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

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If S(n) is the sum of the first n primes, then the limit of S(2n)/S(n) = 4, as n approaches infinity. [Capelle]


  Submitted: 2007-10-15 14:12:19;   Last Modified: 2008-01-30 11:28:00.

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