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divisors of n - pigfly #2

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December 27, 2004
modular arithmeticnumber theory unsolvednumber theoryIMO Shortlist

Problem Statement

Let 1=d1<d2<....<dk=n1=d_1<d_2<....<d_k=n be all different divisors of positive integer n written in ascending order. Determine all n such that: d62+d72−1=nd_6^{2} +d_7^{2} - 1=n
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