A141859 Primes congruent to 12 mod 13.

103, 181, 233, 311, 337, 389, 467, 571, 701, 727, 857, 883, 1013, 1039, 1091, 1117, 1429, 1481, 1559, 1637, 1663, 1741, 1871, 1949, 2027, 2053, 2131, 2287, 2339, 2417, 2521, 2677, 2729, 2833, 2963, 3041, 3067, 3119, 3301, 3457, 3613, 3691, 3769, 3821, 3847

Offset

1,1

Links

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

Formula

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Range[12, 50000, 13], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 13 2011 *)
Select[Prime[Range[600]], Mod[#, 13]==12&] (* Harvey P. Dale, Feb 02 2023 *)

Prog

(Magma) [ p: p in PrimesUpTo(5000) | p mod 13 eq 12 ]; // Vincenzo Librandi, Apr 19 2011
(PARI) is(n)=isprime(n) && n%13==12 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Sequence in context: A142942 A142098 A141873 * A136075 A142174 A265497

Adjacent sequences: A141856 A141857 A141858 * A141860 A141861 A141862

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved