MathDB
Arithmetic Series Practice

Source:

February 19, 2006
geometry3D geometry

Problem Statement

If a<b<c<d<ea<b<c<d<e are consecutive positive integers such that b+c+db+c+d is a perfect square and a+b+c+d+ea+b+c+d+e is a perfect cube, what is the smallest possible value of cc?
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