A142404 Primes congruent to 19 mod 48.

19, 67, 163, 211, 307, 499, 547, 643, 691, 739, 787, 883, 1123, 1171, 1459, 1699, 1747, 1987, 2083, 2131, 2179, 2371, 2467, 2659, 2707, 2803, 2851, 3187, 3331, 3571, 3907, 4003, 4051, 4099, 4243, 4339, 4483, 4723, 5011, 5059, 5107, 5347, 5443, 5683, 5779

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[Range[19, 5800, 48], PrimeQ] (* Harvey P. Dale, May 02 2012 *)
Select[Prime[Range[1000]], MemberQ[{19}, Mod[#, 48]] &] (* Vincenzo Librandi, Aug 27 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(6000) | p mod 48 eq 19]; // Vincenzo Librandi, Aug 27 2012
(PARI) is(n)=isprime(n) && n%48==19 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A201781 A165806 A357676 * A139927 A337197 A357365

Adjacent sequences: A142401 A142402 A142403 * A142405 A142406 A142407

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved