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Journal of Mathematical Techniques and Computational Mathematics(JMTCM)

ISSN: 2834-7706 | DOI: 10.33140/JMTCM

Impact Factor: 1.3

Linearity of the Position of Prime Numbers. The Order of Prime and Composite Numbers

Abstract

Marek Berezowski

In this paper it was shown that all prime numbers lie on 96 half-lines. At the same time, it was shown that if a given number does not lie on any of the above half-lines, then it is a composite number. A corresponding linear mathematical relationship was also derived and it was shown that all prime numbers must satisfy it. If a given number does not satisfy the above dependence, then it is a composite number. One linear equation and 8 numbers are enough to carry out all of the above-mentioned analyses. In addition, the astonishing cyclical nature of the occurrence of composite numbers in the set of natural numbers has been demonstrated.

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