A142118 Primes congruent to 9 mod 37.

83, 157, 379, 601, 823, 971, 1193, 1489, 1637, 1933, 2081, 2377, 2969, 3191, 3413, 3709, 3931, 4079, 4153, 4523, 4597, 4967, 5189, 6151, 6299, 6373, 6521, 7039, 7187, 7853, 7927, 8297, 8741, 8963, 9629, 9851, 10369, 10739, 11257, 11701, 11923, 12071, 12589

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, A142114, A142115, A142116, A142117.

Programs

Magma

[p: p in PrimesUpTo(15000) | p mod 37 eq 9 ]; // Vincenzo Librandi, Aug 19 2012

Mathematica

Select[Range[9,20000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 08 2011 *)
Select[Prime[Range[5000]],MemberQ[{9},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PARI

is(n)=isprime(n) && n%37==9 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 36n log n. - Charles R Greathouse IV, Jul 02 2016