

A286208


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


3




OFFSET

1,1


COMMENTS

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 = qp > 2.
It follows that (d1)! == 1 (mod q). Listed terms correspond to d = 12, 30, 76 (cf. A286230). Further terms should have d>=140.
Also, primes q=prime(n) such that A275111(n1)=1, and (prime(n1),prime(n)) are not twin primes (i.e., q is not a term of A006512).


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CROSSREFS



KEYWORD

bref,nonn,more


AUTHOR



STATUS

approved



