## 20S. Sequences of Consecutive Integers

June 16, 2009 by danielkohen

**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.

Here is the official solution file: PEN A9 A37 O51

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