Until we don't have the capability to count in a sequence, we will have to estimate some parts randomly and complete the remaining parts by counting them in the sequence. Besides this, we do not have any other alternative method available.

Therefore, I am dividing Puzzle 66 into two parts and as we know it will start with 2 or 3, I have assumed it will start with 3. Then, I am incrementing the 1 in the 8 hex ("30000000") up to ("3fffffff"). In this process, I am comparing the address of Puzzle 66 with the addresses obtained from incrementing the 8 hex. If the 8 or more character of Puzzle 66's address match with the address obtained from incrementing the 8 hex, I took that 8 hex as first part of 17 hex of P66 and counting the remaining 9 hex using VanBitCracken. This process gave me approximately 427 ranges, and it took me about 70 seconds to complete one range. Thus, it took me about 8 hours to complete 427 ranges. I believe that using some logical approach for counting, instead of generating completely random hex, may lead to a solution. I am aware that this is also a random method, but with a little logic. I know there is unequivocally no shortcut to solve this puzzle. However, unless I have the capacity to count in a sequence, I will have to resort to some shortcut method.