Almost all orbits of the Collatz map attain almost bounded values · HackerPapers discussions

Almost all orbits of the Collatz map attain almost bounded values — mentioned by whoishiding

Fri, 16 Oct 2026 02:51:10 GMT

https://arxiv.org/abs/1909.03562 Almost all orbits of the Collatz map attain almost bounded values Losing sleep over 3x+1? There is help. Call the National Collatz Crisis Hotline. Press 1 to try a different orbit. Press 2 to speak to AI. Press 4 to return to 1. Operators are standing by.

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Almost all orbits of the Collatz map attain almost bounded values — mentioned by tux3

Sun, 23 Nov 2025 12:03:05 GMT

The paper (2019): https://arxiv.org/abs/1909.03562

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Almost all orbits of the Collatz map attain almost bounded values — HN submission

Sat, 08 Nov 2025 22:30:15 GMT

Almost all orbits of the Collatz map attain almost bounded values (2022)

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Almost all orbits of the Collatz map attain almost bounded values — mentioned by spekcular

Wed, 29 Jun 2022 02:21:01 GMT

No, that link will always point to the most recent version. For example, https://arxiv.org/pdf/1909.03562.pdf gives version 5 of https://arxiv.org/abs/1909.03562, as noted in the left margin of the first page.

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Almost all orbits of the Collatz map attain almost bounded values — mentioned by eigenket

Fri, 28 Aug 2020 10:49:46 GMT

Yes, this is quite well known. See (e.g.) the third paragraph on Terrence Tao's blog here https://terrytao.wordpress.com/2011/08/25/the-collatz-conjec... For what its worth Tao is possibly the only person in the world I wouldn't be shocked to hear of making progress on the Collatz conjecture. He actually proved a pretty nice result on it recently https://arxiv.org/abs/1909.03562 but the technology employed doesn't seem strong enough to go beyond "almost all" statements.

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Almost all orbits of the Collatz map attain almost bounded values — mentioned by oefrha

Fri, 13 Dec 2019 09:57:46 GMT

Technical post from Terence Tao: https://terrytao.wordpress.com/2019/09/10/almost-all-collatz... The paper: https://arxiv.org/pdf/1909.03562.pdf

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Almost all orbits of the Collatz map attain almost bounded values — HN submission

Wed, 11 Dec 2019 16:01:56 GMT

Almost all orbits of the Collatz map attain almost bounded values [pdf]

1 point; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Almost all orbits of the Collatz map attain almost bounded values — HN submission

Wed, 11 Sep 2019 07:11:53 GMT

Almost all orbits of the Collatz map attain almost bounded values

2 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Almost all orbits of the Collatz map attain almost bounded values — HN submission

Tue, 10 Sep 2019 19:48:56 GMT

Almost all orbits of the Collatz map attain almost bounded values

3 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.