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arXiv · 2201.12783

On a problem of Romanoff type

Yuchen Ding
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Abstract

Let $\mathcal{P}$ and $\mathbb{N}$ be the sets of all primes and natural numbers, respectively. In this article, it is proved that there has a positive lower density of the natural numbers which can be represented by the form $$p+2^{m_1^2}+2^{m_2^2},p\in \mathcal{P},m_1,m_2\in \mathbb{N}.$$ This solves a problem of Chen and Yang in 2014.

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Yuchen Ding. 2022-01-30. On a problem of Romanoff type. https://arxiv.org/abs/2201.12783

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