A142417 Primes congruent to 4 mod 49.

53, 151, 347, 641, 739, 1033, 1229, 1327, 1523, 1621, 2111, 2503, 2699, 2797, 3581, 4463, 4561, 5051, 5443, 5639, 5737, 6521, 6619, 7109, 7207, 8089, 8677, 8971, 9461, 10343, 11519, 11617, 11813, 12107, 12401, 13381, 13577, 14557, 14753, 14851, 15439, 15733

Offset

1,1

Links

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

Formula

a(n) ~ 42n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[2500]], MemberQ[{4}, Mod[#, 49]] &] (* Vincenzo Librandi, Aug 27 2012 *)
Select[Range[4, 16000, 49], PrimeQ] (* Harvey P. Dale, Aug 04 2024 *)

Prog

(Magma) [p: p in PrimesUpTo(16000) | p mod 49 eq 4]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%49==4 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A251076 A142043 A175600 * A217718 A044385 A044766

Adjacent sequences: A142414 A142415 A142416 * A142418 A142419 A142420

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved