Erdős problem 291 - part i
Let n≥1 and define Ln to be the least common multiple of {1,…,n} and an by
∑1≤k≤nk1=Lnan.
Is it true that (an,Ln)=1 occurs for infinitely many n?
References
- [ErGr80, p.34] Erdős, P. and Graham, R., Old and new problems and results in combinatorial number theory. Monographies de L'Enseignement Mathematique (1980).
- [Sh16] P. Shiu, The denominators of harmonic numbers. arXiv:1607.02863 (2016).
- [WuYa22] Wu, Bing-Ling and Yan, Xiao-Hui, On the denominators of harmonic numbers. {IV}. C. R. Math. Acad. Sci. Paris (2022), 53--57.