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Math Puzzle: An integer n is called "farfy" if it is the sum of positive integers whose reciprocals sum to 1. How many non-farfy integers exist?
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An integer n is called "farfy" if it is the sum of positive integers whose reciprocals sum to 1.

For example, 10 and 11 are farfy: 10=2 4 4, 1/2 1/4 1/4 = 1, and 11=2 3 6, 1/2 1/3 1/6=1.

2, 3, and 5 are not farfy.

How many non-farfy integers exist?

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11 years ago