participants have searched for more than 20 years with tens of thousands of attempts but no success. This proves that, with luck, anyone can find the next new Mersenne prime.

The new prime is only the 51st known Mersenne prime ever discovered. Mersenne primes were named for the French monk, who studied these numbers more than 350 years ago.

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GIMPS, founded in 1996, has discovered the last 17 Mersenne primes. Volunteers to search for these primes, with a cash award offered to anyone lucky enough to find a new prime. Chris Caldwell maintains an authoritative web site on, and has an excellent.

Patrick is one of thousands of volunteers using free GIMPS software available at. Credit for this prime goes not only to Patrick Laroche for running the Prime95 software, Woltman for writing the software, Blosser for keeping the Primenet server running smoothly, and the thousands of GIMPS volunteers that sifted through millions of non-prime candidates. In recognition of all the above people, official credit for this discovery goes to 'P. Blosser, et al.' You can read a little more in the.

- Recommended update Version 29.4 (build 7 or 8) is the latest version available for. The most significant change with version 29 builds are the changes to 'probable prime' (PRP) tests. An error checking method called Gerbicz (named for Robert Gerbicz who proposed the method) can help ensure an error-free PRP test and may eventually be a way to eliminate the need for double-checks. Additionally, Jacobi error checks have been added to LL tests to help identify errors and can roll back a test to the 'last known good' save file if an error was detected. This should help reduce the error rate of completed tests as more users update to the latest version. Other improvements include fast, multi-threaded trial factoring for multi-core CPUs, plus AVX512 support for trial factoring.