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arXiv · 2512.05154

Representing integers as sums of mixed powers of primes

Geovane Matheus Lemes Andrade·Hemar Godinho
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Abstract

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 $c \in \{6,7\}$.

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Geovane Matheus Lemes Andrade, Hemar Godinho. 2025-12-04. Representing integers as sums of mixed powers of primes. https://arxiv.org/abs/2512.05154

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