@article{32dbebf9dcd2485d8b853d97039983eb,
title = "Hitting a Prime in 2.43 Dice Rolls (On Average)",
abstract = "What is the number of rolls of fair six-sided dice until the first time the total sum of all rolls is a prime? We compute the expectation and the variance of this random variable up to an additive error of less than (Formula presented.). This is a solution to a puzzle suggested by DasGupta in the Bulletin of the Institute of Mathematical Statistics, where the published solution is incomplete. The proof is simple, combining a basic dynamic programming algorithm with a quick Matlab computation and basic facts about the distribution of primes.",
keywords = "Dynamic-programming, Prime number theorem, Stopping time",
author = "Noga Alon and Yaakov Malinovsky",
note = "Publisher Copyright: {\textcopyright} 2023 American Statistical Association.",
year = "2023",
doi = "10.1080/00031305.2023.2179664",
language = "אנגלית",
volume = "77",
pages = "301--303",
journal = "American Statistician",
issn = "0003-1305",
publisher = "Taylor and Francis Ltd.",
number = "3",
}