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A166104
Natural numbers whose prime factors are all congruent to 3 or 5 mod 6 (i.e., are in the sequence A045410).
3
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
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
KEYWORD
nonn
AUTHOR
Antti Karttunen, Oct 13 2009
STATUS
approved