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states that the only solutions to the equation A^x + B^y = C^z, when A, B and C are positive integers, and x, y and z are positive integers greater than two, are those in which A, B and C have a common factor.

difficulty advanced
Guest Nov 27, 2014

Best Answer 

 #1
avatar+676 
+13

Ahh.. I believe you are refering to the 'Beal's Conjecture'

Well... To my knowledge... No-one has solved it completely... If that is the case. i don't think you will find it here.

Obviously this is related to Fermat's Last Theorem, which was proved true by Andrew Wiles in 1994,  A wide array of sophisticated mathematical techniques could be used in the attempt to prove the conjecture true.

Though, I can say, the Beal Conjecture is correct,X  Y Z
prime factor, meeting all the conditions presented.

I did a little bit of reseach into a thesis on the Beal's Conjecture and Fermat's Last Theorem and I found a relatively interesting answer. I'll put it on here.

 

XYZ
A  
   
   
TakahiroMaeda  Nov 29, 2014
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2+0 Answers

 #1
avatar+676 
+13
Best Answer

Ahh.. I believe you are refering to the 'Beal's Conjecture'

Well... To my knowledge... No-one has solved it completely... If that is the case. i don't think you will find it here.

Obviously this is related to Fermat's Last Theorem, which was proved true by Andrew Wiles in 1994,  A wide array of sophisticated mathematical techniques could be used in the attempt to prove the conjecture true.

Though, I can say, the Beal Conjecture is correct,X  Y Z
prime factor, meeting all the conditions presented.

I did a little bit of reseach into a thesis on the Beal's Conjecture and Fermat's Last Theorem and I found a relatively interesting answer. I'll put it on here.

 

XYZ
A  
   
   
TakahiroMaeda  Nov 29, 2014
 #2
avatar+92221 
+5

I believe you are correct Takahiro,

 

http://en.wikipedia.org/wiki/Beal%27s_conjecture

Melody  Nov 29, 2014

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