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A comment on Just How Smart are You, ChatGPT? I quiz ChatGPT about math. Parent comment
It says that having infinitely many composite numbers must mean infinitely many factors, and thus infinitely many primes.
But we can construct infinite sets of numbers from finite prime factors easily. [2] and the powers of 2.
Which might be a good starting point to teach someone Euclid's proof that there are infinite primes, but ChatGPT didn't get all the way there.
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It says that having infinitely many composite numbers must mean infinitely many factors, and thus infinitely many primes.
But we can construct infinite sets of numbers from finite prime factors easily. [2] and the powers of 2.
Which might be a good starting point to teach someone Euclid's proof that there are infinite primes, but ChatGPT didn't get all the way there.