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Prove that all positive integers are interesting?

We define an interesting number to be a number that has at least one interesting property.

Prove that all natural numbers are interesting.

4 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    Let 'n' be the first positive integer that isnt interesting.

    n is the first positiive integer that isnt interesting

    Isnt that interesting?

    ∴ There is no first positive integer that isnt interesting.

  • Anonymous
    1 decade ago

    Assume the numbers 1-9 are all interesting. The number 10 would be "not interesting". The fact that it's the first "non-interesting" number is pretty interesting.

    Using this logic, any first non-interesting number would be "interesting".

  • bacco
    Lv 4
    5 years ago

    You proved that there is not any greatest integer. You assumed the existence of the biggest integer and built a form greater advantageous than it.subsequently u proved there is not any greatest integer.for the reason that a greatest integer would not exist we can not tutor that a million is the biggest integer.

  • Joe L
    Lv 5
    1 decade ago

    Each positive integer can be decomposed into only one set of primes.

    This is true no matter how large the integer is.

    It is the fundamental theorem of arithmetic

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