WOLFRAM|DEMONSTRATIONS PROJECT

Fermat's Last Theorem and Lattice Points

radius r

2

order n

3

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Fermat's last theorem can be stated in terms of lattice points. Only the four lattice points

(±r,0)

and

(0,±r)

lie on the curve

n

x

+

n

y

=

n

r

for integer radii

r

and integer exponents

n>2

.