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Putnam 2015 B4

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December 6, 2015
PutnamPutnam 2015algebraSummationgeometric seriesRIP kent

Problem Statement

Let TT be the set of all triples (a,b,c)(a,b,c) of positive integers for which there exist triangles with side lengths a,b,c.a,b,c. Express ∑(a,b,c)∈T2a3b5c\sum_{(a,b,c)\in T}\frac{2^a}{3^b5^c} as a rational number in lowest terms.
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