Almost all primes are not needed in Ternary Goldbach
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916392910979072 |
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| author | Basak, Debmalya Bhat, Raghavendra N. Dong, Anji Zaharescu, Alexandru |
| author_facet | Basak, Debmalya Bhat, Raghavendra N. Dong, Anji Zaharescu, Alexandru |
| contents | The ternary Goldbach conjecture states that every odd number $m \geqslant 7$ can be written as the sum of three primes. We construct a set of primes $\mathbb{P}$ defined by an expanding system of admissible congruences such that almost all primes are not in $\mathbb{P}$ and still, the ternary Goldbach conjecture holds true with primes restricted to $\mathbb{P}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Almost all primes are not needed in Ternary Goldbach Basak, Debmalya Bhat, Raghavendra N. Dong, Anji Zaharescu, Alexandru Number Theory The ternary Goldbach conjecture states that every odd number $m \geqslant 7$ can be written as the sum of three primes. We construct a set of primes $\mathbb{P}$ defined by an expanding system of admissible congruences such that almost all primes are not in $\mathbb{P}$ and still, the ternary Goldbach conjecture holds true with primes restricted to $\mathbb{P}$. |
| title | Almost all primes are not needed in Ternary Goldbach |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.08968 |