<s>[INST] What was the longest-standing incorrect proof of the Four Color Theorem in graph theory? [/INST] While there were some mathmaticians that put forth evidence that the four color theorem was flawed, it was eventually proven correct with computer modeling.</s>\ <s>[INST] I was hoping for a specific proof that was believed to have been correct, but was in fact flawed and incorrect in some way. More specifically, I wanted which such proof was incorrectly believed to have been correct for the longest period of time. [/INST] 