Question: Write the following statements using appropriate mathematical notation (quantifiers please!) and then either prove or disprove them: 1. For every natural number n, if (2^n)

Write the following statements using appropriate mathematical notation (quantifiers please!) and then either prove or disprove them:

1. For every natural number n, if (2^n) - 1 is prime then n is prime

2. There are two distinct irrational numbers x and y such that x*y is rational.

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