Difference between revisions of "2012 USAMO Problems/Problem 4"

(See also)
Line 6: Line 6:
==See also==
==See also==
*[[USAMO Problems and Solutions]]
{{USAMO newbox|year=2012|num-b=3|num-a=5}}
{{USAMO newbox|year=2012|num-b=3|num-a=5}}

Revision as of 18:00, 25 April 2012


Find all functions $f : \mathbb{Z}^+ \to \mathbb{Z}^+$ (where $\mathbb{Z}^+$ is the set of positive integers) such that $f(n!) = f(n)!$ for all positive integers $n$ and such that $m - n$ divides $f(m) - f(n)$ for all distinct positive integers $m$, $n$.


See also

2012 USAMO (ProblemsResources)
Preceded by
Problem 3
Followed by
Problem 5
1 2 3 4 5 6
All USAMO Problems and Solutions
Invalid username
Login to AoPS