A142366 Primes congruent to 15 mod 47.

109, 673, 1049, 1237, 1613, 1801, 2083, 2459, 2647, 2741, 3023, 4057, 4339, 4621, 4903, 5279, 5749, 5843, 6689, 6971, 7159, 7253, 7723, 7817, 8287, 8663, 9133, 9227, 9697, 9791, 11483, 11953, 12329, 12517, 12611, 12799, 12893, 13457, 14303, 14867, 15149

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Formula

a(n) ~ 46n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{15}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[15, 16000, 47], PrimeQ] (* Harvey P. Dale, Aug 01 2020 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 15]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==15 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A126856 A142915 A226473 * A103734 A232039 A301743

Adjacent sequences: A142363 A142364 A142365 * A142367 A142368 A142369

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved