A142533 Primes congruent to 3 mod 53.

3, 109, 1063, 1381, 1487, 1699, 2017, 2441, 2971, 3607, 4243, 4349, 4561, 5197, 5303, 5939, 6151, 6257, 6469, 7211, 7529, 7741, 8059, 8377, 9013, 9437, 9649, 9967, 10391, 10709, 11027, 11239, 11981, 12511, 12829, 13147, 14207, 14419, 14737, 14843, 15161

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[10000]], Mod[#, 53]==3&]  (* Harvey P. Dale, Mar 20 2011 *)
Select[Prime[Range[2100]], MemberQ[{3}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 29 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(16000) | p mod 53 eq 3]; // Vincenzo Librandi, Aug 29 2012
(PARI) is(n)=isprime(n) && n%53==3 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A053861 A041635 A272572 * A089904 A092252 A338472

Adjacent sequences: A142530 A142531 A142532 * A142534 A142535 A142536

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved