A142455 Primes congruent to 48 mod 49.

97, 293, 587, 881, 1567, 1861, 2351, 2939, 3037, 3331, 3527, 3821, 3919, 4409, 4507, 4703, 4801, 5683, 5879, 6173, 6271, 6761, 7349, 7643, 7741, 7937, 8231, 8329, 8623, 8819, 10093, 10289, 11171, 12347, 12641, 12739, 13033, 13229, 13327, 13523, 14503

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

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

Mathematica

Select[Range[48, 15000, 49], PrimeQ] (* Harvey P. Dale, Nov 21 2011 *)
Select[Prime[Range[2500]], MemberQ[{48}, Mod[#, 49]] &] (* Vincenzo Librandi, Aug 28 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(17000) | p mod 49 eq 48]; // Vincenzo Librandi, Aug 28 2012
(PARI) is(n)=isprime(n) && n%49==48 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A123033 A142008 A008873 * A159507 A141899 A140627

Adjacent sequences: A142452 A142453 A142454 * A142456 A142457 A142458

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved