This function appears in the denominators of terms of the Taylor series and is generalized by the (*) gamma function.
Wilson's theorem states that, for a prime number p, this function of the quantity p plus one is congruent to negative one modulo p, and the Stirling approximation approximates this function for large values. This function appears in the denominators of terms of the Taylor series and is generalized by the (*) gamma function. This function gives the number of ways to arrange n distinct objects. For 10 points, name this function, which for a number n is equal to the product of all of the positive integers less than or equal to n.
Wilson's theorem states that, for a prime number p, this function of the quantity p plus one is congruent to negative one modulo p, and the Stirling approximation approximates this function for large values.
{factorial}