Hitting k primes by dice rolls

Noga Alon, Yaakov Malinovsky, Lucy Martinez +1

Let $S=(d_1,d_2,d_3,\dots )$ be an infinite sequence of rolls of independent fair dice. For an integer $k\ge 1$, let $L_k=L_k(S)$ be the smallest $i$ so that there are $k$ inte…