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math.GM: explore 1 source-linked works published from 2026 to 2026, with original documents and citations.
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Sources: arxiv. Collection updated 2026-09-16. Counts describe this index, not the complete source archives.
The Collatz hypothesis is a theorem of the algorithmic theory of natural numbers. We prove the (algorithmic) formula that expresses the halting property of Collatz algorithm. The observation that Collatz's theorem cannot be proved in any elementary number theory completes the main result.