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erdős #309

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Let $N \geq 1$ . How many integers can be written as the sum of distinct unit fractions with denominators from ${1, \dots, N}$ ? Are there $o (lo g N)$ such integers?

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number theory · solved · 0 attempts

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A217693 — Numbers of distinct integers obtained from summing up subsets of {1, 1/2, 1/3, ..., 1/n}.1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,

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