Consider the Diophantine equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]y^3 = x^2 + 2[/tex]

Withoutusing rational elliptic curves and unique factorization in [tex]\mathbb{Z}[\sqrt{-2}][/tex] how many different ways can you show that this equation has only a single solution.

Historical question: Who was the mathematician who created the concept of UFD? I think it was Leopold Kroneckor, am I correct?

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# Fermat's equation.

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