A142650 Primes congruent to 23 mod 56.

23, 79, 191, 359, 751, 863, 919, 1031, 1087, 1367, 1423, 1759, 1871, 2039, 2207, 2543, 2711, 2767, 2879, 3271, 3607, 3719, 3943, 4111, 4391, 4447, 4783, 4951, 5119, 5231, 5399, 5623, 5791, 5903, 6911, 6967, 7079, 7247, 7583, 7639, 7919, 8087, 8311, 8423

Offset

1,1

Links

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

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016

Mathematica

Select[Prime[Range[1100]], Mod[#, 56]==23&] (* Harvey P. Dale, Jul 14 2011 *)
Select[Prime[Range[1300]], MemberQ[{23}, Mod[#, 56]] &] (* Vincenzo Librandi, Sep 01 2012 *)
Select[Range[23, 8500, 56], PrimeQ] (* Harvey P. Dale, Apr 13 2020 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 56 eq 23 ]; // Vincenzo Librandi, Sep 01 2012
(PARI) is(n)=isprime(n) && n%56==23 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A302281 A141974 A364148 * A078597 A280576 A160297

Adjacent sequences: A142647 A142648 A142649 * A142651 A142652 A142653

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved