Finding random numbers repeating is a simple brute force problem. It is cool, but slightly boring.
Related to this, what I cannot wrap my head across, is the Infinite monkey theorem. Is it not possible that we keep expanding the numbers and never reach a complex enough set of values?
It does represent something 'interesting' that is easy to observe and wonder about, and for the non-math person it leads to slightly better understanding of 'normal' numbers, of the difference in representation ( these answers are base specific), and a very small amount of simple computer science.
The notion of world record is of course tongue in cheek. No one really needs to know these numbers, nor will they rememeber them! But at least there is an entry in OEIS!
Hypothetically that could be found in pi, right? Of course, it ended up being spread widely enough that they gave up on trying to police it. But maybe there are some other not-allowed numbers that could be distributed as a position in pi? I’m not sure what the point would be, mostly just to make a point I guess.
"to be or not to be" may be more likely for a monkey on a keyboard to generate than a random string, actually. The keys to generate it are highly repetitive and relatively close together. That's true for any NL string: the lower entropy of NL strings are reflected in the keyboard layout. If the monkeys switch to Dvorak, they could probably generate Shakespeare even faster.
Of course not. There are lots of ways you can bias random that remain random, but prevent every possible output from being generated. That's all GP was saying. You can't just say "infinite time", you need to rule out biases that would prevent the desired result.
What, you egg?
[He stabs him.]
Are you certain the real thing isn't "the blurst of times" already?
https://preview.redd.it/it-was-the-best-of-times-it-was-the-...
Worse, they can’t even tell their Shakespeare from their Dickens (It’s the opening line of A Tale of Two Cities).