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

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If p and q are consecutive prime numbers, then floor(p/q + q/p) = 2. Note that lim(p/q + q/p) = 2, as p and q approach infinity. [Capelle]


  Submitted: 2007-03-24 05:49:09;   Last Modified: 2008-01-30 11:28:00.

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