(In reply to
computer solution by Charlie)
It's not surprising that this can be readily solved by computer. The challenge is to explain the result.
I would have guessed that 1/17 of the numbers would work, but 20149/17 ≈ 1185.235
but double this and you get 2370.47
so why do roughly 2/17 of numbers work?
Something interesting is going on.
I don't have time to investigate right now.

Posted by Jer
on 20150812 22:29:12 