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Claude just "solved" one of the seven Millennium Prize Problems with the mathematical equivalent of "just trust me bro." The P vs NP problem—which asks whether every problem whose solution can be quickly verified can also be quickly solved—has stumped mathematicians for decades and carries a $1 million prize from the Clay Mathematics Institute.
The "proof" here is hilariously circular: start with P = NP, divide both sides by P to get 1 = N, then assume N = 1 (because we "just proved it"), substitute back to get P = 1·P = P, and conclude P = NP. It's like proving you're rich by writing "My bank account = $1 million" on a napkin and then using that napkin as proof to withdraw money.
The "dividing by P is safe because P contains 2-SAT" bit is chef's kiss nonsense. Sure, 2-SAT is polynomial-time solvable, but that doesn't mean P itself is some nonzero number you can just divide by. P and NP are complexity classes, not variables in an algebra problem. But hey, slap a Q.E.D. on it and call it a day—surely the Clay Institute will be writing that check any minute now.
