Alright anons, I'm gonna swing for the fences like Babe Ruth.
(1,c)
(1,RSAc)
{e,n,d,x,1,RSAc}
solve for d and e.
n= (a+b)/2-d
x= d-a = d-1 = RSAx for 1,c
RSAt= (x+2)/2 for even, (x+1)/2 for odd.
Here's our starting position for any RSAc.
Now, use (n-1)*a to find the transform for the (e,1) position.
Then find the prime solution by finding the equivalent t value in (e,1).
I know it's a big swing, just looking for that home run. Thoughts?