Twenty-fourth power residue difference sets

Evans, Ronald J.

doi:10.1090/S0025-5718-1983-0689481-4

Twenty-fourth power residue difference sets
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Math. Comp. 40 (1983), 677-683 Request permission

Abstract:

It is proved that if p is a ${\text {prime}} \equiv 1\;\pmod 24$ such that either 2 is a cubic residue or 3 is a quartic residue $\pmod p$, then the twenty-fourth powers $\pmod p$ do not form a difference set or a modified difference set.

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