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arXiv · 2111.15545

The combinatorial method to compute the sum of the powers of primes

Alexey Orlov
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Abstract

We will generalize the combinatorial algorithms for computing $\pi(x)$ to compute sums ${F(x) = \sum_{p \leq x} p^k}$ for $k \in \mathbb{Z}_{\geq 0}$. The detailed exposition of algorithms is included along with implementation details.

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Alexey Orlov. 2021-11-30. The combinatorial method to compute the sum of the powers of primes. https://arxiv.org/abs/2111.15545

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