A New Solution to the Equation τ ( p ) ≡ 0 ( mod p )

Abstract

The known solutions to the equation τ(p) ≡ 0 (mod p) were p = 2, 3, 5, 7, and 2411. Here we present our method to compute the next solution, which is p = 7758337633. There are no other solutions up to 10.

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Cite this paper

@inproceedings{Lygeros2010ANS, title={A New Solution to the Equation τ ( p ) ≡ 0 ( mod p )}, author={Nik Lygeros and Olivier Rozier and Jean-Pierre Serre}, year={2010} }