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Mathematics LibreTexts

3.3 Divisibility rules revisited

  • Page ID
    7628
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    Thinking out Loud

    Can any integer \(n\) be written as a sum of distinct powers of \(2\)?

    Example \(\PageIndex{1}\):

    Express \(2019\) as a sum of distinct powers of \(2\)?

    Note that, \(10 \equiv 1 ( mod 3), 10 \equiv 1 ( mod 9),\) and \(10 \equiv (-1)( mod 11),\).

    Divisible by 3

    The probabilities assigned to events by a distribution function on a sample space are given by.

    Proof

    Add proof here and it will automatically be hidden if you have a "AutoNum" template active on the page.