Abstract
The Brocard-Ramanujan problem pertains to the Diophantine equation n!+1=m2. Using the quadratic reciprocity law, we prove the existence of many infinite families of positive integers n such that n!+1 is not a perfect square, and we give several simple criteria for n!+1 to be a non-square.
Original language | English (US) |
---|---|
Pages (from-to) | 155-161 |
Number of pages | 7 |
Journal | Ramanujan Journal |
Volume | 17 |
Issue number | 2 |
DOIs | |
State | Published - Nov 1 2008 |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory