A045410 Primes congruent to {3, 5} mod 6.

3, 5, 11, 17, 23, 29, 41, 47, 53, 59, 71, 83, 89, 101, 107, 113, 131, 137, 149, 167, 173, 179, 191, 197, 227, 233, 239, 251, 257, 263, 269, 281, 293, 311, 317, 347, 353, 359, 383, 389, 401, 419, 431, 443, 449, 461, 467, 479, 491, 503, 509, 521, 557, 563, 569

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

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

Crossrefs

Essentially the same as A007528.

Cf. A000040.

Programs

Magma

[ p: p in PrimesUpTo(600) | p mod 6 in {3,5} ]; // Vincenzo Librandi, Aug 12 2012

Mathematica

Select[Prime[Range[200]],MemberQ[{3,  5},Mod[#,6]]&] (* Vincenzo Librandi, Aug 12 2012 *)

PARI

is(n)=(n%6==5 && isprime(n)) || n==3 \\ Charles R Greathouse IV, Jul 20 2015

Extensions

Extended by Charles R Greathouse IV, Mar 19 2010