A142068 Primes congruent to 32 mod 33.

131, 197, 263, 461, 593, 659, 857, 1187, 1319, 1451, 1583, 1847, 1913, 1979, 2111, 2243, 2309, 2441, 2837, 2903, 2969, 3167, 3299, 3761, 4091, 4157, 4289, 4421, 4751, 4817, 5081, 5147, 5279, 5477, 5741, 5807, 5939, 6203, 6269, 6599, 6863, 7127, 7193, 7457

Offset: 1

Author

N. J. A. Sloane, Jul 11 2008

Keywords

• nonn
• easy

Comments

Primes congruent to 65 mod 66. - Chai Wah Wu, Apr 29 2025

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A000040, A142067.

Programs

Magma

[p: p in PrimesUpTo(8000) | p mod 33 eq 32 ]; // Vincenzo Librandi, Aug 18 2012

Mathematica

Select[Range[32, 20000, 33], PrimeQ] (* Vladimir Joseph Stephan Orlovsky, Jun 24 2011 *)
Select[Prime[Range[3000]],MemberQ[{32},Mod[#,33]]&] (* Vincenzo Librandi, Aug 18 2012 *)

PARI

is(n)=isprime(n) && n%33==32 \\ Charles R Greathouse IV, Jul 02 2016

Formula

a(n) ~ 20n log n. - Charles R Greathouse IV, Jul 02 2016