This is pretty unrelated to the topic at hand, but people say that as if its a cop out answer to the conundrum, however i think it would be both the most intersting and most unlikely outcome to the whole p vs np saga. Possibly even more crazy than the answer being uncomputable.

Think about what that would mean. It essentially amounts to a loop nested 1000 times would be enough. 1001 tumes is more than needed, 999 times is enough. Having high transition points like that in math is super rare and interesting. Things are usually either a small number or infinity; almost never a large number. Like i can't think of any non contrived polynomial time problems you would actually want to solve that are worse than n^20, let alone n^100 (excluding cheating by fixing one of the parameters as part of the problem). I don't know what such a result would mean but it would be fascinating.