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

Fuente: arXiv

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Detalles Bibliográficos
Autor principal:	Angeltveit, Vigleik
Formato:	Preprint
Publicado:	2026
Materias:	Number Theory 11Y16
Acceso en línea:	Acceder al recurso
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_version_	1866912896748879872
author	Angeltveit, Vigleik
author_facet	Angeltveit, Vigleik
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2602_10466
institution	arXiv
publishDate	2026
record_format	arxiv
spellingShingle	An improved algorithm for checking the Collatz conjecture for all n < 2^N Angeltveit, Vigleik Number Theory 11Y16 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.
title	An improved algorithm for checking the Collatz conjecture for all n < 2^N
topic	Number Theory 11Y16
url	https://arxiv.org/abs/2602.10466

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