A142209 Primes congruent to 12 mod 41.

53, 463, 709, 1201, 1283, 1447, 1693, 2267, 2677, 3169, 3251, 3907, 3989, 4153, 4481, 4973, 5711, 6121, 6203, 6367, 6449, 7187, 7351, 7433, 8089, 8171, 8581, 8663, 9319, 9811, 10139, 10303, 10631, 11287, 11369, 11779, 12107, 12517, 12763, 13009, 13337

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, A059236, A142199, A142200, A142208.

Programs

Magma

[p: p in PrimesUpTo(16000) | p mod 41 eq 12 ]; // Vincenzo Librandi, Aug 23 2012

Mathematica

Select[Range[12,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, May 17 2011 *)
Select[Prime[Range[5000]],MemberQ[{12},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)

PARI

is(n)=isprime(n) && n%41==12 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 02 2016