A142324 Primes congruent to 23 mod 45.

23, 113, 293, 383, 563, 653, 743, 1013, 1103, 1193, 1283, 1373, 1553, 1733, 1823, 1913, 2003, 2273, 2543, 2633, 2903, 3083, 3533, 3623, 3803, 4073, 4253, 4523, 4703, 4793, 4973, 5153, 5333, 5693, 5783, 6053, 6143, 6323, 6863, 7043, 7583, 7673, 7853, 8123

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 02 2016

Mathematica

Select[Range[23, 30000, 90], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[1200]], MemberQ[{23}, Mod[#, 45]] &] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 23]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%45==23 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040, A142322.

Sequence in context: A071634 A234252 A101804 * A337425 A233362 A288751

Adjacent sequences: A142321 A142322 A142323 * A142325 A142326 A142327

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved