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By trade Fermat was a lawyer, and he pursued [[mathematics]] purely as a hobby.  In that sense he is considered the greatest amateur [[mathematician]] ever.
 
By trade Fermat was a lawyer, and he pursued [[mathematics]] purely as a hobby.  In that sense he is considered the greatest amateur [[mathematician]] ever.
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Fermat's most famous equation is [[Fermat's Last Theorem]], which was not proven until mathematician Andrew Wiles relied on the controversial [[Axiom of Choice]] and [[hyperbolic geometry]] to publish an abstract proof, in conjuction with others, in 1995.  
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Fermat's most famous equation is [[Fermat's Last Theorem]], which was not proven until mathematician Andrew Wiles relied on the controversial [[Axiom of Choice]] and [[hyperbolic geometry]] to publish an abstract proof, in conjunction with others, in 1995.  
    
A Fermat number is a positive integer of the form
 
A Fermat number is a positive integer of the form
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