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False Conjecture Is True ne-Way

by Zachary M. Franco (Butler University)

This article originally appeared in:
Mathematics Magazine
February, 2000

Subject classification(s): Number Patterns | Patterns and Sequences | Numbers and Computation
Applicable Course(s): 4.3 Number Theory | 2.7 Finite Math

A plausible (but false) conjecture about the maximal product of equal summands for a given sum is modified and then proven, using basic properties of continued fractions.

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Capsule Course Topic(s):
Number Theory | Partitions
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