On integers of the form \(p + 2^{k_1^{r_1}} + \cdots + 2^{k_t^{r_t}}\)

DOI10.1016/j.jnt.2023.10.018OpenAlexW4390414643MaRDI QIDQ6190985

Ji-Zhen Xu, Yong-Gao Chen

Publication date: 8 February 2024

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2023.10.018

zbMATH Keywords

primesasymptotic densityRomanoff-type problems

Mathematics Subject Classification ID

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

Cites Work

• Sums of primes and quadratic linear recurrence sequences
• On the integers of the form \(p+b\)
• A note on Romanov's constant
• On Romanoff's constant
• On Romanov's constant
• On the sum of a prime and of two powers of two
• ON THE SUM OF A PRIME AND A FIBONACCI NUMBER
• The sum of a prime and a Fibonacci number
• On a problem of Romanoff type
• On computing the density of integers of the form $2^n+p$
• On the integers not of the form p+2^a+2^b
• On integers of the form p+2^k
• On the sum of a Fibonacci number and a prime
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