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Chisinau MO p120 1976 VIII product of \sqrt[m]{m}-\sqrt[k]{k}

Source:

March 16, 2021
algebraProductradical

Problem Statement

Find the product of all numbers of the form mm−kk\sqrt[m]{m}-\sqrt[k]{k} , m,km ,k are natural numbers satisfying the inequalities 1≤k<m≤n1 \le k < m \le n, where n>3n> 3.
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