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Hacker NewsA Proof of the Collatz Conjecture<a href="https://arxiv.org/abs/2502.20642" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://arxiv.org/abs/2502.20642</a><a href="https://mastodon.social/tags/HackerNews" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#HackerNews</a> <a href="https://mastodon.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> <a href="https://mastodon.social/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Mathematics</a> <a href="https://mastodon.social/tags/Proof" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Proof</a> <a href="https://mastodon.social/tags/NumberTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#NumberTheory</a> <a href="https://mastodon.social/tags/Research" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Research</a>

Pete BleackleyThere's a type of <a href="https://wandering.shop/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> problems thatt can be described as "deceptively simple". They sound straightforward when described, but solving them is another matter. <a href="https://wandering.shop/tags/FermatsLastTheorem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#FermatsLastTheorem</a> is one, the <a href="https://wandering.shop/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> is another.I'm sure that the proof of the latter must have something to do with how the operation 3n+1 affects the binary representation of the number, but I'm not sure where to go next.

ƧƿѦςɛ♏ѦਹѤʞ<a href="https://pnw.zone/@KO6YQ" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@KO6YQ</a> This would appear to imply a common origin of both the <a href="https://mastodon.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> and <a href="https://mastodon.social/tags/TheTrolleyProblem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#TheTrolleyProblem</a> . Someone should apply for a research grant to look into it. <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mastodon.social/tags/logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#logic</a> <a href="https://mastodon.social/tags/silliness" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#silliness</a> <a href="https://mastodon.social/tags/XKCD" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#XKCD</a>

Rupert Reynolds<a href="https://hachyderm.io/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://hachyderm.io/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> <a href="https://hachyderm.io/tags/scripting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#scripting</a> I wanted to test my arithmetic routines, so I did some tests with big logs, and square roots, then I decided grandly to extend work on the Collatz conjecture :-)wikidmedia says it's been checked to 2.95 x 10^20.I can now announce (fanfare)... 2.950000000001 x 10^20 ;-)___p.s. (secretly, I'm just pleased it didn't fall through its execution stack like a stone through a wet paper bag)

lordmattPlaying with CollatzPreviously, I had exhaustively proven that an exception to the Collatz Conjecture would have at least seven steps. I have expanded my exhaustive proof to show that an exception would have to have eight steps.It’s not especially exciting but <a href="https://matrixdreams.com/collatz-conjecture-potf/if-collatz-is-false/" rel="nofollow noopener noreferrer" target="_blank">here are the tables of formulas and their solutions</a> showing no loops under eight steps (by working out all possible patterns for up to seven steps).<a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://node.lordmatt.co.uk/tag/collatz-conjecture/" target="_blank">#CollatzConjecture</a> <a rel="nofollow noopener noreferrer" class="hashtag u-tag u-category" href="https://node.lordmatt.co.uk/tag/maths/" target="_blank">#maths</a>

Weird History Facts3x+1 and Other RamblingsThe notion of 3x+1 has many names, such as Collatz conjecture among others I never cared to learn. <a href="https://mastodon.social/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://mastodon.social/tags/collatzconjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#collatzconjecture</a><a href="https://weird-history-facts.com/3x1-and-other-ramblings/" rel="nofollow noopener noreferrer" translate="no" target="_blank">https://weird-history-facts.com/3x1-and-other-ramblings/</a>

benniCan someone come and rescue me, please?<a href="https://social.tchncs.de/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://social.tchncs.de/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a>

ƧƿѦςɛ♏ѦਹѤʞIt's Three N Plus One as We Know It <a href="https://mastodon.social/tags/PuzzleASong" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#PuzzleASong</a> <a href="https://mastodon.social/tags/HashTagGames" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#HashTagGames</a> <a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> <a href="https://mastodon.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a>

Jote 🏳️‍🌈 :verified_gay:My poor <a href="https://social.plux.wtf/tags/cpu" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#cpu</a>. I've spent the <a href="https://social.plux.wtf/tags/morning" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#morning</a> on <a href="https://social.plux.wtf/tags/coding" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#coding</a> and <a href="https://social.plux.wtf/tags/implementing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#implementing</a> a <a href="https://social.plux.wtf/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a> problem that tries to find <a href="https://social.plux.wtf/tags/candidates" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#candidates</a> that break <a href="https://social.plux.wtf/tags/collatzconjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#collatzconjecture</a> ... If you are thinking about this problem, go and touch grass and do something way more <a href="https://social.plux.wtf/tags/productive" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#productive</a> with your time.<a href="https://social.plux.wtf/tags/mathproblem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathproblem</a> <a href="https://social.plux.wtf/tags/stupidmathproblem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#stupidmathproblem</a> <a href="https://social.plux.wtf/tags/why" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#why</a>

James Y🎃ungIt's been _0_ days since I was nerdsniped by the <a href="https://mefi.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> . :collatz_conjecture:

James Y🎃ung<a href="https://botsin.space/@lobsters" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@lobsters</a> hey <a href="https://mastodon.social/@joshmillard" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@joshmillard</a> , got some <a href="https://mefi.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> info for you :collatz_conjecture:

Bornach[Matt Parker] on the completion of The Great Collatz Collab in which hundreds of schools picked 3 digit numbers to test the Collatz Conjecture, which were then collated into a single large map <a href="https://youtu.be/lnpFqdQJAFA" rel="nofollow noopener noreferrer" target="_blank">https://youtu.be/lnpFqdQJAFA</a>The project resources including downloadable map: <a href="https://think-maths.co.uk/collatz-collab" rel="nofollow noopener noreferrer" target="_blank">https://think-maths.co.uk/collatz-collab</a><a href="https://masto.ai/tags/youtube" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#youtube</a> <a href="https://masto.ai/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#CollatzConjecture</a> <a href="https://masto.ai/tags/Collatz" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#Collatz</a> <a href="https://masto.ai/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#maths</a> <a href="https://masto.ai/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathematics</a> <a href="https://masto.ai/tags/STEM" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#STEM</a> <a href="https://masto.ai/tags/mathstodon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mathstodon</a> <a href="https://masto.ai/tags/mastomaths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#mastomaths</a> <a href="https://masto.ai/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#math</a>

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