Folkman's theorem and the primes
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916023230267392 |
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| author | Fernández-Bretón, David J. |
| author_facet | Fernández-Bretón, David J. |
| contents | We provide two new proofs of the infinitude of prime numbers, using the additive Ramsey-theoretic result known as Folkman's theorem (alternatively, one can think of these proofs as using Hindman's theorem). This adds to the existing literature deriving the infinitude of primes from Ramsey-type theorems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_12025 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Folkman's theorem and the primes Fernández-Bretón, David J. Number Theory Combinatorics Primary 11A41, 05D10, Secondary 11B75 We provide two new proofs of the infinitude of prime numbers, using the additive Ramsey-theoretic result known as Folkman's theorem (alternatively, one can think of these proofs as using Hindman's theorem). This adds to the existing literature deriving the infinitude of primes from Ramsey-type theorems. |
| title | Folkman's theorem and the primes |
| topic | Number Theory Combinatorics Primary 11A41, 05D10, Secondary 11B75 |
| url | https://arxiv.org/abs/2509.12025 |