Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Primes p such that W_p == 2 (mod p), where W_p = A007619(n) and p = prime(n).
0

%I #13 Jan 24 2021 14:56:19

%S 19,1187,14296621,16556218163369

%N Primes p such that W_p == 2 (mod p), where W_p = A007619(n) and p = prime(n).

%C These are the members of René Gy's set W_2 (cf. Gy, 2018).

%C The sequence is complete to 2*10^13, with the higher terms coming from a list of primes with small Wilson quotients in the article by Costa, Gerbicz, and Harvey. - _John Blythe Dobson_, Jan 05 2021

%H Edgar Costa, Robert Gerbicz, and David Harvey, <a href="https://doi.org/10.1090/S0025-5718-2014-02800-7">A search for Wilson primes</a>, Mathematics of Computation 83 (2014) 3071-3091.

%H R. Gy, <a href="http://math.colgate.edu/~integers/s10/s10.mail.html">Generalized Lerch Primes</a>, Integers: Electronic Journal of Combinatorial Number Theory 18, (2018), #A10.

%o (PARI) forprime(p=1, , if(Mod(((p-1)!+1)/p, p)==2, print1(p, ", ")))

%Y Cf. A007540, A197632.

%K nonn,hard,more

%O 1,1

%A _Felix Fröhlich_, Sep 08 2018