this is a really endearingly shitty problem i made for my 18th birthday. i used fucked up notation and logic stuff to make it look confusing and purple prose-y LaTeX speak & formatting to seem serious and everybody fell for it

the third line in the problem itself is wrong cause i'm stupid 😭 it's supposed to give you 3 (the set \mathbb P is the primes), because the \nexists is supposed to be an \exists

i'm not gonna tell you the answer, although pretty unfortunately "YOU WISH" actually looks like a valid answer. i promise it's not