I see what you’re saying (assuming you mean a random integer from 0 to infinity), but it couldn’t really, since there’s no such thing as an integer with infinite digits - any random integer will have finite number of digits.

The real problem is there’s no way to choose a random number from 0 to infinity. Every finite number has a probability of 0, and in fact, for any number you choose, there is 0 probability that it will be less than that number. Note that 0 probability is different from “impossible” - see https://en.wikipedia.org/wiki/Almost_surely

yes, don’t listen to the biologists who tell you otherwise.

are we counting an infinite number of zeroes after the decimal point, as having infinite digits? because if you specifically exclude while numbers, your output would not be truly random, though it would be essentially impossible to distinguish it from true randomness.

Wait, are you high in the shower? Because that’s a little different.