A142560 Primes congruent to 30 mod 53.

83, 401, 613, 719, 1249, 1567, 2203, 2309, 2521, 3581, 3793, 4111, 4217, 5171, 5701, 5807, 6337, 6761, 7079, 7927, 8563, 8669, 9199, 9623, 9941, 10259, 10789, 11213, 11743, 12379, 12697, 13121, 13757, 14923, 15241, 15559, 15877, 16301, 16619, 16831, 16937

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040.

Programs

Magma

[p: p in PrimesUpTo(20000) | p mod 53 eq 30]; // Vincenzo Librandi, Aug 30 2012

Mathematica

Select[Prime[Range[2600]], MemberQ[{30}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[30,17000,53],PrimeQ] (* Harvey P. Dale, Sep 22 2015 *)

PARI

is(n)=isprime(n) && n%53==30 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 02 2016