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Message: <blockquote data-quote="imhotep" data-source="post: 27972761" data-attributes="member: 562115">The notorious Collatz Conjecture. Proposed in the 1930s by Lothar Collatz, this is also referred to as the "3x+1 Conjecture" or the "Syracuse Problem". It's notorious because it has wasted so much valuable time of many mathematicians.About three years ago the quite well known Australian born Terence Tao (Professor of Maths, UCLA) posted a proof showing that — at the very least — the Collatz conjecture is “almost” true for “almost” all numbers. While Tao’s result is not a full proof of the conjecture, it is a major advance on this problem.It's also noteworthy to mention John H Conway, one of the most versatile mathematicians of the past century, who made influential contributions to group theory, analysis, topology, number theory, geometry, algebra and combinatorial game theory.  (He sadly passed away due to Covid in April 2020.)John Conway developed the language FRACTRAN using the Col( ) function. It's "A SIMPLE UNIVERSAL PROGRAMMING LANGUAGE FOR ARITHMETIC" -No complicated programming manual, the entire syntax can be learned in 15 secs, quite complicated functions can be written immediately.FRACTRAN is Turing complete, meaning any computation that can be performed by a computer can also be computed using a FRACTRAN program subject to some limitations. (In the Turing machine itself)PS: Only now, was I able to watch the video. It's a very informative and a complete video. Everything I mentioned above, has been already covered by the presenter including John Conway. <img class="smilie smilie--emoji" loading="lazy" alt="👍" title="Thumbs up    :thumbsup:" src="https://cdn.jsdelivr.net/joypixels/assets/6.6/png/unicode/64/1f44d.png" data-shortname=":thumbsup:" /></blockquote>

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