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math.PR2026
When Does the Dice Sum Become Prime?
Christoph Koutschan, Tipaluck Krityakierne, Thotsaporn Aek Thanatipanonda
Given a (possibly infinite) subset of the natural numbers, we ask how many times a fair six-sided die must be rolled until the rolled numbers add up to an element of . Using…
math.PR2026
High-Precision Framework for Expected Hitting Times Analysis in the Dice-Sum Process
Tipaluck Krityakierne, Thotsaporn Aek Thanatipanonda
We study the expected number of rolls required for the cumulative sum of a fair six-sided die to first enter a prescribed target set . A one-variable dyn…