A088555 Primes of the form 5*p + 6 where p is a prime.

31, 41, 61, 71, 101, 151, 191, 211, 241, 271, 311, 401, 421, 491, 521, 541, 571, 641, 661, 691, 701, 751, 761, 821, 911, 971, 991, 1061, 1151, 1171, 1201, 1291, 1321, 1361, 1471, 1571, 1741, 1801, 1871, 1901, 1951, 2011, 2111, 2161, 2221, 2251, 2311, 2341

Offset: 1

Author

Ray Chandler, Nov 28 2003

Keywords

• nonn
• easy

Comments

Primes arising in A023219.

Subsequence of A030430.

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..3400

Crossrefs

Cf. A023219, A030430, A088561, A090161.

Programs

Magma

[5*p+6: p in PrimesUpTo(600)| IsPrime(5*p+6)]; // Vincenzo Librandi, May 19 2017

Mathematica

6 + 5 Select[Prime[Range[200]], PrimeQ[5 # + 6] &] (* Vincenzo Librandi, May 19 2017 *)

PARI

forprime(p=2,500,my(pp=5*p+6);if(isprime(pp),print1(pp,", "))) \\ Hugo Pfoertner, Aug 06 2021

Formula

a(n) = 5*A023219(n) + 6.

Extensions

Name clarified by Jinyuan Wang, Aug 06 2021