Tags
Prizes
More
FAQ
Problem Lists
Definitions
Links
How to help
Go
Go
All
Random Solved
Random Open
OPEN
Is there some function $\omega(r)$ such that $\omega(r)\to \infty$ as $r\to\infty$, such that for all large $n$ there exist $a_1,a_2$ with \[a_1+a_2> n+\omega(r)\log n\] such that $a_1!a_2! \mid n!2^n3^n\cdots p_r^n$?
#401
:
[ErGr80]
number theory
,
factorials
See also
[400]
.
Previous
Next