A142542 Primes congruent to 12 mod 53.

277, 383, 701, 1019, 1231, 1549, 1867, 1973, 2503, 2609, 2927, 3457, 3881, 4093, 4517, 4729, 5153, 5471, 5683, 6637, 7591, 8863, 8969, 9181, 9817, 9923, 10453, 10559, 10771, 11831, 12043, 12149, 13103, 13421, 13633, 14057, 15329, 15541, 15647, 15859, 17449

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.

Programs

Magma

[p: p in PrimesUpTo(20000) | p mod 53 eq 12]; // Vincenzo Librandi, Aug 29 2012

Mathematica

Select[Prime[Range[2600]], MemberQ[{12}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[12,20000,53],PrimeQ] (* Harvey P. Dale, Dec 12 2013 *)

PARI

is(n)=isprime(n) && n%53==12 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 03 2016