Yong-Gao Chen

activity

20052025

most citedOn a problem of Nathanson

15 citations · 60 across the 23 of their papers we have counts for

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23 papers · 1 filter

math.NT2025

The number of primes not in a numerical semigroup

Yong-Gao Chen, Hui Zhu

For two coprime positive integers $a$ and $b$ ,let $π^{*} (a, b)$ be the number of primes that cannot be represented as $a u + b v$ , where $u$ and $v$ are nonnegative integers. It is clea…

math.NT2025

On the sum of a prime and two Fibonacci numbers

Ji-Zhen Xu, Yong-Gao Chen

Let ${f_{n}}$ be the Fibonacci sequence. For any positive integer $n$ , let $r (n)$ be the number of solutions of $n = p + f_{k_{1}^{2}} + f_{k_{2}^{2}}$ , where $p$ is a prime and $k_1, k_2…

math.NT2025

Primes of the form $a x + b y$

Yong-Gao Chen, Hui Zhu

For two coprime positive integers $a, b$ , let $T (a, b) = {a x + b y : x, y \in Z_{\geq 0}}$ and let $s (a, b) = ab - a - b$ . It is well known that all integers which are greater than $s…

math.NT2023

A conjecture of Erdős on $p + 2^{k}$

Yong-Gao Chen

Let $U$ be the set of positive odd integers that cannot be represented as the sum of a prime and a power of two. In this paper, we prove that $U$ is not a union…

math.NT2022

Quantitative results of the Romanov type representation functions

Yong-Gao Chen, Yuchen Ding

For $α > 0$ , let $A = {a_{1} < a_{2} < a_{3} < \dots}$ and $L = {ℓ_{1}, ℓ_{2}, ℓ_{3}, \dots} (not necessarily different)$ be two sequences of positive…

math.NT2022★ 1 cited

A conjecture of Sárközy on quadratic residues, II

Yong-Gao Chen, Ping Xi

Denote by $R_{p}$ the set of all quadratic residues in $F_{p}$ for each prime $p$ . A conjecture of A. Sárközy asserts, for all sufficiently large $p$ , that no subset…

The number of primes not in a numerical semigroup

On the sum of a prime and two Fibonacci numbers

Primes of the form ax+by

A conjecture of Erdős on p+2k

Quantitative results of the Romanov type representation functions

A conjecture of Sárközy on quadratic residues, II

Primes of the form $a x + b y$

A conjecture of Erdős on $p + 2^{k}$