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Thread: algebra brain teaser

  1. Oct 29th, 2002, 08:11 PM #1
    bugzpodder
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    algebra brain teaser

    1^3+12^3=9^3+10^3
    9^3+15^3=2^3+16^3
    9^3+34^3=16^3+33^3
    10^3+27^3=19^3+24^3

    here are four given equations where a^3+b^3=c^3+d^3
    where a,b,c,d are positive integers gcd(a,b,c,d) is 1 (greatest common factor)

    find another equation (such that a^3+b^3<640000

    obviously writing a program to do that is disallowed.
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  2. Oct 29th, 2002, 08:49 PM #2
    Kalkewl8ter
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    Stupid CNML question...did you get that one? I kicked myself when I heard about how to do it...
    Merry Math Making!
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  3. Oct 29th, 2002, 08:54 PM #3
    SilverSprite
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    GRRRRRR at that question. Stupid easy solution drives me nuts.
    YL says:"Few are those who see with their own eyes and feel with their own hearts."(Einstein)
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