A142564 Primes congruent to 34 mod 53.

193, 617, 829, 1571, 1783, 1889, 2207, 2843, 3373, 3691, 3797, 4327, 4751, 5281, 5387, 6553, 6659, 6871, 6977, 7507, 8461, 8779, 9203, 9521, 9733, 9839, 10369, 10687, 11959, 12277, 13337, 14503, 14821, 15139, 15881, 16411, 16729, 17047, 17471, 17683, 17789

Offset

1,1

Links

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

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 04 2016

Mathematica

Select[Prime[Range[2600]], MemberQ[{34}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[34, 20000, 53], PrimeQ] (* Harvey P. Dale, Feb 24 2015 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 34]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==34 \\ Charles R Greathouse IV, Jul 04 2016

Crossrefs

Cf. A000040.

Sequence in context: A140631 A142117 A340230 * A174521 A374607 A204711

Adjacent sequences: A142561 A142562 A142563 * A142565 A142566 A142567

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved