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d_1^2+d_2^2+d_3^2+d_4^2 = n

Source: Switzerland - Swiss TST 2002 p3

February 18, 2020
Divisorsnumber theorySum

Problem Statement

Let d1,d2,d3,d4d_1,d_2,d_3,d_4 be the four smallest divisors of a positive integer nn (having at least four divisors). Find all nn such that d12+d22+d32+d42=nd_1^2+d_2^2+d_3^2+d_4^2 = n.
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