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Sum of squares of its divisors

Source: Czech-Polish-Slovak Match 2019 P2

July 15, 2019
number theory

Problem Statement

We consider positive integers nn having at least six positive divisors. Let the positive divisors of nn be arranged in a sequence (di)1≤i≤k(d_i)_{1\le i\le k} with 1=d_1nn such that n=d52+d62.n=d_5^2+d_6^2.
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