Elementary Summation

Algebra Level 3

If 132+1+142+2+152+3+.........................=mn\frac{1}{3^{2}+1}+\frac{1}{4^{2}+2}+\frac{1}{5^{2}+3}+.........................=\frac{m}{n}

where mm and nn are co- prime positive integers Find the value of m+nm+n

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