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Math Help - Styles of Proof Trick Question

  1. #1
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    Styles of Proof Trick Question

    Please help:

    Give an example of a predicate P(n) about positive intergers N, such that P(n) is true for every positive interger from 1 to one billion, but which is never-the-less not true for all positive intergers.

    (Hint: there is a really simple choice possible for the predicate P(n).)
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  2. #2
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    Quote Originally Posted by kturf View Post
    Please help:

    Give an example of a predicate P(n) about positive intergers N, such that P(n) is true for every positive interger from 1 to one billion, but which is never-the-less not true for all positive intergers.

    (Hint: there is a really simple choice possible for the predicate P(n).)
    The the statement be

    The number is less than or equal to 1,000,000,000
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