Existence of a classical (non-computer-assisted) proof of the Four Color Theorem
Construct a purely classical, human-checkable proof of the Four Color Theorem that does not rely on computer assistance.
References
However, to this day there is still no classical mathematical human-made proof of the Four Color Theorem.
                — Computer-assisted graph theory: a survey
                
                (2508.20825 - Jooken, 28 Aug 2025) in Section 1 (Introduction), discussion of the Four Color Theorem