# Proofs regarding Fermat numbers

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The Fermat numbers are numbers of the form 2 ^2n + 1 = Φn . Prove that if n < m , then Φn │ϕ m - 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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##### Solution Summary

This solution is comprised of a detailed explanation for solving the problems on Fermat numbers.

It contains step-by-step explanation for proving statement that if n < m , then Φn │Φm - 2,

where Φn is the Fermat numbers such that Φn = 2 ^2n + 1.

It contains step-by-step explanation for proving statement that if n < m , then (Phi)n │(Phi)m - 2,

where (Phi)n is the Fermat numbers such that (Phi)n = 2 ^2n + 1.

Solution contains detailed step-by-step explanation.

###### Education

- BSc, Manipur University
- MSc, Kanpur University

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