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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.
3
7853, 594278556271609021, 4259842839142238791410741595983041626644087509
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 = q-p > 2.
It follows that (d-1)! == 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(n-1)=1, and (prime(n-1),prime(n)) are not twin primes (i.e., q is not a term of A006512).
CROSSREFS
Subsequence of A166864.
Sequence in context: A286181 A045277 A099498 * A268583 A045292 A115426
KEYWORD
bref,nonn,more
AUTHOR
STATUS
approved