Abstract
One charming aspect of mathematics lies in the truism that the solution to a problem usually poses other equally intriguing problems, an example of which was carefully developed by Truman Botts in this journal for October and November 1965. Another serendipitous dividend in our discipline is the satisfaction derived from relating seemingly disjoint topics. The burden of this note is to observe the relationship existing between perfect numbers—that is, integers which are the sum of their proper divisors—and the problem taken from Volume II of the Hungarian Problem Book (this problem is to find three different positive integers such that the sum of their reciprocals is an integer).
Published Version
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