A051653 Primes p such that 2310*p + 1 is also prime.

2, 5, 11, 19, 47, 71, 73, 97, 109, 113, 137, 139, 151, 163, 167, 199, 229, 239, 263, 271, 311, 313, 317, 331, 347, 353, 379, 431, 433, 457, 461, 479, 503, 509, 523, 593, 599, 613, 617, 691, 701, 727, 761, 797, 811, 823, 853, 863, 883, 929, 937, 941, 947, 953

Offset

1,1

Links

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

Formula

a(n) = (A051649(n)-1)/2310. - Amiram Eldar, Feb 24 2025

Example

p = 2 and 2310*p + 1 = 4621 are both primes.

Mathematica

Select[Prime[Range[200]], PrimeQ[2310#+1]&] (* Harvey P. Dale, Oct 14 2014 *)

Prog

(PARI) isok(k) = isprime(k) && isprime(2310*k+1); \\ Amiram Eldar, Feb 24 2025

Crossrefs

Cf. A005384, A002110, A005385, A051649.

Sequence in context: A166164 A097008 A276591 * A106015 A178316 A179632

Adjacent sequences: A051650 A051651 A051652 * A051654 A051655 A051656

Keyword

nonn

Author

Labos Elemer

Status

approved