What Conjecture Is This?

The perfect visual representation of mathematics in its natural habitat! On the right, a tiny book labeled "conjecture" - just a simple, elegant statement that might be true. On the left, the absolute UNIT of a book labeled "attempts to prove the conjecture" - containing thousands of pages of brilliant minds losing sleep, sanity, and printer ink trying to determine if that cute little idea actually holds water.

Some mathematicians have spent their entire careers trying to prove or disprove statements that fit on a sticky note. Looking at you, Fermat's Last Theorem (took 358 years to prove) and the Riemann Hypothesis (still unsolved after 164 years). The mathematical equivalent of using a sledgehammer to crack a nut - if the sledgehammer was made of pure brainpower and existential dread.