How could I mathematically prove these statements? 1. The sum of the first n positive odd...

How could I mathematically prove these statements?

1. The sum of the first n positive odd numbers is square.

2. Two positive numbers have the same set of common divisors as do the smallest of them and their absolute difference.

3. For every prime p > 3, 12|(p 2 − 1).

Expert Solution

Here we used number theory concept

Colby Messinger answered 2 years ago

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How could I mathematically prove these statements? 1. The sum of the first n positive odd...

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