A142313 Primes congruent to 2 mod 45.

2, 47, 137, 227, 317, 587, 677, 857, 947, 1217, 1307, 1487, 1667, 1847, 2027, 2207, 2297, 2477, 2657, 2837, 2927, 3467, 3557, 3917, 4007, 4457, 4547, 4637, 4817, 5087, 5717, 5807, 5897, 5987, 6257, 6977, 7247, 7517, 7607, 7877, 8147, 8237, 8597, 8867, 9137

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[3000]], MemberQ[{2}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 25 2012 *)
Select[Range[2, 9200, 45], PrimeQ] (* Harvey P. Dale, Apr 01 2014 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 2]; // Vincenzo Librandi, Aug 25 2012
(PARI) is(n)=isprime(n) && n%45==2 \\ Charles R Greathouse IV, Jul 02 2016

Crossrefs

Cf. A000040.

Sequence in context: A107211 A069548 A065044 * A264776 A153213 A355009

Adjacent sequences: A142310 A142311 A142312 * A142314 A142315 A142316

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved