**A37** If is a natural number, prove that the number

is not a perfect square.

**A9** Prove that among any ten consecutive positive integers at least one is relatively prime to the product of the others.

**O51** Prove the among consecutive integers it is always possible to find one which is relatively prime to all the rest.

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on May 21, 2009 at 9:42 pm |MarinkinaДа,aleks,побороть лень, действительно иногда очень сложно..

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