A142561 Primes congruent to 31 mod 53.

31, 137, 349, 773, 1091, 1303, 1409, 1621, 2999, 3529, 3847, 4271, 4483, 4801, 5119, 5437, 5861, 6073, 6709, 7027, 7451, 8087, 9041, 9677, 10313, 10631, 10949, 11161, 11903, 12433, 12539, 14341, 14447, 15083, 15401, 16249, 16567, 16673, 17203, 17627, 17839

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 31]; // Vincenzo Librandi, Aug 30 2012

Mathematica

Select[Prime[Range[2600]], MemberQ[{31}, Mod[#, 53]] &] (* Vincenzo Librandi, Aug 30 2012 *)
Select[Range[31,18000,53],PrimeQ] (* Harvey P. Dale, Sep 03 2012 *)

PARI

is(n)=isprime(n) && n%53==31 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 52n log n. - Charles R Greathouse IV, Jul 03 2016