Friday, 16 July 2021

Find the number of ordered pairs (m,n) such that m and n are positive integers in the set {1,2,...,30}and the greatest common divisor of 2m+1 and 2n1 is not 1.

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Define f:RR by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \ 0, ...