A142543 Primes congruent to 13 mod 53.

13, 331, 967, 1709, 2027, 2239, 2557, 2663, 3299, 3511, 3617, 4253, 4783, 4889, 5101, 5419, 5737, 5843, 6373, 6691, 7433, 7963, 8069, 8387, 8599, 9341, 9871, 10613, 11779, 12097, 12203, 13687, 14323, 14747, 15277, 15383, 15913, 16231, 17291, 17609, 18457

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[{13}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[13, 20000, 53], PrimeQ] (* Harvey P. Dale, Aug 04 2021 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 13]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==13 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A183440 A296018 A348087 * A258297 A266902 A029807

Adjacent sequences: A142540 A142541 A142542 * A142544 A142545 A142546

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved