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Old 2003-05-16, 14:41   #1
ron29730
 

22·1,153 Posts
Default The first (non-merseinne) 10 million-digit prime number!!!

If this qualifies for the contest for $100,000, then let GIMPS do with the money as they see fit.

Since by adding 1 to N! gives a prime number (N! + 1 cannot be factored by any number =<N), this is a simple matter of finding a factorial which has 10 million digits - the first of which being 1,737,441. This gives a prime of 10 million and 1 (I think) digits, with the last digit a 1. (Still computing the value, could take a couple of months :().

1,737,411!+1 = xxx...xx 1.

If, however, you need a Merseinne prime, then I have none.

Good luck in the search!!!
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