What are the possible positive integer values of \(n\) such that \((n - 1)! + 1\) is a power of \(n\)?
Sunday, July 22, 2012
Please email your solutions to firstname.lastname@example.org.
This puzzle is based on:
- Hobson, Nick. "Solution to puzzle 137: Factorial plus one equals prime power?" Nick's Mathematical Miscellany. 26 Apr. 2006. 8 July 2012 <http://www.qbyte.org/puzzles/p137s.html>.
The following is a list of resources on related topics:
- Caldwell, Chris K. "A proof of Wilson's Theorem." The Prime Pages. University of Tennessee at Martin. 5 Aug. 2012 <http://primes.utm.edu/notes/proofs/Wilsons.html>.