The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A319025 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 19 07:05 EDT 2024. Contains 372666 sequences. (Running on oeis4.)