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Diophantine equation is an equation together with the restriction that the only solutions of the equation of interest are those belonging to a specified set, often the set of integers or the set of rational numbers. Fermat's last theorem has its origins in the mathematics of ancient Greece; two thousand years ago Pierre de Fermat constructed the problem in the form I described above. One great mathematician after another had been humbled by Fermat's legacy and for three hundred years no body had been able to solve it; I only had the potential to try two of them, where n=2 and 4, which I would discuss later in my project...
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