A Geometric View of the Sieve of Eratosthenes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2011
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| _version_ | 1866914376444805120 |
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| author | Iosif, Alexandru |
| author_facet | Iosif, Alexandru |
| contents | We study the geometry of the Sieve of Eratosthenes. We introduce some concepts as Focals and Extremes. We find a symmetry in the distribution of the Focals (all the information about the primes is contained into a small set of numbers). We find that there is a geometric order in the Sieve and we give a formula for the greatest remainder that returns the same quotient. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1112_5796 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | A Geometric View of the Sieve of Eratosthenes Iosif, Alexandru General Mathematics We study the geometry of the Sieve of Eratosthenes. We introduce some concepts as Focals and Extremes. We find a symmetry in the distribution of the Focals (all the information about the primes is contained into a small set of numbers). We find that there is a geometric order in the Sieve and we give a formula for the greatest remainder that returns the same quotient. |
| title | A Geometric View of the Sieve of Eratosthenes |
| topic | General Mathematics |
| url | https://arxiv.org/abs/1112.5796 |