A142364 Primes congruent to 13 mod 47.

13, 107, 389, 577, 859, 953, 1423, 1987, 2081, 2269, 2551, 2833, 2927, 3209, 3491, 4243, 4337, 5653, 6029, 6217, 6311, 6781, 8191, 8849, 9319, 9413, 9601, 9883, 10259, 10729, 12421, 12703, 13267, 13831, 14207, 14489, 14771, 15053, 15241, 16087, 16369, 16651

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[{13}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[13, 17000, 47], PrimeQ] (* Harvey P. Dale, Mar 24 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 13]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==13 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A295648 A218093 A132261 * A164301 A322499 A087305

Adjacent sequences: A142361 A142362 A142363 * A142365 A142366 A142367

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved