The conversation between human and AI assistant.
Is n! ever a perfect square?
That's really interesting. Are there any other factorial-related problems or theorems that I can learn about?
Yes, there are many! There's Stirling's Formula, which approximates the value of n! for large values of n, and there's also the Gamma Function, which is a generalization of the factorial to complex numbers. Additionally, there are many combinatorial problems that involve factorials, such as counting arrangements and combinations of items.