Proofs regarding fermat numbers


Questions:

Proofs regarding Fermat numbers

1. The Fermat numbers are numbers of the form 2 ^2n + 1 = Φn . Prove that if n < m , then Φn ¦? m - 2.

2. The Fermat numbers are numbers of the form 2 ^2n + 1 = (Phi)n . Prove that if n < m , then (Phi)n ¦(Phi)m - 2.

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Algebra: Proofs regarding fermat numbers
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