There are an infinite number of pars of prime numbers
Автор: Petrov P.V.
Журнал: Международный журнал гуманитарных и естественных наук @intjournal
Рубрика: Физико-математические науки
Статья в выпуске: 1-2 (76), 2023 года.
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The article deals with one of the oldest mathematical problems, the existence of pairs of prime numbers of the form , ,, this problem has a long history of finding solutions. One of these results is the result proved by Brun in 1919: "A series of quantities, the inverse of simple twins, breaks off or converge," also such a result is the achievement of Jan Iten, who in 2013 proved that: "that there are infinitely many pairs of consecutive primes with a difference of no more than 70 million." Further, this result was improved in 2014 by Pace Nielsen from Brigham Young University in Utah - 246. My solution is not a continuation of the work of Jan Iten, but is an alternative way to solve this problem. This solution will be described below and implies the solution of this problem in a broader sense, where the problem of simple twins is only a special case, more details about this will be described in another article, and in this one it will be a speech.
Building sequences, symmetric residues, complete combinations of residuals, epicycloids, numbering of combinations
Короткий адрес: https://sciup.org/170197655
IDR: 170197655 | DOI: 10.24412/2500-1000-2023-1-2-182-199