Number Theory

    

Goldbach's Conjecture and the Double Density of Occupation by the Union of the Series of Multiples of Primes

Authors: Pal Doroszlai, Horacio Keller

The union of arithmetic progressions of primes reflected over a point at any distance from the origin, results the double density of occupation of integer positions by the series of multiples of primes. It is shown, that the number of free positions left by the double density of occupation has a lower limit function. These free positions represent equidistant primes satisfying Goldbach's conjecture. Herewith may be proved as well, that at any distance from the origin, within the section equal to the square root of the distance, there is a prime. Therefore the series of primes represent a continuum and may be integrated. Further it may be proved, that the number of any two primes, with a given even number as difference between them, is unlimited. Thus, the number of twin primes is unlimited as well.

Comments: 12 Pages.

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[v1] 2021-10-27 05:28:45

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