A051649 Primes of the form 2310*p + 1 where p is a prime.

4621, 11551, 25411, 43891, 108571, 164011, 168631, 224071, 251791, 261031, 316471, 321091, 348811, 376531, 385771, 459691, 528991, 552091, 607531, 626011, 718411, 723031, 732271, 764611, 801571, 815431, 875491, 995611, 1000231, 1055671, 1064911, 1106491, 1161931

Offset: 1

Author

Labos Elemer

Keywords

• nonn

Comments

Generalization of A005385; can be called 2310-safe primes.

A002110(5)*p + 1 = 2310*p + 1 (prime).

Examples

			11551 is a term because 11551 = 2310*p + 1 is prime, where p = 5.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from Harvey P. Dale)

Crossrefs

Cf. A002110, A005384, A005385, A007693, A051653.

Programs

Mathematica

Select[Table[2310n+1,{n,Prime[Range[100]]}],PrimeQ] (* Harvey P. Dale, Jan 18 2017 *)

PARI

isok(k) = isprime(k) && k % 2310 == 1 && isprime((k-1)/2310); \\ Amiram Eldar, Feb 24 2025

Formula

a(n) = 2310 * A051653(n) + 1. - Amiram Eldar, Feb 24 2025