A216911 Numbers that are a prime factor of a Carmichael number divisible by 3, listed in the order in which they appear in the prime factorizations of such Carmichael numbers.

3, 11, 17, 5, 47, 89, 101, 197, 29, 263, 521, 1559, 173, 3011, 71, 641, 1277, 53, 317, 4583, 617, 4019, 401, 3041, 41, 479, 3347, 131, 10427, 4643, 1301, 419, 6689, 5531, 281, 55217, 251, 2417, 4001, 491, 1601, 3137, 449, 3617, 107, 2969, 4211, 6737, 1061

Offset: 1

Author

Marius Coman, Sep 20 2012

Keywords

• nonn

Comments

Every term, other than a(1)=3, is a prime of the form 6*k - 1.

Examples

			The first few Carmichael numbers that are divisible by 3 (A258801), their prime factorizations, and the terms of this sequence are as follows:
.
  m | A258801(m) & prime factorization | prime factors not appearing earlier
  --+----------------------------------+----------------------------------------
  1 |        561 = 3 * 11 *  17        | a(1)  =    3,  a(2)  = 11,   a(3) = 17;
  2 |      62745 = 3 *  5 *  47 *   89 | a(4)  =    5,  a(5)  = 47,   a(6) = 89;
  3 |     656601 = 3 * 11 * 101 *  197 | a(7)  =  101,  a(8)  = 197; ...
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..3744
• Eric Weisstein's World of Mathematics, Carmichael Number

Crossrefs

Cf. A002997 (Carmichael numbers), A258801 (Carmichael numbers divisible by 3).

Extensions

a(26), a(34), a(43) corrected by Charles R Greathouse IV, Sep 20 2012