How many positive integers \(n\) are there such that \(n! + 1\) is composite?
Sunday, March 3, 2013
Please email your solutions to firstname.lastname@example.org.
This puzzle is taken from:
- Hobson, Nick. "Solution to puzzle 137: Factorial plus one equals prime power?" Nick's Mathematical Miscellany. 23 Jan. 2006. 3 Mar. 2013 <http://www.qbyte.org/puzzles/p120s.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>.