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Abstract
The Fermat Last Theorem is a great example of how an unsolved problem can stimulate the development of an entire research area. Started by Pierre de Fermat around 1630 in the margin of a copy of Diophantus's Arithmetica, the nowadays theorem asserts that the equation\[x^n + y^n = z^n \]has no integers solutions with $xyz \neq 0$ for $n>2$. After 358 years, Fermat's last theorem is proved …