Someone on here asked a question or mentioned something recently. I think the discussion was about "wrong" ideas that are useful, and the idea was that prime numbers are random. Someone in replied that prime numbers are not random. But that got me thinking, do random numbers exist? I have an engineering and computer science background. There are lots of methods to produce "random numbers" and "random distributions".

But that really got me thinking, is it even possible to actually randomly choose a number? I can't think of a method or model that is truly random. That is to say, with the same set of inputs (seed) you will always get the same number out. Even if you asked a human to pick a random number out of a hat, most of them have some cognitive bias. You might also argue that if you went back in time, and asked them to pick a number, the same neurons would fire they would pick the same number.

So if it is argued that prime numbers are not random, because they are determined by some deterministic rule/formula, what IS an example of a random number?

If you argue that say you choose a random number from a distribution, HOW could it be possible to randomly choose that number?