There is a column of numbers: 2,3,6,8,8,4, --- from the third number, each number is a digit of the product of the first two numbers

There is a column of numbers: 2,3,6,8,8,4, --- from the third number, each number is a digit of the product of the first two numbers

You can first write the previous rules: 2,3,6,8,8,4,2,8,6,8,8,4,2,8,6,6,8,8,8,4,2,2,8
It can be seen that there is a cycle of "6,8,8,4,2,8" from the third, so the 2008 is:
2008-2 = 2006 (subtract 2 and 3 of the first two not participating in the cycle)
2006/6=336…… two
So the number 2008 is the second number 8 in the "6,8,8,4,2,8" cycle