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Millennium problem
After the solution of the Last Fermat's problem by Andrew Wiles (1994), an interest began to develop in generalizations of this problem and in attempts to find approaches to new solutions. In our 54th problem in Number theory we have already formulated some problems. Here we formulate two "Millennium Problems" to further find and promote new mathematical methods. With the number of prime factors not exceeding two, and their powers are more than two, according to our hypothesis, the sum of two powerads cannot be a powerad. In our opinion, the most interesting is the algebra of polynomials with many unknowns and objects that generalize the concepts of complex numbers, vectors, quaternions, powerads. The powerads we have introduced form a ring with the multiplication operation, but they do not form rings with the addition operation. Similar objects and events can occur in nature with an "explosive" nature of events. Of course, the new methods will find application not only in number theory but also in other branches of mathematics, especially in modeling.
Свидетельство о публикации №221072901052