A142544 Primes congruent to 14 mod 53.

67, 173, 491, 809, 1021, 1657, 2081, 2293, 2399, 3671, 3989, 4201, 4519, 4943, 5261, 5791, 5897, 6427, 7487, 7699, 8017, 8123, 8971, 10243, 10667, 11197, 11621, 11833, 11939, 12893, 15013, 15331, 15649, 16073, 16603, 16921, 17027, 17239, 17981, 18617

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[{14}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 14]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==14 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A244773 A199824 A341278 * A259888 A142671 A144326

Adjacent sequences: A142541 A142542 A142543 * A142545 A142546 A142547

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved