\(1^2 + 2^2\) is not divisible by \(1+2.\)

\(2^2 + 3^2\) is not divisible by \(2+3.\)

\(3^2 +4^2\) is not divisible by \(3+4.\)

\(4^2 + 5^2\) is not divisible by \(4+5.\)

\(5^2 + 6^2\) is not divisible by \(5+6.\)

**True or False?**

If \(m\) and \(n\) are consecutive positive integers, then \(m^2 + n^2\) is

neverdivisible by \(m+n\).

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