Identical Digit Growth in Perfect Numbers
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| Natura: | Recurso digital |
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Zenodo
2025
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| _version_ | 1866901908835270656 |
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| author | Lockington, James |
| author_facet | Lockington, James |
| contents | <p>This paper introduces the <em>Identical Digit Growth Conjecture,</em> a statistical law observed in even perfect numbers.<br>It shows that the longest runs of identical digits grow logarithmically with number size, revealing hidden order within their digits.<br>If confirmed in future discoveries, this pattern could aid large-scale number analysis and deepen understanding of randomness in deterministic systems.<br>The findings may also bridge classical number theory and modern data analysis, suggesting potential applications in compression, randomness testing, and cryptography.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17388762 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Identical Digit Growth in Perfect Numbers Lockington, James <p>This paper introduces the <em>Identical Digit Growth Conjecture,</em> a statistical law observed in even perfect numbers.<br>It shows that the longest runs of identical digits grow logarithmically with number size, revealing hidden order within their digits.<br>If confirmed in future discoveries, this pattern could aid large-scale number analysis and deepen understanding of randomness in deterministic systems.<br>The findings may also bridge classical number theory and modern data analysis, suggesting potential applications in compression, randomness testing, and cryptography.</p> |
| title | Identical Digit Growth in Perfect Numbers |
| url | https://doi.org/10.5281/zenodo.17388762 |