PreprintCC BY 4.0arXiv
The exceptional set of Goldbach numbers within the set of squares
Abstract
We prove that the set of numbers of type n = 2m2 below X which cannot be written as a sum of two primes has cardinality at most X19/24 + o(1).
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BibTeX
@misc{perelli2026exceptional,
title = {{The exceptional set of Goldbach numbers within the set of squares}},
author = {A. Perelli and J. Pintz},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29470},
eprint = {2610.29470},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29470},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The exceptional set of Goldbach numbers within the set of squares
AU - A. Perelli
AU - J. Pintz
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29470
UR - https://arxiv.org/abs/2610.29470
AB - We prove that the set of numbers of type n = 2m^2 below X which cannot be written as a sum of two primes has cardinality at most X^19/24 + o(1).
ER -