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New largest prime numbers known News

By overconvergent
from the waiting for two years and then two turn up at once department
Posted Sat Sep 20, 2008 at 02:36:49 PM PDT
We have previously reported on the discovery of new largest prime numbers by the Great Internet Mersenne Prime Search, a distributed search for large prime numbers. In this note we report on the discovery of two new Mersenne prime numbers.

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In late August 2008, the Mersenne number 2^{43,112,609}-1 was proved to be prime, and only a few weeks later, in early September 2008 2^{37,156,667}-1 was proved to be prime. These results were verified and released shortly afterwards. These numbers have 12,978,189 and 11,185,272 decimal digits respectively.

As they both have over 10 million decimal digits, they qualify for the Electronic Frontier Foundation's $100,000 award for the first 10 million digit prize. This prize will be shared between the discoverers and the Great Internet Mersenne Prime Search, whose press release is here.

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