There are no socialist primes less than 10^9

preprint2013arXivOpen access

Abstract

There are no primes pp with 5<p<1095<p<10^{9} for which 2!,3!,…,(p−1)!2!, 3!, \ldots, (p-1)! are all distinct modulo pp; it is conjectured that there are no such primes.

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