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The first real hard one. I was overthinking it, and unfortunately had to get help from the solutions thread for part two.
I originally was trying to store just the individual prime factors of the number, thinking that'd keep the number from exploding. Additionally, I could immediately take the square operation
old * old
and not do anything.Only problem is: that means I have to solve what the prime factors are for really large numbers, which itself is really hard! So it didn't help as much as I planned.