Bounded gaps and perfect power gaps in sequences of consecutive primes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911431146864640 |
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| author | Gyarmati, Katalin |
| author_facet | Gyarmati, Katalin |
| contents | We study whether several consecutive prime gaps can all be
relatively large at the same time, or is it possible that all are squares
or perfect powers, or perhaps none of them are squares?
A few related results and problems are also presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07558 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bounded gaps and perfect power gaps in sequences of consecutive primes Gyarmati, Katalin Number Theory We study whether several consecutive prime gaps can all be relatively large at the same time, or is it possible that all are squares or perfect powers, or perhaps none of them are squares? A few related results and problems are also presented. |
| title | Bounded gaps and perfect power gaps in sequences of consecutive primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2602.07558 |