A142549 Primes congruent to 19 mod 53.

19, 337, 443, 761, 1291, 1609, 2351, 3517, 3623, 4153, 4259, 4789, 5107, 5531, 5743, 5849, 6379, 6803, 7121, 7333, 7757, 8287, 8923, 9029, 9241, 10301, 10513, 10831, 10937, 11149, 11467, 12421, 12527, 12739, 13163, 13693, 13799, 14011, 14753, 15601, 15919

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 03 2016

Mathematica

Select[Prime[Range[2600]], MemberQ[{19}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)
Select[Range[19, 16000, 53], PrimeQ] (* Harvey P. Dale, Jul 20 2022 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 19]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==19 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A093973 A345963 A202043 * A049629 A162805 A049664

Adjacent sequences: A142546 A142547 A142548 * A142550 A142551 A142552

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved