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Math Help - Pair

  1. #1
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    Pair

    Hi,

    p is a positive prime number. How to show that there isn't any pair(a;b) from \mathbb{N}^2* such as a^2=pb^2
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by bhitroofen01 View Post
    Hi,

    p is a positive prime number. How to show that there isn't any pair(a;b) from \mathbb{N}^2* such as a^2=pb^2
    Hint: Express  a and  b as a product of prime numbers and look at the exponent's parity.
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