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
Links
- Vincenzo Librandi, Table of n, a(n) for n = 1..1000
Programs
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Magma
[p: p in PrimesUpTo(8000) | p mod 23 eq 12 ]; // Vincenzo Librandi, Aug 16 2012
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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 *)
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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