A142679 Primes congruent to 23 mod 57.

23, 137, 251, 479, 593, 821, 1049, 1163, 1277, 1619, 1733, 1847, 2417, 2531, 3329, 3557, 3671, 4013, 4127, 4241, 4583, 5039, 5153, 5381, 6521, 6863, 6977, 7433, 7547, 8117, 8231, 8573, 9029, 9257, 9371, 9941, 10169, 10739, 10853, 11423, 12107, 12791, 13931

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(14000) | p mod 57 eq 23 ]; // Vincenzo Librandi, Sep 02 2012

Mathematica

Select[Prime[Range[2400]], MemberQ[{23}, Mod[#, 57]] &] (* Vincenzo Librandi, Sep 02 2012 *)
Select[Range[23,14000,57],PrimeQ] (* Harvey P. Dale, Feb 13 2023 *)

PARI

is(n)=isprime(n) && n%57==23 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 03 2016