A141865 Primes congruent to 13 mod 17.

13, 47, 149, 251, 353, 421, 523, 557, 659, 727, 761, 829, 863, 1033, 1237, 1373, 1543, 1747, 1951, 2053, 2087, 2393, 2699, 2767, 2801, 2903, 2971, 3209, 3413, 3583, 3617, 3719, 3821, 3889, 3923, 4093, 4127, 4229, 4297, 4603, 4637, 4909, 4943, 5011, 5113

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A129484.

Programs

Magma

[p: p in PrimesUpTo(6000) | p mod 17 eq 13 ]; // Vincenzo Librandi, Aug 15 2012

Mathematica

Select[Range[13,5000,17],PrimeQ[#]&] (* Vladimir Joseph Stephan Orlovsky, Apr 03 2011*)
Select[Prime[Range[700]],Mod[#,17]==13&] (* Harvey P. Dale, Jan 16 2022 *)

PARI

is(n)=isprime(n) && n%17==13 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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