A074720 Least k such that floor(3^n/2^k) is prime.

2, 1, 4, 5, 6, 1, 11, 6, 7, 4, 5, 1, 9, 6, 8, 21, 8, 4, 25, 12, 20, 13, 30, 17, 6, 13, 10, 13, 19, 5, 12, 34, 33, 37, 16, 39, 35, 13, 38, 30, 28, 20, 53, 16, 60, 24, 40, 43, 34, 19, 23, 32, 63, 59, 19, 22, 27, 56, 86, 14, 29, 5, 53, 13, 15, 63, 19, 7, 88, 1, 87, 46, 22, 51, 25, 30