A142216 Primes congruent to 19 mod 41.

19, 101, 347, 593, 757, 839, 1249, 1741, 1823, 1987, 2069, 2971, 3217, 3299, 3463, 3709, 4201, 4283, 4447, 5021, 5431, 5923, 6661, 6907, 7481, 7727, 8219, 8629, 9203, 9613, 9859, 9941, 10433, 10597, 11171, 11827, 11909, 12073, 12401, 12647, 12893, 13877

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, A144562. - Vincenzo Librandi, Jan 17 2009

Programs

Magma

[p: p in PrimesUpTo(16000) | p mod 41 eq 19 ]; // Vincenzo Librandi, Aug 23 2012

Mathematica

Select[Range[19,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)
Select[Prime[Range[5000]],MemberQ[{19},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)

PARI

is(n)=isprime(n) && n%41==19 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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