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Math Help - positive integers equation

  1. #1
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    positive integers equation

    Assume a, b and c are positive integers such that c cubed = a squared - b squared, (c^3 = a^2 - b^2). If c is the least odd integer for which this is true, what is the least possible value of b?
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by x-creditman View Post
    Assume a, b and c are positive integers such that c cubed = a squared - b squared, (c^3 = a^2 - b^2). If c is the least odd integer for which this is true, what is the least possible value of b?
    let me guess. 1

    2^3 = 3^2 - 1^2
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