On a problem of Romanoff type

2022/01/30 by Ding, Yuchen
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2201.12783

Abstract

Let P and 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^m₁2+2^m₂2,p∈ P,m₁,m₂∈ ℕ. This solves a problem of Chen and Yang in 2014.

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