MathDB

(025) 3

Part of 1982 Tournament Of Towns

Problems(1)

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

Source:

8/18/2019
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 .
number theorydiophantineDiophantine equationfactorial