Question 11
Show that there are no 2-tuples $(x, y)$ of positive integers satisfying the equation
$$
(x+1)(x+2)\cdots(x+2014) = (y+1)(y+2)\cdots(y+4028).
$$
$$
(x+1)(x+2)\cdots(x+2014) = (y+1)(y+2)\cdots(y+4028).
$$
MathNet 2014 Question 11
Math Olympiad Vault · MathNet 2014