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A 97

Source:

May 25, 2007
Divisibility Theory

Problem Statement

Suppose that nn is a positive integer and let d1<d2<d3<d4d_{1}<d_{2}<d_{3}<d_{4} be the four smallest positive integer divisors of nn. Find all integers nn such that n=d12+d22+d32+d42.n={d_{1}}^{2}+{d_{2}}^{2}+{d_{3}}^{2}+{d_{4}}^{2}.
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