Published July 30, 2022
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Geometric approach to the proof of Fermat's last theorem
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A geometric approach to the proof of Fermat's last theorem is proposed. Instead of integers a, b, c, Fermat's last theorem considers a triangle with side lengths a, b, c. It is proved that in the case of right-angled and obtuse-angled triangles Fermat's equation has no solutions. When considering the case when a, b, c are sides of an acute triangle, it is proved that Fermat's equation has no entire solutions for p>2. The numbers a=k, b=k+m, c=k+n, where k, m, n are natural numbers satisfying the inequalities n>m, n
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References
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