A characterization of Sophie Germain primes

Paolo Leonetti · International Journal of Number Theory · 2017

Let [Formula: see text] be an odd integer. It is shown that [Formula: see text] is a complete residue system modulo [Formula: see text] for some permutation [Formula: see text] of [Formula: see text] if and only if [Formula: see text] is a Sophie Germain prime. Partial results are obtained also for the case [Formula: see text] even.

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