Diophantine Equation y cubed equals x squared plus 2/Historical Note
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Historical Note on Diophantine Equation $y^3 = x^2 + 2$
The Diophantine equation $y^3 = x^2 + 2$ was proved to have only the solution $x = 5, y = 3$ by Pierre de Fermat by use of the Method of Infinite Descent.
He submitted it, without proof, along with a number of others, to Pierre de Carcavi in a letter dated $14$ August $1659$.
Sources
- 1937: Eric Temple Bell: Men of Mathematics ... (previous) ... (next): Chapter $\text{IV}$: The Prince of Amateurs