Representing integers as sums of mixed powers of primes
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917125618139136 |
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| author | Andrade, Geovane Matheus Lemes Godinho, Hemar |
| author_facet | Andrade, Geovane Matheus Lemes Godinho, Hemar |
| contents | We establish two new Waring--Goldbach type representations: every sufficiently large odd integer $n$ can be expressed as
\[ n = p_1^2 + p_2^2 + p_3^3 + p_4^3 + p_5^5 + p_6^6 + p_7^c, \]
where each $p_i$ is prime and $c \in \{6,7\}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05154 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representing integers as sums of mixed powers of primes Andrade, Geovane Matheus Lemes Godinho, Hemar Number Theory We establish two new Waring--Goldbach type representations: every sufficiently large odd integer $n$ can be expressed as \[ n = p_1^2 + p_2^2 + p_3^3 + p_4^3 + p_5^5 + p_6^6 + p_7^c, \] where each $p_i$ is prime and $c \in \{6,7\}$. |
| title | Representing integers as sums of mixed powers of primes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2512.05154 |