A142023 Primes congruent to 19 mod 31.

19, 577, 701, 887, 1259, 1321, 1693, 1879, 2003, 2251, 2437, 3119, 3181, 3491, 3677, 3739, 3863, 4049, 4111, 4297, 4421, 4483, 4793, 5227, 5351, 5413, 6343, 6529, 6653, 7211, 7459, 7583, 8017, 8389, 8513, 8699, 8761, 9133, 9257, 9319, 9629, 10559, 10993

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, A142005, A142006, A142019.

Programs

Magma

[p: p in PrimesUpTo(12000) | p mod 31 eq 19 ]; // Vincenzo Librandi, Aug 27 2012

Mathematica

Select[Range[19,20000,31],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Apr 30 2011 *)

PARI

is(n)=isprime(n) && n%31==19 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 30n log n. - Charles R Greathouse IV, Jul 02 2016