A142323 Primes congruent to 22 mod 45.

67, 157, 337, 607, 787, 877, 967, 1237, 1327, 1597, 1777, 1867, 2137, 2677, 2767, 2857, 3037, 3217, 3307, 3847, 4027, 4297, 4567, 4657, 5107, 5197, 5557, 5647, 5737, 5827, 6007, 6277, 6367, 6547, 6637, 6907, 6997, 7177, 7537, 7717, 8167, 8527, 8707, 8887

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(10000) | p mod 45 eq 22]; // Vincenzo Librandi, Aug 26 2012

Mathematica

Select[Prime[Range[1200]], MemberQ[{22}, Mod[#, 45]] &] (* Vincenzo Librandi, Aug 26 2012 *)
Select[Range[22,9000,45],PrimeQ] (* Harvey P. Dale, Oct 21 2013 *)

PARI

is(n)=isprime(n) && n%45==22 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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