MathDB
A 98

Source:

May 25, 2007
Divisibility Theory

Problem Statement

Let nn be a positive integer with k≥22k\ge22 divisors 1=d1<d2<⋯<dk=n1=d_{1}< d_{2}< \cdots < d_{k}=n, all different. Determine all nn such that d72+d102=(nd22)2.{d_{7}}^{2}+{d_{10}}^{2}= \left( \frac{n}{d_{22}}\right)^{2}.
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