A166104 Natural numbers whose prime factors are all congruent to 3 or 5 mod 6 (i.e., are in the sequence A045410).

1, 3, 5, 9, 11, 15, 17, 23, 25, 27, 29, 33, 41, 45, 47, 51, 53, 55, 59, 69, 71, 75, 81, 83, 85, 87, 89, 99, 101, 107, 113, 115, 121, 123, 125, 131, 135, 137, 141, 145, 149, 153, 159, 165, 167, 173, 177, 179, 187, 191, 197, 205, 207, 213, 225, 227, 233, 235, 239

Offset

1,2

Comments

1 is included, as it has no prime factors at all, thus no prime factors outside of A045410.

Links

A. Karttunen, Table of n, a(n) for n = 1..1001

Prog

(MIT Scheme with macro MATCHING-POS by AK:)
(define A166104 (MATCHING-POS 1 1 (lambda (n) (for-all? (factor n) (lambda (p) (or (= 1 p) (= 3 p) (= 5 (modulo p 6))))))))

Crossrefs

See the conjecture at A166103. Cf. A045410.

Sequence in context: A249426 A040976 A268174 * A164121 A333171 A078651

Adjacent sequences: A166101 A166102 A166103 * A166105 A166106 A166107

Keyword

nonn

Author

Antti Karttunen, Oct 13 2009

Status

approved