Yes, that was what I originally was thinking but for larger numbers I didn't
see a way of generating them so I came up with just using the ends
of the numbers because the results of multiplying the pairs have verifiable
correct matching digits.
I was hoping there was a way to get the first five digits correct of the eventual large prime factors. Though in the case of the 576 digit number
having 10 digits of both of the two factors wouldn't solve it but may help
narrow the search space.
Doing more research shows there are many possible pairs, by presenting it
I hoped someone might figure a way to accomplish determining a few digits
with certainty or at least get people thinking about factoring in a different way.
