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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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As of November 2004, (2^14479+1)/3 was the largest proven prime of the form N(p)=(2^p+1)/3. This form figures in the new Mersenne conjecture. N(14479) was proven prime by Marcel Martin's programme Primo, which yielded this certificate of an elliptic curve primality proof. [Broadhurst]


  Submitted: 2004-11-10 18:05:10;   Last Modified: 2014-08-30 10:16:45.

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