  Alon and Malinovsky recently proved that it takes on average $2.42849\ldots$
rolls of fair six-sided dice until the first time the total sum of all rolls
arrives at a prime. Naturally, one may extend the scenario to dice with a
different number of faces. In this paper, we prove that the expected stopping
round in the game of Alon and Malinovsky is approximately $\log M$ when the
number $M$ of die faces is sufficiently large.
