A138627 Primes congruent to 10 mod 17.

61, 163, 197, 367, 401, 503, 571, 673, 809, 877, 911, 1013, 1217, 1319, 1489, 1523, 1693, 1931, 1999, 2203, 2237, 2339, 2441, 2543, 2713, 2917, 3019, 3121, 3257, 3359, 3461, 3529, 3631, 3733, 3767, 4073, 4243, 4447, 4481, 4549, 4583, 4651, 4787, 4889, 4957

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*4-7=61, 17*10-7=163, 17*12-7=197, 17*22-7=367, ...

Mathematica

a={}; Do[x=17*n-7; If[PrimeQ[x], AppendTo[a, x]], {n, 10^2}]; a
Select[Prime[Range[700]], MemberQ[{10}, Mod[#, 17]]&] (* Vincenzo Librandi, Aug 15 2012 *)
Select[Range[10, 5000, 17], PrimeQ] (* Harvey P. Dale, Feb 17 2021 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 17 eq 10 ]; // Vincenzo Librandi, Aug 15 2012
(PARI) is(n)=isprime(n) && n%17==10 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A062661 A044393 A044774 * A161853 A106096 A142482

Adjacent sequences: A138624 A138625 A138626 * A138628 A138629 A138630

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