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PreprintCC BY 4.0arXiv

The exceptional set of a prime and a square

Abstract

Let X denote the number of positive integers which are a prime plus a square. We prove that E(X)=O(X4/5).

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BibTeX
@misc{zhao2026exceptional,
  title = {{The exceptional set of a prime and a square}},
  author = {Genheng Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2609.24051},
  eprint = {2609.24051},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.24051},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The exceptional set of a prime and a square
AU  - Genheng Zhao
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.24051
UR  - https://arxiv.org/abs/2609.24051
AB  - Let X denote the number of positive integers which are a prime plus a square. We prove that E(X)=O(X^4/5).
ER  -