(In reply to computer solution
Your solutions fit the statement in the puzzle.
(There was no specific question posed by me, regretfully).
My intention was to spot out of all possible couples (why, hayden) the maximum why, which is 947. a single solution.
By the same token 127(not requested) is the smallest possible why.
Both values are on your list.
Since I cannot edit a post after it is published I will address the issue in the "official solution".
I admit failing to express my question clearly.
However, on the positive note - no harm was done - you would need to write the same program, ... same runtime, same output.