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SUBMIT YOUR IDEANot optimal but gets the job done
There was no strategy here - just brute force - dragging tools on as my mind loaded. 😂
I initially wanted to take the approach where you use the Mersenne Primes to generate perfect numbers (Any Prime of the form (2^k) - 1 where k is prime can be turned into a perfect number by multiplying by 2^(k-1)) but decided against it after realizing that I had no way to verify primes without hardcoding it or adding a sieve.
Fun challenge, almost made me miss my Number Theory class from undergrad...almost.