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

1,1

Links

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(20000) | p mod 53 eq 30]; // Vincenzo Librandi, Aug 30 2012
(PARI) is(n)=isprime(n) && n%53==30 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A340861 A160359 A142496 * A243342 A142820 A142900

Adjacent sequences: A142557 A142558 A142559 * A142561 A142562 A142563

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved