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Oh boy what a beautiful regex. I'm sure it does something logical and easy to understand.
(lemmy.world)
^.?$|^(..+?)\1+$
Matches strings of any character repeated a non-prime number of times
By now, I have just one, so thanks for the assist. There's always that one (sometimes puzzling) downvote on anything factual.
The pumping lemma, for anyone unfamiliar. It's a consequence of the fact an FSM is finite, so you can construct a repeatable y just by exhausting the FSM's ability to "remember" how much it's seen.