What are...Chaitin’s constants?

Описание: 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...