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 ComputationApplicable Course(s):
4.3 Number Theory | 2.7 Finite MathA 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