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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 (list; graph; refs; listen; history; text; internal format)
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).

LINKS

Table of n, a(n) for n=1..3.

CROSSREFS

Subsequence of A166864.

Cf. A275111, A286181, A286230.

Sequence in context: A286181 A045277 A099498 * A268583 A045292 A115426

Adjacent sequences:  A286205 A286206 A286207 * A286209 A286210 A286211

KEYWORD

bref,nonn,more

AUTHOR

Max Alekseyev and Thomas Ordowski, May 04 2017

STATUS

approved

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Last modified April 23 22:41 EDT 2019. Contains 322389 sequences. (Running on oeis4.)