OPEN
This is open, and cannot be resolved with a finite computation.
Describe (by statistical means) the arithmetic structure of the orders of subgroups of $S_n$.
This is given in
[Va99] as a problem of Erdős and Turán. I have reproduced the problem verbatim; I am not entirely sure what it is asking for.
View the LaTeX source
External data from
the database - you can help update this
Formalised statement?
No (
Create a formalisation here)
The original source is ambiguous as to what the problem is - please add a comment if you have an opinion.
When referring to this problem, please use the original sources of Erdős. If you wish to acknowledge this website, the recommended citation format is:
T. F. Bloom, Erdős Problem #1163, https://www.erdosproblems.com/1163, accessed 2026-03-01