A142568 Primes congruent to 38 mod 53.

197, 409, 727, 1151, 1787, 1999, 2423, 2741, 2953, 3271, 3907, 4013, 4649, 4861, 4967, 5179, 6133, 6451, 7193, 7723, 7829, 8147, 8677, 8783, 9419, 9631, 9949, 10267, 10691, 10903, 12281, 12917, 13553, 14083, 14401, 15461, 15991, 16097, 17581, 18217, 18959

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 04 2016

Mathematica

Select[Prime[Range[2200]], Mod[#, 53]==38&]  (* Harvey P. Dale, Apr 29 2011 *)
Select[Prime[Range[2600]], MemberQ[{38}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 38]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==38 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A294187 A158223 A142503 * A188336 A142230 A142414

Adjacent sequences: A142565 A142566 A142567 * A142569 A142570 A142571

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved