Suppose that you roll a fair die with n faces, starting at 0, and keep addin\ g up the outcomes, until you reach an integer that has property, "isprime" approximating it with the assumtion that you do it up to, 100, times , here are the averages from n=2 to n=N If the fair die has, 2, faces , then the estimated expected duration is, 1.500000000 If the fair die has, 3, faces , then the estimated expected duration is, 1.544351141 If the fair die has, 4, faces , then the estimated expected duration is, 2.043595187 If the fair die has, 5, faces , then the estimated expected duration is, 1.929375346 If the fair die has, 6, faces , then the estimated expected duration is, 2.428497913 If the fair die has, 7, faces , then the estimated expected duration is, 2.136485647 If the fair die has, 8, faces , then the estimated expected duration is, 2.568470347 If the fair die has, 9, faces , then the estimated expected duration is, 2.728801367 If the fair die has, 10, faces , then the estimated expected duration is, 2.971357555 If the fair die has, 11, faces , then the estimated expected duration is, 2.782372230 If the fair die has, 12, faces , then the estimated expected duration is, 3.081421871 If the fair die has, 13, faces , then the estimated expected duration is, 2.887203289 If the fair die has, 14, faces , then the estimated expected duration is, 3.133255542 If the fair die has, 15, faces , then the estimated expected duration is, 3.236593606 ------------------------ This ends this paper that took, 146.712, seconds to prepare