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PreprintarXiv licencearXiv

$6$ powers of $2$ in the Linnik--Goldbach problem

  • Huixi Li
  • Zhixin Liu
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Abstract

Linnik's approximation to Goldbach's conjecture concerns the representation of sufficiently large even integers as the sum of two primes and a bounded number of powers of two. We prove that $6$ powers of $2$ suffice unconditionally and that $5$ suffice under the GRH, improving previous works.

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Cite

BibTeXRIS
BibTeX
@misc{li2026powers,
  title = {{$6$ powers of $2$ in the Linnik--Goldbach problem}},
  author = {Huixi Li and Zhixin Liu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15784},
  eprint = {2610.15784},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15784},
}
RIS
TY  - UNPB
TI  - $6$ powers of $2$ in the Linnik--Goldbach problem
AU  - Huixi Li
AU  - Zhixin Liu
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15784
UR  - https://arxiv.org/abs/2610.15784
AB  - Linnik's approximation to Goldbach's conjecture concerns the representation of sufficiently large even integers as the sum of two primes and a bounded number of powers of two. We prove that $6$ powers of $2$ suffice unconditionally and that $5$ suffice under the GRH, improving previous works.
ER  -