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

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, A142322.

Programs

Magma

[p: p in PrimesUpTo(10000) | p mod 45 eq 23]; // Vincenzo Librandi, Aug 26 2012

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 *)

PARI

is(n)=isprime(n) && n%45==23 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 02 2016