Runbo Li | International Curriculum Center, The High School Affiliated to Renmin University of China

About Me

I’m a high school student at International Curriculum Center of The High School Affiliated to Renmin University of China.

Education

High School
International Curriculum Center, The High School Affiliated to Renmin University of China
2023-Present

Publications

Papers by Runbo Li

32. Primes in almost all short intervals III. Preprint. Download
31. Sums of two squares of primes in short intervals. Preprint. Download. Cambridge Open Engage
30. Bombieri–Vinogradov Theorem in shorter intervals. Preprint. Download. Preprints
29. Primes in almost all short intervals II. Preprint. Download. Cambridge Open Engage
28. On Chen's theorem, Goldbach's conjecture and almost prime twins III. Preprint. Download. Cambridge Open Engage
27. An average Brun–Titchmarsh theorem and shifted primes with a large prime factor. Preprint. Download. arXiv
26. On the weighted AM-GM inequality and refined inequalities between arithmetic functions. Preprint. Download. Preprints
25. On the exceptional set in the $abc$ conjecture. Preprint. Download. arXiv
24. On the largest prime factor of integers in short intervals II. Preprint. Download. Cambridge Open Engage
23. On Chen's theorem, Goldbach's conjecture and almost prime twins II. Mathematical Reports, to appear. Download. arXiv
22. On the largest prime factor of quadratic polynomials. Preprint. Download. arXiv
21. A remark on the distribution of $\sqrt{p}$ modulo one involving primes of special type II. European Journal of Mathematics, 11:85, 2025. Download. Link to the publisher. arXiv
20. Largest square divisors of shifted primes. Preprint. Download. arXiv
19. On the generalized Dirichlet divisor problem. Preprint. Download. Preprints
18. On almost primes in Piatetski–Shapiro sequences. Preprint. Download. arXiv
17. Primes in arithmetic progressions to smooth moduli: A minorant version. Preprint. Download. arXiv
16. On prime-producing sieves and distribution of $\alpha p - \beta$ mod $1$. Preprint. Download. arXiv
15. A note on variants of Buchstab's identity. Preprint. Download. arXiv
14. The number of primes in short intervals and numerical calculations for Harman's sieve. Preprint. Download. arXiv
13. On the Piatetski–Shapiro Prime Number Theorem II. Preprint. Download. Preprints
12. On the Piatetski–Shapiro Prime Number Theorem. Preprint. Download. Preprints
11. On the largest prime factor of integers in short intervals. Preprint. Download. Preprints
10. Primes in almost all short intervals. Preprint. Download. arXiv
9. On the primitive divisors of quadratic polynomials. Preprint. Download. arXiv
8. On Chen's theorem, Goldbach's conjecture and almost prime twins. Preprint. Download. arXiv
7. On a conjecture involving twin practical numbers. Preprint. Download. Preprints
6. A remark on large even integers of the form $p + P_3$. Preprint. Download. arXiv
5. Hybrid estimation of single exponential sums, exceptional characters and primes in short intervals. Preprint. Download. arXiv
4. Remarks on additive representations of natural numbers. Preprint. Download. arXiv
3. A remark on the distribution of $\sqrt{p}$ modulo one involving primes of special type. Hiroshima Mathematical Journal, to appear. Download. arXiv
2. On the upper and lower bound orders of almost prime triples. Preprint. Download. arXiv
1. On some problems of primes with the floor function. Preprint. Download. arXiv

Talks

5. Primes in short intervals. Nankai University Additive Number Theory Seminar. Online. 4 December 2025. Download
4. On Bertrand's Postulate (in Chinese). Tianjin Nankai High School: Student Research Experience Sharing and Shiing-Shen Chern Class Research Group Launch Meeting. Online. 21 November 2025. Download
3. Primes in short intervals. Online Meeting Invited Speaker. 21 July 2025. Download
2. On the Goldbach's conjecture (in Chinese). 2025 'Haidian $\pi$ Mathematics Festival' Closing Ceremony Research Presentation. The High School Affiliated to Beijing Institute of Technology. 4 July 2025. Download
1. On Chen's theorem, Goldbach's conjecture and applications of sieve methods. S.-T. Yau High School Science Award (Mathematics) Global Final Research Report. Tsinghua University. 7 December 2024. Download