Patterns in Growth and Distribution of Unbounded Prime Number Walks
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909652427472896 |
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| author | Fraile, Alberto Fernández, Daniel Martínez, Roberto Raptis, Theophanes E. |
| author_facet | Fraile, Alberto Fernández, Daniel Martínez, Roberto Raptis, Theophanes E. |
| contents | In our previous work, we defined a prime walk (PW) on a square grid and presented several intriguing numerical results. Here, we demonstrate the main conjecture presented there, namely, that the area covered by the prime walk is unbounded. Taking this fact into account, we examine in further detail the properties of the PW and explore new questions that arise naturally in this analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Patterns in Growth and Distribution of Unbounded Prime Number Walks Fraile, Alberto Fernández, Daniel Martínez, Roberto Raptis, Theophanes E. Number Theory History and Overview In our previous work, we defined a prime walk (PW) on a square grid and presented several intriguing numerical results. Here, we demonstrate the main conjecture presented there, namely, that the area covered by the prime walk is unbounded. Taking this fact into account, we examine in further detail the properties of the PW and explore new questions that arise naturally in this analysis. |
| title | Patterns in Growth and Distribution of Unbounded Prime Number Walks |
| topic | Number Theory History and Overview |
| url | https://arxiv.org/abs/2506.15357 |