What is the largest integer \(n\) such that \(n!\) can not be expressed as the sum of \(n\) distinct factors of itself?
Sunday, February 5, 2012
Please email your solutions to email@example.com.
This puzzle is based on:
- Savchev, Svetoslav; Andreescu, Titu. Mathematical Miniatures. Washington, D.C.: Mathematical Association of America, 2003. 53–54. Chapter 15.