Fun pattern

Algebra Level 4

\(3^2+4^2 = 5^2\)

\(10^2+11^2+12^2 = 13^2+14^2\)

\(21^2+22^2+23^2+24^2 = 25^2+26^2+27^2\)

\(36^2+37^2+38^2+39^2+40^2 = 41^2+42^2+43^2+44^2 \) \[ \vdots \]

\(n^2+\cdots +6611^2+6612^2 = 6613^2+6615^2+\cdots + m^2 \)

What is the sum of \(m\) and \(n\)?

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