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

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Let ψ(n) be the natural logarithm of the least common multiple of all the numbers less than or equal to n (so ψ(6) = log(60)). The maximum value of ψ(n)/n occurs at 113. [RS62] [Caldwell]


  Submitted: 2008-03-12 22:29:17;   Last Modified: 2008-09-09 11:37:20.

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