One approximation of this function for large n values is named for Stirling, and Euler devised an extension for this function to the complex numbers and negative non-integers called the gamma function.
For a prime number n, evaluating this function at the quantity n minus one will equal -1, modulo n, according to Wilson's theorem. One approximation of this function for large n values is named for Stirling, and Euler devised an extension for this function to the complex numbers and negative non-integers called the gamma function. This function, which appears in the denominator of a Taylor series, is an empty product when evaluated at zero, and is therefore equal to 1 there. For 10 points, name this function, useful in performing permutations and combinations, which for some natural number n is defined as the product of all natural numbers less than or equal to n.
For a prime number n, evaluating this function at the quantity n minus one will equal -1, modulo n, according to Wilson's theorem.
Factorial