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n = a^2 + b^2 + c^2 + d^2 - Puerto Rico TST 2023.1.4

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March 23, 2024
number theory

Problem Statement

Find all positive integers nn such that: n=a2+b2+c2+d2,n = a^2 + b^2 + c^2 + d^2, where a<b<c<da < b < c < d are the smallest divisors of nn.
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