I can do further research into the mathematics behind it, if you want. (Number Theory is a pet project of mine.)
I'd be interested in any insights you have. I keep poking at number theory ideas, but I never get anywhere.
-QM
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Quantum Mechanics: The dreams stuff is made of
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Here's the gist - you have a list of @prime_factors. You need to break them apart into two other lists, then multiply the values in each list together to get two numbers. The goal is to get the two numbers closest to one another. Those will be your factors closest to the square root.
However, it's not as easy as it seems. When working with 1000, I tried taking the largest root, then as many of the smallest roots to match it, and so forth ... and it worked. I get 5*5 and 2*2*2*5. But, if you work with 700, you get 7*5 and 2*2*5, which isn't right - you should get 2*2*7 and 5*5.
I think I'm going to leave the problem in your capable hands. You've got a roadmap - have fun! :-)
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