A142750 Primes congruent to 23 mod 59.

23, 613, 967, 1321, 1439, 2029, 2383, 3209, 3917, 4153, 4271, 4507, 4861, 5333, 5569, 5923, 6277, 7103, 7457, 9109, 9227, 9463, 9817, 10289, 11351, 11587, 11941, 12413, 13003, 13121, 13711, 13829, 14419, 14537, 14891, 16189, 16661, 17959, 18077, 18313

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(19000) | p mod 59 eq 23 ]; // Vincenzo Librandi, Sep 03 2012

Mathematica

Select[Prime[Range[2300]], MemberQ[{23}, Mod[#, 59]] &] (* Vincenzo Librandi, Sep 03 2012 *)
Select[Range[23,20000,59],PrimeQ] (* Harvey P. Dale, Sep 26 2016 *)

PARI

is(n)=isprime(n) && n%59==23 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 58n log n. - Charles R Greathouse IV, Jul 03 2016