A138623 Primes congruent to 5 mod 17.

5, 73, 107, 277, 311, 379, 617, 719, 787, 821, 991, 1093, 1229, 1297, 1399, 1433, 1637, 2011, 2113, 2351, 2521, 2657, 2861, 2963, 3167, 3371, 3541, 3643, 3677, 3779, 3847, 3881, 4051, 4153, 4289, 4357, 4391, 4493, 4561, 4663, 4799, 4969, 5003, 5309, 5479

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, May 14 2008

Keywords

• nonn
• easy

Examples

			17*0+5=5, 17*4+5=73, 17*6+5=107, 17*16+5=277,...
		

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 5 ]; // 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[800]], MemberQ[{5}, Mod[#, 17]] &] (* Vincenzo Librandi, Aug 15 2012 *)
Select[Range[5,5500,17],PrimeQ] (* Harvey P. Dale, Aug 10 2021 *)

PARI

is(n)=isprime(n) && n%17==5 \\ 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