Explore BrainMass

Explore BrainMass

    Proofs regarding Fermat numbers

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    The Fermat numbers are numbers of the form 2 ^2n + 1 = &#934;n . 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.

    © BrainMass Inc. brainmass.com November 30, 2021, 12:09 am ad1c9bdddf
    https://brainmass.com/math/linear-algebra/proofs-regarding-fermat-numbers-23515

    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.

    $2.49

    ADVERTISEMENT