Try investigating the path to the solution for every every multiple of 5. If b is odd, then the solution in (e,1) is two cells above the (e,1) for the starting cell (setting n=1 and generating a cell.)
Particularly for multiples of 5, you can deduce that b is odd because it ends in the digit 5.
Example:
145 = {1:61:12:11:1:145}—(1, 61, 6)
(1, 1, 6) = {1:1:72:11:61:85}
(1, 1, 4) = {1:1:32:7:25:41}
7 = x for 5*29
(1, 5, 4) = {1:5:12:7:5:29}
Example 2:
95 = {14:39:9:8:1:95}—(14, 39, 5)
(14, 1, 5) = {14:1:47:8:39:57}
(14, 1, 3) = {14:1:19:4:15:25}
4 = x for 5*19
(14, 3, 3) = {14:3:9:4:5:19}
I don't know how many cells above the (e,1) solution is for even b, for multiples of 5. Maybe you can tell me. Have to work.