A142321 Primes congruent to 17 mod 45.

17, 107, 197, 467, 557, 647, 827, 1097, 1187, 1277, 1367, 1637, 1907, 1997, 2087, 2267, 2357, 2447, 2897, 3167, 3257, 3347, 3527, 3617, 3797, 4157, 4337, 4517, 4787, 4877, 4967, 5147, 5237, 5417, 5507, 5867, 6047, 6317, 6857, 6947, 7127, 7307, 7487, 7577

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[17, 10000, 90], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[1200]], MemberQ[{17}, Mod[#, 45]] &] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 17]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%45==17 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A343706 A282323 A224322 * A007682 A125327 A126485

Adjacent sequences: A142318 A142319 A142320 * A142322 A142323 A142324

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved