William Fidler
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Mersenne Numbers, Strings, the Rule of 6, and the Method of Fractions (eBook, PDF)

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Academic Paper from the year 2023 in the subject Mathematics - Analysis, grade: 2.00, , language: English, abstract: The work developed here brings a significant measure of order to the search for prime numbers. It is shown conclusively that no Mersenne number can have an integer square root, this being, until now, one of the unsolved problems in Number theory. It is shown that there are a new set of numbers given by F = (M + 2)/3 where M is a Mersenne number. it is found that when M is prime then F is prime. however, it is also found that prime numbers may be generated when M is composite and...

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