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Gringo22
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Edit in new post. Or Bumping with the edited change.
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HallsofIvy said:I have absolutely no idea what this means. I assume that you mean A2+ B2= C2 but I don't know what you mean by a "dynamic vertex" or how anything called a "vertex" or that is "dynamic" could be in an equation.
Do you even know what Fermat's (last) theorem says? It has nothing to do with A2+ B2= C2.
matt grime said:and no one is any the wiser as to what a dynamic vertex is...
Fermat's theorem question, also known as Fermat's Last Theorem, is a mathematical problem proposed by French mathematician Pierre de Fermat in the 17th century. It states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n greater than 2.
Fermat's theorem question is significant because it remained unsolved for over 350 years and was considered one of the most challenging problems in mathematics. Its proof was finally completed in the 1990s by British mathematician Andrew Wiles, using advanced techniques that were not available during Fermat's time.
Fermat's theorem question has many applications in number theory, algebra, and other areas of mathematics. It has also inspired further research and advancements in related fields, such as elliptic curves and modular forms.
Yes, there are several generalizations of Fermat's theorem question, including the generalization to higher dimensions and the generalization to other types of equations, such as elliptic curves.
Yes, Fermat's theorem question can be solved for values of n less than 3. For example, when n=2, the equation becomes the well-known Pythagorean theorem, a² + b² = c², which has infinitely many solutions.