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

1,1

Links

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

Formula

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

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 *)

Prog

(Magma) [p: p in PrimesUpTo(14000) | p mod 57 eq 23 ]; // Vincenzo Librandi, Sep 02 2012
(PARI) is(n)=isprime(n) && n%57==23 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A191745 A260842 A093806 * A254758 A057883 A160221

Adjacent sequences: A142676 A142677 A142678 * A142680 A142681 A142682

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved