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Math Help - coprime question!

  1. #1
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    coprime question!

    some how using the fact that integers a and b are coprime if, and only if, there exist
    integers m and n such that am + bn = 1 i am trying to find:

    m and n to show that

    (i) 41 and 68 are coprime, (ii) 71 and 118 are coprime.

    i also have to prove:

    3k + 2 and 5k + 3 are coprime for all k\in \mathbb{Z}

    p.s. if anyone knows how you do those symbols for integers, real numbers and rational numbers on latex that would be useful!

    thanks
    Last edited by situation; November 20th 2010 at 10:22 AM. Reason: fixing the latex
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  2. #2
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    [tex] \mathbb{X}[/tex] gives  \mathbb{X}.
    You can replace the X with whatever.
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