A225672 Primes p such that the Wilson quotient of the p-th prime is also prime.

3, 5, 137, 381

Offset

1,1

Links

Table of n, a(n) for n=1..4.

J. Sondow, Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771, in Proceedings of CANT 2011, arXiv:1110.3113

J. Sondow, Lerch Quotients, Lerch Primes, Fermat-Wilson Quotients, and the Wieferich-non-Wilson Primes 2, 3, 14771, Combinatorial and Additive Number Theory, CANT 2011 and 2012, Springer Proc. in Math. & Stat., vol. 101 (2014), pp. 243-255.

Example

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

Crossrefs

Cf. A007619, A050299, A122696.

Sequence in context: A103993 A088269 A164371 * A355803 A240125 A108013

Adjacent sequences: A225669 A225670 A225671 * A225673 A225674 A225675

Keyword

nonn

Author

Jonathan Sondow, May 20 2013

Status

approved