A142206 Primes congruent to 9 mod 41.

173, 337, 419, 829, 911, 1321, 1567, 2141, 2551, 2633, 2797, 2879, 3371, 3617, 3863, 4027, 4273, 4519, 5011, 5503, 5749, 6323, 6569, 6733, 7307, 7717, 7963, 8209, 8291, 8537, 8783, 9029, 9439, 9521, 9767, 9931, 10177, 10259, 11161, 11243, 11489, 11981

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, A142205.

Programs

Magma

[p: p in PrimesUpTo(15000) | p mod 41 eq 9 ]; // Vincenzo Librandi, Aug 23 2012

Mathematica

Select[Prime[Range[1500]],Mod[#,41]==9&]  (* Harvey P. Dale, Apr 22 2011 *)
Select[Prime[Range[5000]],MemberQ[{9},Mod[#,41]]&] (* Vincenzo Librandi, Aug 23 2012 *)
Select[Range[9,12000,41],PrimeQ] (* Harvey P. Dale, Mar 12 2014 *)

PARI

is(n)=isprime(n) && n%41==9 \\ Charles R Greathouse IV, Jul 02 2016

Formula

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