On Solutions of n!+1 = x^2

There are only three known solutions (in positive integers) of
the equation n! + 1 = m^2, namely

                        25  =  4! + 1  =  5^2

                       121  =  5! + 1  =  11^2

                      5041  =  7! + 1  =  71^2

Are there any others?  The latest result I've seen is a paper by 
Berend and Osgood in J Num Thry (1992, vol 42), which gives a 
proof that for any polynomial P of degree > 1 the set of positive 
integers n for which P(x)=n! has an integer solution x is of zero 
density.  However, the paper states that it is NOT known if the 
particular equation x^2 - 1 = n! has only finitely many solutions.  
Does anyone know of any further results?