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

1,1

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 17 eq 5 ]; // Vincenzo Librandi, Aug 15 2012
(PARI) is(n)=isprime(n) && n%17==5 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A136637 A319767 A341670 * A206280 A070526 A070530

Adjacent sequences: A138620 A138621 A138622 * A138624 A138625 A138626

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