A142102 Primes congruent to 7 mod 36.

7, 43, 79, 151, 223, 331, 367, 439, 547, 619, 691, 727, 907, 1051, 1087, 1123, 1231, 1303, 1447, 1483, 1627, 1663, 1699, 1879, 1951, 1987, 2131, 2203, 2239, 2311, 2347, 2383, 2671, 2707, 2851, 2887, 3067, 3319, 3391, 3463, 3499, 3571, 3607, 3643, 3823, 3931

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(5000) | p mod 36 eq 7 ]; // Vincenzo Librandi, Aug 19 2012

Mathematica

Select[Prime[Range[1500]],MemberQ[{7},Mod[#,36]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PARI

is(n)=isprime(n) && n%36==7 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 12n log n. - Charles R Greathouse IV, Jul 02 2016