A142333 Primes congruent to 41 mod 45.

41, 131, 311, 401, 491, 761, 941, 1031, 1301, 1481, 1571, 1931, 2111, 2381, 2741, 3011, 3191, 3371, 3461, 3821, 3911, 4001, 4091, 4271, 4451, 4721, 5081, 5171, 5261, 5351, 5441, 5531, 5711, 5801, 5981, 6521, 6701, 6791, 6971, 7151, 7331, 7691, 8231, 8501

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.

Programs

Magma

[p: p in PrimesUpTo(10000) | p mod 45 eq 41]; // Vincenzo Librandi, Aug 26 2012

Mathematica

Select[Prime[Range[1200]],MemberQ[{41},Mod[#,45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

PARI

is(n)=isprime(n) && n%45==41 \\ Charles R Greathouse IV, Jul 03 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 03 2016