There are no socialist primes less than 10⁹

2013/10/31 by Tim Trudgian
Mathematics · #math.NT #msc:11N69 #msc:11A07

paper · pdf

published as Integers, 2014, vol. 14, A63, 4pp · 4 pages; some typos corrected in version 3 and some more references added; computational range extended in version 2

arxiv created 2013/12/05 · arxiv updated 2015/07/02

Abstract

There are no primes p with 5<p<10⁹ for which 2!, 3!, …, (p-1)! are all distinct modulo p; it is conjectured that there are no such primes.

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