Fermat’s Last Theorem states that no three positive integers a, b, c can satisfy the equation a^n + b^n = c^n for any integer n greater than 2. It took centuries to prove because it required entirely new mathematical frontiers, like modularity and elliptic curves, which didn’t exist in Fermat’s time.
I say this not just as a researcher, but as a man who spent ten years aligning blocks of type for printing—true alignment, the kind that holds a whole page together, often needs tools you don’t yet have in your drawer. My old proof attempts were like my daughter’s suns drawn in the margins: full of hopeful light, but it took a whole new language to finally print the page.
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