A049484 Primes p such that p + 30030 is also prime, where 30030 is the 6th primorial number A002110(6).

17, 29, 41, 59, 61, 67, 73, 79, 83, 89, 103, 107, 109, 131, 139, 151, 157, 167, 173, 181, 193, 211, 223, 229, 239, 241, 263, 277, 283, 293, 311, 317, 337, 359, 373, 397, 401, 419, 439, 461, 463, 467, 479, 487, 499, 509, 523, 547, 563, 601, 607, 613, 619, 631

Offset: 1

Author

Labos Elemer

Keywords

• nonn

Comments

p and p+30030 are not necessarily consecutive primes.

Examples

			17 is a term since it is prime and 17 + 30030 = 30047 is also prime.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A002110, A045320.

Cf. A001359, A023201, A049481, A049482, A049483, A049485, A154114.

Programs

Mathematica

Select[Prime[Range[150]],PrimeQ[#+30030]&] (* Harvey P. Dale, Sep 21 2022 *)

PARI

isok(p) = isprime(p) && isprime(p + 30030); \\ Amiram Eldar, Mar 15 2025