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

1,1

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

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 22]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%45==22 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A142223 A033233 A335361 * A044399 A044780 A244773

Adjacent sequences: A142320 A142321 A142322 * A142324 A142325 A142326

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved