A138625 Primes congruent to 12 mod 17.

29, 97, 131, 199, 233, 607, 641, 709, 743, 811, 947, 1049, 1117, 1151, 1321, 1423, 1559, 1627, 1831, 1933, 2069, 2137, 2239, 2273, 2341, 2477, 2579, 2647, 2749, 2851, 2953, 3089, 3191, 3259, 3361, 3463, 3701, 3769, 3803, 4007, 4177, 4211, 4483, 4517, 4721

Offset

1,1

Links

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

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 02 2016

Example

17*2-5=29, 17*6-5=97, 17*8-5=131, 17*12-5=199,...

Mathematica

a={}; Do[x=17*n-5; If[PrimeQ[x], AppendTo[a, x]], {n, 10^2}]; a
Select[Prime[Range[700]], MemberQ[{12}, Mod[#, 17]]&] (* Vincenzo Librandi, Aug 15 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 17 eq 12 ]; // Vincenzo Librandi, Aug 15 2012
(PARI) is(n)=isprime(n) && n%17==12 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A046437 A044216 A044597 * A154405 A092373 A240954

Adjacent sequences: A138622 A138623 A138624 * A138626 A138627 A138628

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, May 14 2008

Extensions

More terms from N. J. A. Sloane, Jul 11 2008

Edited by N. J. A. Sloane at the suggestion of R. J. Mathar, Jul 20 2008

Status

approved