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

1,1

Comments

p and p+30030 are not necessarily consecutive primes.

Links

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Cf. A002110, A045320.

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

Sequence in context: A196668 A096785 A104228 * A274465 A110573 A190497

Adjacent sequences: A049481 A049482 A049483 * A049485 A049486 A049487

Keyword

nonn

Author

Labos Elemer

Status

approved