A142369 Primes congruent to 18 mod 47.

347, 911, 1193, 1381, 1663, 2039, 2791, 3167, 3449, 3637, 3919, 4013, 4201, 4483, 5987, 6269, 6551, 6833, 7867, 8243, 8431, 8713, 8807, 9277, 9371, 10499, 10687, 10781, 11251, 11909, 12097, 12379, 12473, 13037, 13789, 13883, 14071, 14447, 15199, 16139, 16421

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 18]; // Vincenzo Librandi, Aug 27 2012

Mathematica

Select[Prime[Range[2500]],MemberQ[{18},Mod[#,47]]&] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[18,17000,47],PrimeQ] (* Harvey P. Dale, Mar 06 2016 *)

PARI

is(n)=isprime(n) && n%47==18 \\ Charles R Greathouse IV, Jul 03 2016

Formula

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