

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.


1



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
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OFFSET

1,1


COMMENTS

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


LINKS



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).


KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



