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

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 37]; // Vincenzo Librandi, Aug 26 2012

Mathematica

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

PARI

is(n)=isprime(n) && n%45==37 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016