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Beal Fermat and Pythagora's Triplets
Proof that Beal And Fermat Triplets Cannot Exist1
Consider Beal's proposed equality
whichwhen r,s are integers are impossible triplet integers z,x,y when m,a,b>2. Accordingly, since 22/a is an irrational number for all a>2, Beal and Fermat triplets do not exist. However, when m=a=b=2, Pythagora's Theorem admits triplets z,x,y integers.
Copyright © 2008 James Constant
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