So far, this sounds like par for the Star Trek course…it’s perfectly believable that Picard does math for fun, a character moment no less nerdy than Tilly blurting out, “That’s the power of math, people!” decades later on Discovery. However, the big problem with Picard’s assertion that the theorem hasn’t been solved in 800 years is that Andrew Wiles successfully provided a proof back in 1995.
The franchise couldn’t ignore how a sole math genius proved the writers wrong, so Picard’s statement about Fermat’s Last Theorem was later retconned in DS9.
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