A142357 Primes congruent to 6 mod 47.

53, 241, 523, 617, 1087, 1181, 1933, 2027, 2309, 2591, 3061, 3343, 3719, 3907, 4001, 4283, 5693, 5881, 6163, 6257, 7103, 7573, 7949, 8231, 8419, 8513, 9547, 9829, 9923, 10111, 10487, 10957, 11239, 11897, 12743, 14153, 14341, 14717, 15187, 16033, 16127

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[47Range[350]+6, PrimeQ] (* Harvey P. Dale, Jun 20 2011 *)
Select[Prime[Range[2500]], MemberQ[{6}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 6]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%47==6 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A142026 A084669 A256339 * A142061 A107150 A036911

Adjacent sequences: A142354 A142355 A142356 * A142358 A142359 A142360

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved