##  [Fermat's Last Theorem](/fermats-last-theorem) 

  ##  [Fermat's Last Theorem](https://mathlogic.quantumdictionary.io/fermats-last-theorem-0) 

  

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- Natural & Formal Sciences -

**Mathematics & Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The statement that the Diophantine equation x^n + y^n = z^n has no nonzero integer solutions (x,y,z all nonzero integers) for any integer exponent n greater than 2; equivalently, there are no nontrivial primitive integer solutions for n>2.

 

 

 

 

 





 

 



 ##  [Fermat's Last Theorem](https://puremath.quantumdictionary.io/fermats-last-theorem-1) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The assertion that for any integer exponent n>2 there are no positive integers a,b,c satisfying a^n + b^n = c^n; the unique nontrivial integer solutions occur only for n=1 and n=2.