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

Author

Vladimir Joseph Stephan Orlovsky, May 14 2008

Keywords

• nonn
• easy

Examples

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

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 17 eq 12 ]; // Vincenzo Librandi, Aug 15 2012

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 *)

PARI

is(n)=isprime(n) && n%17==12 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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

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