A141916 Primes congruent to 12 mod 23.

127, 173, 311, 449, 541, 587, 863, 1093, 1231, 1277, 1553, 1783, 2243, 2381, 2473, 2657, 2749, 2887, 3163, 3209, 3301, 3347, 3623, 3761, 3853, 4129, 4451, 4957, 5003, 5233, 5279, 5417, 5647, 5693, 5923, 6199, 6337, 6521, 6659, 7027, 7211, 7349, 7487, 7717

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, A040984, A141908, A100201.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 23 eq 12 ]; // Vincenzo Librandi, Aug 16 2012

Mathematica

Select[Range[12,10000,23],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 05 2011 *)
Select[Prime[Range[1000]],Mod[#,23]==12&] (* Harvey P. Dale, Oct 23 2020 *)

PARI

is(n)=isprime(n) && n%23==12 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 22n log n. - Charles R Greathouse IV, Jul 03 2016