What are...Chaitin’s constants?

Goal. I would like to tell you a bit about my favorite theorems, ideas or concepts in mathematics and why I like them so much. This time. What are...Chaitin’s constants? Or: Computing a glimpse of randomness Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html The subtitle and thumbnail title is stolen. https://www.emis.de/journals/EM/expma... Chaitin’s constant. https://citeseerx.ist.psu.edu/viewdoc... https://en.wikipedia.org/wiki/Chaitin... https://mathworld.wolfram.com/Chaitin... https://sites.math.washington.edu/~mo... Digits of Chaitin’s constant. https://www.emis.de/journals/EM/expma... https://www.cs.auckland.ac.nz/~cristi... https://oeis.org/A100264 https://math.stackexchange.com/questi... Halting problem. https://en.wikipedia.org/wiki/Halting... https://brilliant.org/wiki/halting-pr... https://www.geeksforgeeks.org/halting... Goldbach conjecture. https://en.wikipedia.org/wiki/Goldbac... https://mathworld.wolfram.com/Goldbac... https://www.britannica.com/science/Go... Background material. https://mathworld.wolfram.com/Univers... https://en.wikipedia.org/wiki/Turing_... https://en.wikipedia.org/wiki/Computa... Mathematica. https://demonstrations.wolfram.com/Tu... https://demonstrations.wolfram.com/Th... https://www.wolfram.com/language/11/n... https://demonstrations.wolfram.com/se... Pictures used. https://www.shantanualshi.com/static/... https://en.wikipedia.org/wiki/Goldbac... https://mathworld.wolfram.com/images/... https://www.lifeiscomputation.com/wp-... https://i.warosu.org/data/sci/img/011... YouTube and co.    • 4.7 Chaitin's Omega Number   https://mindmatters.ai/2021/04/is-cha...