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

1,1

Comments

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

Links

Charles R Greathouse IV, Table of n, a(n) for n = 1..3744

Eric Weisstein's World of Mathematics, Carmichael Number

Example

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; ...

Crossrefs

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

Sequence in context: A029500 A243770 A298701 * A356074 A351051 A154497

Adjacent sequences: A216908 A216909 A216910 * A216912 A216913 A216914

Keyword

nonn

Author

Marius Coman, Sep 20 2012

Extensions

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

Status

approved