MathDB
ASU 437 All Soviet Union MO 1986 sum of all 1/mn not an integer

Source:

August 7, 2019
number theoryIntegerreciprocalSum

Problem Statement

Prove that the sum of all numbers representable as 1mn\frac{1}{mn}, where m,nm,n -- natural numbers, 1≤m<n≤19861 \le m < n \le1986, is not an integer.
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