A142368 Primes congruent to 17 mod 47.

17, 487, 769, 863, 1051, 1427, 1709, 2179, 2273, 2837, 3119, 3307, 4153, 4999, 5281, 5563, 5657, 5939, 6221, 6691, 7349, 7537, 8101, 9041, 9323, 9511, 9887, 10169, 10357, 10639, 10733, 11579, 12049, 12143, 12613, 13177, 13553, 14869, 15527, 15809, 16091

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[{17}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[17, 20000, 47], PrimeQ] (* Harvey P. Dale, May 26 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 17]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%47==17 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A296740 A166116 A173148 * A109305 A130660 A185659

Adjacent sequences: A142365 A142366 A142367 * A142369 A142370 A142371

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved