Primes Distribution Linearity. Composite Numbers Cyclicity. Chaoticity of Primes. Twin Primes Occurrence
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866912065387495424 |
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| author | Berezowski, Marek |
| author_facet | Berezowski, Marek |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_14139 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Primes Distribution Linearity. Composite Numbers Cyclicity. Chaoticity of Primes. Twin Primes Occurrence Berezowski, Marek General Mathematics 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. |
| title | Primes Distribution Linearity. Composite Numbers Cyclicity. Chaoticity of Primes. Twin Primes Occurrence |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2304.14139 |