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

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The only known prime difference between the number of semigroups of order n and the number of groups of order n, for any integer n. For n = 3, there are 24 nonisomorphic semigroups, and a unique (cyclic) group, so 24-1 = 23. [Post]


  Submitted: 2011-02-13 22:45:46;   Last Modified: 2011-02-16 18:02:52.

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