Fermat's Last Theorem
- 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
- 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.