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TOT 025 1982 Autumn J3 diophantine m!n! = k! , infinite solutions

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August 18, 2019
number theorydiophantineDiophantine equationfactorial

Problem Statement

Prove that the equation m!n!=k!m!n! = k! has infinitely many solutions in which m,nm, n and kk are natural numbers greater than unity .
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