A142374 Primes congruent to 23 mod 47.

23, 211, 587, 1151, 1433, 1621, 1997, 2467, 2749, 2843, 3313, 3407, 3877, 4159, 4253, 4441, 4723, 4817, 5099, 5381, 5569, 5851, 6133, 6791, 7919, 8389, 10457, 10739, 11491, 11867, 12149, 12619, 12713, 13183, 13841, 14029, 14593, 14969, 15439, 16097, 16567

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. A000040.

Programs

Magma

[p: p in PrimesUpTo(18000) | p mod 47 eq 23]; // Vincenzo Librandi, Aug 27 2012

Mathematica

Select[Prime[Range[2000]],Mod[#,47]==23&] (* Harvey P. Dale, Feb 05 2012 *)
Select[Prime[Range[2500]],MemberQ[{23},Mod[#,47]]&] (* Vincenzo Librandi, Aug 27 2012 *)

PARI

is(n)=isprime(n) && n%47==23 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 46n log n. - Charles R Greathouse IV, Jul 03 2016