Sunday, 10 November 2013

the sum of the ten numbers

Ten positive integers are arranged around a circle. Each number is one more than the
greatest common divisor of its two neighbors.
What is the sum of the ten numbers?

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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, ...