An improved algorithm for checking the Collatz conjecture for all n < 2^N

Vigleik Angeltveit

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arXiv · 2602.10466

An improved algorithm for checking the Collatz conjecture for all n < 2^N

Vigleik Angeltveit

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Abstract

We describe a new algorithm for verifying the Collatz conjecture for all n < 2^N for some fixed N. The algorithm takes less than twice as long to verify convergence for all n < 2^{N+1} as it does to verify convergence for all n < 2^N. We also discuss verification of the analogue of the Collatz conjecture for negative numbers.

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BibTeX RIS

Vigleik Angeltveit. 2026-02-11. An improved algorithm for checking the Collatz conjecture for all n < 2^N. https://arxiv.org/abs/2602.10466

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