A142363 Primes congruent to 12 mod 47.

59, 811, 1093, 1187, 1657, 2221, 2503, 2879, 3067, 3631, 4007, 4289, 4759, 5323, 5417, 5981, 6263, 6451, 6733, 6827, 7109, 7297, 7673, 8237, 8707, 9929, 10211, 10399, 11057, 11527, 11621, 11903, 12373, 13219, 13313, 13877, 14159, 14347, 14629, 14723, 15193

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[{12}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[12, 16000, 47], PrimeQ] (* Harvey P. Dale, Mar 14 2015 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 12]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==12 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A263127 A308649 A274503 * A215433 A093259 A336576

Adjacent sequences: A142360 A142361 A142362 * A142364 A142365 A142366

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved