23

This number is a prime.

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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: 2011-02-14 04:45:46;   Last Modified: 2011-02-17 00:02:52.
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