A142545 Primes congruent to 15 mod 53.

227, 439, 757, 863, 1181, 1499, 2029, 2347, 3089, 3301, 3407, 4679, 5209, 5527, 6163, 6269, 6481, 7541, 7753, 8389, 8707, 9343, 9661, 9767, 11251, 11887, 12841, 13159, 13477, 13901, 14431, 14537, 15173, 15809, 16127, 16339, 16657, 16763, 17293, 17929, 18353

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[{15}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[15, 20000, 53], PrimeQ] (* Harvey P. Dale, Jan 02 2016 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 15]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==15 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A252026 A210513 A142842 * A088788 A142390 A142219

Adjacent sequences: A142542 A142543 A142544 * A142546 A142547 A142548

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved