A142355 Primes congruent to 2 mod 47.

2, 331, 613, 1459, 1553, 1741, 2399, 2963, 3433, 3527, 4091, 4373, 4561, 4937, 5407, 5501, 5689, 5783, 6911, 7193, 7757, 8039, 10859, 11047, 11329, 11423, 11987, 12269, 12457, 12739, 13397, 13679, 14149, 14243, 14431, 14713, 15277, 15559, 16217, 17627

Offset

1,1

Links

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

Formula

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

Mathematica

Select[Prime[Range[2500]], MemberQ[{2}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 26 2012 *)
Select[Range[2, 20000, 47], PrimeQ] (* Harvey P. Dale, Mar 15 2022 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 2]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%47==2 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A012729 A173750 A088250 * A203608 A264942 A159488

Adjacent sequences: A142352 A142353 A142354 * A142356 A142357 A142358

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved