A142317 Primes congruent to 11 mod 45.

11, 101, 191, 281, 461, 641, 821, 911, 1091, 1181, 1361, 1451, 1721, 1811, 1901, 2081, 2351, 2441, 2531, 2621, 2711, 2801, 3251, 3701, 3881, 4241, 4421, 4691, 4871, 5051, 5231, 5501, 5591, 5861, 6131, 6221, 6311, 6491, 6581, 6761, 7121, 7211, 7481, 7841

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 11]; // Vincenzo Librandi, Aug 26 2012

Mathematica

Select[Range[11, 30000, 90], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jul 14 2011 *)
Select[Prime[Range[3000]],MemberQ[{1},Mod[#,45]]&] (* Vincenzo Librandi, Aug 26 2012 *)

PARI

is(n)=isprime(n) && n%45==11 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 24n log n. - Charles R Greathouse IV, Jul 02 2016