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

1,1

Links

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 12]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==12 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A152715 A139654 A046504 * A142127 A142831 A105977

Adjacent sequences: A142539 A142540 A142541 * A142543 A142544 A142545

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved