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MathNet 2003 — Part 01 Question 89

Math Olympiad Vault · MathNet 2003 — Part 01

Question 89

Prove that there are no positive integers $m$ and $n$ such that
$$
m(m+1)(m+2)(m+3)=n(n+1)^2(n+2)^3(n+3)^4
$$