Stage: 4 and 5 Challenge Level: 
Find the smallest integer solution to the following equation:
$$\frac {1}{x^2}+\frac {1}{y^2}=\frac {1}{z^2}$$
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Real numbers. Short problems. Integers. Pythagorean triples. Diophantine equations. Mathematical reasoning & proof. Euclid's algorithm. Modulus arithmetic. Pythagoras' theorem. Dynamical systems.
Published April 1999.
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email: nrich@damtp.cam.ac.uk
