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IMO 1984 - Shortlisted Problems Question 3

IMO Shortlist · IMO 1984 - Shortlisted Problems

Question 3

(USS 3) Find all positive integers $n$ such that
$$n=d_6^2+d_7^2-1,$$
where $1=d_1\lt d_2\lt \cdots\lt d_k=n$ are all positive divisors of the number $n$.