It struggles a lot trying to show that every number ≥2 has a prime factor. It observes it can do this by finding the smallest factor > 1, and hallucinates a function in the Agda standard library that does just that.
It uses language suggestive of someone who is looking up information, particularly "Yes, here's the relevant part." Although R1 has an internet search tool it is not being used during the chain of thought. The function definitions are just what it imagines might be in the Agda standard library, which are mostly accurate, but not in this case.
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text/gemini
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