A225672 - OEIS

%I #19 Nov 08 2024 07:18:38

%S 3,5,137,381

%N Primes p such that the Wilson quotient of the p-th prime is also prime.

%H Jonathan Sondow, <a href="http://arxiv.org/abs/1110.3113">Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771</a>, in Proceedings of CANT 2011, arXiv:1110.3113

%H Jonathan Sondow, <a href="http://dx.doi.org/10.1007/978-1-4939-1601-6_17">Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771</a>, Combinatorial and Additive Number Theory, CANT 2011 and 2012, Springer Proc. in Math. & Stat., vol. 101 (2014), pp. 243-255.

%e The 5th prime is 11 and the Wilson quotient of 11 is ((11-1)!+1)/11 = 329891, which is prime, so 5 is a term.

%Y Cf. A007619, A050299, A122696.

%K nonn,more

%O 1,1

%A _Jonathan Sondow_, May 20 2013