THE PROOF OF ANDREW BEAL’S HYPOTHESIS BY DIVISION METHOD
Keywords:difference of squares, common divisor, factorization, even numbers, odd numbers, Pythagorean triples, divisibility
The aim of the work is to prove the "Beal’s hypothesis" and "Fermat's great theorem" as a special case of the hypothesis, as well as to solve related problems, including the" Voluntary computing" project, launched in 2014. The methods used in the article, are the ability to show the basic equation in the form of an equivalent equation that allows you to represent the value of the expression by the difference of the squares of two odd numbers and use the features of its factorization. As a result, the "Beal’s hypothesis" and "Fermat's great theorem" are fully proved using elementary methods.
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Гусев В. А., Мордкович А. Г. Математика: Справочные материалы. М.: Просвещение, 1990. Стр. 89.
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