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Collatz conjecture
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==External links== * {{cite web |url=http://www.numbertheory.org/3x+1/ |first=Keith |last=Matthews |title={{nobr|3 {{mvar|x}} + 1}} page}} * An ongoing [[volunteer computing]] [https://collatz-problem.org/ project] {{Webarchive|url=https://web.archive.org/web/20210830110430/https://collatz-problem.org/ |date=2021-08-30 }} by David Bařina verifies Convergence of the Collatz conjecture for large values. (furthest progress so far) * ([[Berkeley Open Infrastructure for Network Computing|BOINC]]) volunteer computing [http://boinc.thesonntags.com/collatz/ project] {{Webarchive|url=https://web.archive.org/web/20171204131813/http://boinc.thesonntags.com/collatz/ |date=2017-12-04 }} that verifies the Collatz conjecture for larger values. * An ongoing volunteer computing [http://www.ericr.nl/wondrous/index.html project] by Eric Roosendaal verifies the Collatz conjecture for larger and larger values. * Another ongoing volunteer computing [http://sweet.ua.pt/tos/3x+1.html project] by Tomás Oliveira e Silva continues to verify the Collatz conjecture (with fewer statistics than Eric Roosendaal's page but with further progress made). * {{MathWorld | urlname=CollatzProblem | title=Collatz Problem}} * {{PlanetMath | urlname=CollatzProblem | title=Collatz Problem}}. * {{cite web |first=Jesse |last=Nochella |title=Collatz Paths |work=[[Wolfram Demonstrations Project]] |url=http://demonstrations.wolfram.com/CollatzPaths/ }} * {{cite AV media |medium=short video |people=[[David Eisenbud|Eisenbud, D.]] |title=Uncrackable? The Collatz conjecture |series=Numberphile |date=8 August 2016 |via=YouTube |url=https://www.youtube.com/watch?v=5mFpVDpKX70 |archive-url=https://ghostarchive.org/varchive/youtube/20211211/5mFpVDpKX70| archive-date=2021-12-11 |url-status=live}}{{cbignore}} * {{cite AV media |people=[[David Eisenbud|Eisenbud, D.]] |title=Uncrackable? Collatz conjecture |medium=extra footage |series=Numberphile |date=August 9, 2016 |via=YouTube |url=https://www.youtube.com/watch?v=O2_h3z1YgEU |archive-url=https://ghostarchive.org/varchive/youtube/20211211/O2_h3z1YgEU| archive-date=2021-12-11 |url-status=live}}{{cbignore}} * {{cite AV media |medium=short video |people=[[Alex Kontorovich]] (featuring) |title=The simplest math problem no one can solve |date=30 July 2021 |series=Veritasium |via=YouTube |url=https://www.youtube.com/watch?v=094y1Z2wpJg}} * [https://www.technologyreview.com/2021/07/02/1027475/computers-ready-solve-this-notorious-math-problem/ Are computers ready to solve this notoriously unwieldy math problem?] [[Category:Conjectures]] [[Category:Arithmetic dynamics]] [[Category:Integer sequences]] [[Category:Unsolved problems in number theory]]
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