A207825 Primes p such that (p+k)/(k+1) is a prime number for k = 1,...,6.

5516281, 18164161, 51755761, 175472641, 322030801, 668745001, 859992841, 1163859481, 1566071641, 3662011081, 4285181881, 4609064881, 4630772161, 5329427041, 5601138481, 5934191761, 7123263841, 7321991041, 7391371681, 7969001041, 8735990761

Offset: 1

Author

M. F. Hasler, Feb 28 2012

Keywords

• nonn

Comments

The subsequence of p in A208455 such that (p+6)/7 is a prime.

Also, the subsequence of terms of A071369 which end in the digit "1".

All terms are of the form 2520m+1. The m-values are listed in A208549.

Programs

PARI

{my(p=1); until(, isprime(p+=2520) || next; for(j=2, 7, isprime(p\j+1)||next(2)); print1(p", "))}

Formula

a(n) = A208549(n)*2520 + 1.

Extensions

a(20) and a(21) added by Robert C. Lyons, Nov 16 2024.