A142132 Primes congruent to 23 mod 37.

23, 97, 467, 541, 911, 1429, 1873, 2243, 2539, 2687, 2909, 3797, 4019, 4093, 4241, 4463, 4759, 5351, 5573, 5647, 5869, 6091, 7127, 7349, 7793, 7867, 8089, 8237, 8311, 8681, 9199, 9421, 9643, 9791, 10457, 10531, 10753, 11197, 11789, 11863, 12011, 12899, 12973

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, A142130, A142131.

Programs

Magma

[p: p in PrimesUpTo(15000) | p mod 37 eq 23 ]; // Vincenzo Librandi, Aug 19 2012

Mathematica

Select[Range[23,30000,37],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 11 2011 *)
Select[Prime[Range[5000]],MemberQ[{23},Mod[#,37]]&] (* Vincenzo Librandi, Aug 19 2012 *)

PARI

is(n)=isprime(n) && n%37==23 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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