On the integers of the form \(p+b\)

DOI10.11650/tjm.18.2014.3155zbMath1357.11099OpenAlexW2014921703MaRDI QIDQ514783

Yong-Gao Chen, Quan-Hui Yang

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3155

zbMATH Keywords

Polignac conjectureprime setRomanoff theorem

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Additive bases, including sumsets (11B13) Primes (11A41)

Related Items (4)

On a problem of Romanoff type ⋮ Extending an Erdős result on a Romanov type problem ⋮ Some Applications of the Maynard–Tao Theorem ⋮ On integers of the form \(p + 2^{k_1^{r_1}} + \cdots + 2^{k_t^{r_t}}\)

Cites Work

• Romanoff theorem in a sparse set
• Integers not of the form c(2^a+2^b)+p^α
• Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$
• Fermat numbers and integers of the form a^k+a^l+p^α
• Not Every Number is the Sum or Difference of Two Prime Powers
• Five consecutive positive odd numbers, none of which can be expressed as a sum of two prime powers
• A NOTE ON INTEGERS OF THE FORM 2ⁿ+cp
• On integers not of the form ±𝑝^{𝑎}±𝑞^{𝑏}
• A REMARK ON PRIMALITY TESTING AND DECIMAL EXPANSIONS
• On the integers not of the form p+2^a+2^b

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