A142403 Primes congruent to 17 mod 48.

17, 113, 257, 353, 401, 449, 593, 641, 881, 929, 977, 1217, 1361, 1409, 1553, 1601, 1697, 1889, 2081, 2129, 2273, 2417, 2609, 2657, 2753, 2801, 2897, 3041, 3089, 3137, 3329, 3617, 3761, 4001, 4049, 4241, 4289, 4337, 4481, 4673, 4721, 4817, 5009, 5153, 5297

Offset

1,1

Links

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

Formula

a(n) ~ 16n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[1000]], MemberQ[{17}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 17]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%48==17 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A139903 A362225 A105127 * A298332 A299223 A197360

Adjacent sequences: A142400 A142401 A142402 * A142404 A142405 A142406

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved