kvale,
I understand the need for caffeine. I plan on cleaning my code up too. Here is a visual representation of my understanding of the Hamming sequence.
2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, ...
3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
5 = 5, 10, 15, 20, 25, 30, ...
H = 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 14, 16, 18, 20, 21, 22, 24, 25, 26
+, 27, 28, 30, ...
Update: This is wrong. I was so focused on lazy evaluation that I misunderstood "how do you generate the series of numbers composed of a given list of prime factors, where each can be used an unlimited number of times?" To me, that meant any positive multiple of any factor was valid.
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