A142715 Primes congruent to 31 mod 58.

31, 89, 263, 379, 727, 1249, 1307, 1423, 1481, 1597, 2003, 2293, 2351, 2467, 2699, 3163, 3221, 3511, 3917, 4091, 4729, 4787, 4903, 5077, 5309, 5483, 5657, 6121, 6353, 6469, 6701, 6991, 7687, 7919, 8093, 8209, 8731, 8963, 9137, 9311, 9601, 9833, 9949, 10007

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A141978.

Programs

Magma

[p: p in PrimesUpTo(10500) | p mod 58 eq 31 ]; // Vincenzo Librandi, Sep 02 2012

Mathematica

Select[Prime[Range[1300]], MemberQ[{31}, Mod[#, 58]] &] (* Vincenzo Librandi, Sep 02 2012 *)

PARI

is(n)=isprime(n) && n%58==31 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 28n log n. - Charles R Greathouse IV, Jul 03 2016