Difference between revisions of "Fermat's Last Theorem"

m
Line 1: Line 1:
'''Fermat's Last Theorem''' is a long-unproved [[theorem]] stating that for non-zero [[integers]] <math>\displaystyle a,b,c,n</math> with <math>n \geq 3</math>, there are no solutions to the equation: <math>\displaystyle a^n + b^n = c^n</math>
+
'''Fermat's Last Theorem''' is a long-unproved [[theorem]] stating that for non-zero [[integers]] <math>\displaystyle a,b,c,n</math> with <math>n \geq 3</math>, there are no integer solutions to the equation: <math>\displaystyle a^n + b^n = c^n</math>
  
 
==History==
 
==History==

Revision as of 20:38, 3 May 2007

Fermat's Last Theorem is a long-unproved theorem stating that for non-zero integers $\displaystyle a,b,c,n$ with $n \geq 3$, there are no integer solutions to the equation: $\displaystyle a^n + b^n = c^n$

History

Fermat's last theorem was proposed by Pierre Fermat in the margin of his book Arithmetica. The note in the margin (when translated) read: "It is impossible for a cube to be the sum of two cubes, a fourth power to be the sum of two fourth powers, or in general for any number that is a power greater than the second to be the sum of two like powers. I have discovered a truly marvelous demonstration of this proposition that this margin is too narrow to contain." Despite Fermat's claim that a simple proof existed, the theorem wasn't proven until Andrew Wiles did so in 1993. Interestingly enough, Wiles's proof was much more complicated than anything Fermat could have produced himself.

Books

See Also

Invalid username
Login to AoPS