cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A286208 Greater of Wilson's pseudo-twin primes: primes q such that p! == 1 (mod q), where p=A151799(q) is the previous prime before q, and q-p>2.

This page as a plain text file.
%I A286208 #12 May 04 2017 16:56:32
%S A286208 7853,594278556271609021,
%T A286208 4259842839142238791410741595983041626644087509
%N A286208 Greater of Wilson's pseudo-twin primes: primes q such that p! == 1 (mod q), where p=A151799(q) is the previous prime before q, and q-p>2.
%C A286208 By Wilson's theorem, p! == 1 (mod p+2) whenever (p,p+2) are twin primes. This sequence and A286181 concern consecutive primes (p,q) satisfying p! = 1 (mod q), where d = q-p > 2.
%C A286208 It follows that (d-1)! == 1 (mod q). Listed terms correspond to d = 12, 30, 76 (cf. A286230). Further terms should have d>=140.
%C A286208 Also, primes q=prime(n) such that A275111(n-1)=1, and (prime(n-1),prime(n)) are not twin primes (i.e., q is not a term of A006512).
%Y A286208 Subsequence of A166864.
%Y A286208 Cf. A275111, A286181, A286230.
%K A286208 bref,nonn,more
%O A286208 1,1
%A A286208 _Max Alekseyev_ and _Thomas Ordowski_, May 04 2017