- #1
Ashwin_Kumar
- 35
- 0
Hello, recently i have been dwelling on the topic of brocard's problem(alongside some summation problems). I'm sure most of you are familiar with the problem: if n!+1 is a square number, what values other than 4,5 and 7 can n be? So far i have only extended the problem in an attempt to reduce it to a previously solved one, to no avail. I'm currently
[tex]\frac{\pi\alpha}{\Gamma(1-\alpha)cos(\frac{1}{2}-\alpha)}+1=x^2[/tex]
in which alpha is the number we are trying to find. If anyone knows how to continue from here, please tell me. Thanks.
[tex]\frac{\pi\alpha}{\Gamma(1-\alpha)cos(\frac{1}{2}-\alpha)}+1=x^2[/tex]
in which alpha is the number we are trying to find. If anyone knows how to continue from here, please tell me. Thanks.