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AT-OEMO-REG 2020 Problem 4

    Find all quadruples (p,q,r,n)(p, q, r, n) of prime numbers p,q,rp, q, r and positive integer numbers nn , such that p2=q2+rnp^2 = q^2 + r^n (Walther Janous)

    Dataset text AI-MO AoPS. Quoted with source.

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