A142331 Primes congruent to 37 mod 45.

37, 127, 307, 397, 487, 577, 757, 937, 1117, 1297, 1567, 1657, 1747, 2017, 2287, 2377, 2467, 2557, 2647, 2917, 3187, 3457, 3547, 3637, 3727, 3907, 4177, 4357, 4447, 4987, 5077, 5167, 5347, 5437, 5527, 6067, 6247, 6337, 6427, 6607, 6967, 7057, 7237, 7417

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 03 2016

Mathematica

Select[Prime[Range[1200]], MemberQ[{37}, Mod[#, 45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(10000) | p mod 45 eq 37]; // Vincenzo Librandi, Aug 26 2012
(PARI) is(n)=isprime(n) && n%45==37 \\ Charles R Greathouse IV, Jul 03 2016

Crossrefs

Cf. A000040.

Sequence in context: A250891 A250898 A165811 * A250899 A139734 A142388

Adjacent sequences: A142328 A142329 A142330 * A142332 A142333 A142334

Keyword

nonn,easy

Author

N. J. A. Sloane, Jul 11 2008

Status

approved