Answers are grounded in this paper and cite their sources.
This work demonstrates that prime numbers appear in the interval of almost all n, indicating a refined approach through new arithmetic insights.
By combining the sieve machinery used in the author's previous paper on this topic and some new arithmetic information in Harman's monograph, the author proves that the interval [n-n1/22+ε, n] contains prime numbers for almost all n, improving the previous exponent 1/21.5 by the author. The use of the variable role-reversal plays a crucial role in the proof.
No takes yet. Share an insight, caveat, or question.
Runbo Li (2025) studied this question.
Synapse has enriched 8 closely related papers on similar clinical questions. Consider them for comparative context: