A142215 Primes congruent to 18 mod 41.

59, 223, 797, 1289, 1453, 1699, 2027, 2273, 2437, 2683, 3011, 3257, 4159, 4241, 4651, 4733, 5471, 5717, 5881, 6373, 6619, 6701, 6947, 7193, 7603, 8423, 8669, 9161, 9817, 10391, 10883, 11047, 11621, 11867, 12113, 12277, 13999, 14081, 14327, 14737, 14983

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, A142214.

Programs

Magma

[p: p in PrimesUpTo(16000) | p mod 41 eq 18 ]; // Vincenzo Librandi, Aug 23 2012

Mathematica

Select[Range[18,30000,41],PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 03 2011 *)
Select[Prime[Range[5000]],MemberQ[{18},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)

PARI

is(n)=isprime(n) && n%41==18 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 40n log n. - Charles R Greathouse IV, Jul 03 2016