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#collatzconjecture

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Hacker News<p>A Proof of the Collatz Conjecture</p><p><a href="https://arxiv.org/abs/2502.20642" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="">arxiv.org/abs/2502.20642</span><span class="invisible"></span></a></p><p><a href="https://mastodon.social/tags/HackerNews" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HackerNews</span></a> <a href="https://mastodon.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a> <a href="https://mastodon.social/tags/Mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Mathematics</span></a> <a href="https://mastodon.social/tags/Proof" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Proof</span></a> <a href="https://mastodon.social/tags/NumberTheory" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>NumberTheory</span></a> <a href="https://mastodon.social/tags/Research" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Research</span></a></p>
Pete Bleackley<p>There's a type of <a href="https://wandering.shop/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></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">#<span>FermatsLastTheorem</span></a> is one, the <a href="https://wandering.shop/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a> is another.</p><p>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.</p>
ƧƿѦςɛ♏ѦਹѤʞ<p><span class="h-card" translate="no"><a href="https://pnw.zone/@KO6YQ" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>KO6YQ</span></a></span> <br>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">#<span>CollatzConjecture</span></a> and <a href="https://mastodon.social/tags/TheTrolleyProblem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>TheTrolleyProblem</span></a> . Someone should apply for a research grant to look into it.<br><a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></a> <a href="https://mastodon.social/tags/logic" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>logic</span></a> <a href="https://mastodon.social/tags/silliness" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>silliness</span></a> <a href="https://mastodon.social/tags/XKCD" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>XKCD</span></a></p>
Rupert Reynolds<p><a href="https://hachyderm.io/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://hachyderm.io/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a> <a href="https://hachyderm.io/tags/scripting" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>scripting</span></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 :-)</p><p>wikidmedia says it's been checked to 2.95 x 10^20.</p><p>I can now announce (fanfare)...<br>2.950000000001 x 10^20 ;-)</p><p>___</p><p>p.s. (secretly, I'm just pleased it didn't fall through its execution stack like a stone through a wet paper bag)</p>
lordmatt<p><strong>Playing with Collatz</strong></p><p>Previously, 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.</p><p>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).</p><p><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></p>
Weird History Facts<p>3x+1 and Other&nbsp;Ramblings</p><p>The 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">#<span>mathematics</span></a> <a href="https://mastodon.social/tags/collatzconjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>collatzconjecture</span></a></p><p><a href="https://weird-history-facts.com/3x1-and-other-ramblings/" rel="nofollow noopener noreferrer" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">weird-history-facts.com/3x1-an</span><span class="invisible">d-other-ramblings/</span></a></p>
benni<p>Can someone come and rescue me, please?</p><p><a href="https://social.tchncs.de/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <a href="https://social.tchncs.de/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a></p>
ƧƿѦςɛ♏ѦਹѤʞ<p>It's Three N Plus One as We Know It<br><a href="https://mastodon.social/tags/PuzzleASong" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>PuzzleASong</span></a><br><a href="https://mastodon.social/tags/HashTagGames" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>HashTagGames</span></a> <br><a href="https://mastodon.social/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></a> <a href="https://mastodon.social/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> <br><a href="https://mastodon.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a></p>
Jote 🏳️‍🌈 :verified_gay:<p>My poor <a href="https://social.plux.wtf/tags/cpu" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>cpu</span></a>. <br>I've spent the <a href="https://social.plux.wtf/tags/morning" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>morning</span></a> on <a href="https://social.plux.wtf/tags/coding" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>coding</span></a> and <a href="https://social.plux.wtf/tags/implementing" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>implementing</span></a> a <a href="https://social.plux.wtf/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a> problem that tries to find <a href="https://social.plux.wtf/tags/candidates" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>candidates</span></a> that break <a href="https://social.plux.wtf/tags/collatzconjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>collatzconjecture</span></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">#<span>productive</span></a> with your time.</p><p><a href="https://social.plux.wtf/tags/mathproblem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathproblem</span></a> <a href="https://social.plux.wtf/tags/stupidmathproblem" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>stupidmathproblem</span></a> <a href="https://social.plux.wtf/tags/why" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>why</span></a></p>
James Y🎃ung<p>It'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">#<span>CollatzConjecture</span></a> . :collatz_conjecture:</p>
James Y🎃ung<p><span class="h-card"><a href="https://botsin.space/@lobsters" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>lobsters</span></a></span> hey <span class="h-card"><a href="https://mastodon.social/@joshmillard" class="u-url mention" rel="nofollow noopener noreferrer" target="_blank">@<span>joshmillard</span></a></span> , got some <a href="https://mefi.social/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a> info for you :collatz_conjecture:</p>
Bornach<p>[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<br><a href="https://youtu.be/lnpFqdQJAFA" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="">youtu.be/lnpFqdQJAFA</span><span class="invisible"></span></a></p><p>The project resources including downloadable map:<br><a href="https://think-maths.co.uk/collatz-collab" rel="nofollow noopener noreferrer" target="_blank"><span class="invisible">https://</span><span class="ellipsis">think-maths.co.uk/collatz-coll</span><span class="invisible">ab</span></a></p><p><a href="https://masto.ai/tags/youtube" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>youtube</span></a> <a href="https://masto.ai/tags/CollatzConjecture" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>CollatzConjecture</span></a> <a href="https://masto.ai/tags/Collatz" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>Collatz</span></a> <a href="https://masto.ai/tags/maths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>maths</span></a> <a href="https://masto.ai/tags/mathematics" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathematics</span></a> <a href="https://masto.ai/tags/STEM" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>STEM</span></a> <a href="https://masto.ai/tags/mathstodon" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mathstodon</span></a> <a href="https://masto.ai/tags/mastomaths" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>mastomaths</span></a> <a href="https://masto.ai/tags/math" class="mention hashtag" rel="nofollow noopener noreferrer" target="_blank">#<span>math</span></a></p>