A142572 Primes congruent to 42 mod 53.

307, 1049, 1367, 1579, 2003, 2851, 2957, 3169, 3593, 3911, 4229, 4441, 4547, 4759, 5077, 5501, 7621, 7727, 8363, 8681, 8893, 8999, 10271, 10589, 11119, 11437, 12073, 12391, 12497, 13451, 14087, 14723, 15359, 15889, 16631, 16843, 17903, 18433, 18539, 19069

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[2600]], MemberQ[{42}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 42]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==42 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A098042 A125252 A308785 * A204477 A176091 A359640

Adjacent sequences: A142569 A142570 A142571 * A142573 A142574 A142575

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved