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

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Any composite number n has a witness (i.e., does not pass Miller's test) less than 70(ln n)^2 if the Riemann hypothesis is true.


  Submitted: 2004-01-03 23:03:12;   Last Modified: 2008-01-30 11:28:00.

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