A142356 Primes congruent to 4 mod 47.

239, 521, 709, 991, 1367, 1931, 2213, 2683, 2777, 3529, 3623, 4093, 4657, 4751, 5503, 5879, 6067, 7477, 7759, 7853, 8699, 8887, 9733, 10391, 10861, 11519, 11801, 12553, 12647, 13399, 13681, 13963, 14057, 14621, 15091, 15373, 15467, 15749, 15937, 17159

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[{4}, Mod[#, 47]]&] (* Vincenzo Librandi, Aug 26 2012 *)
Select[Range[4, 18000, 47], PrimeQ] (* Harvey P. Dale, Apr 02 2023 *)

Prog

(Magma) [p: p in PrimesUpTo(18000) | p mod 47 eq 4]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%47==4 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A056086 A046012 A152952 * A142557 A164290 A201787

Adjacent sequences: A142353 A142354 A142355 * A142357 A142358 A142359

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved