I have asked this question before, this type of question but now I have a more detailed way of asking it. If a number that exceeds the total number of atoms in the universe, is that number “real” or is it just made up simply for mathematicians to talk about?

The general question is math something humans invented or is it distinct and separate from humans?

2 rocks plus 2 rocks makes 4. You can count that. Rocks exist therefor we didn’t create math.

Well, the number of atoms in the universe is estimated at to contain between 10^78 and 10^80 atoms (e.g. 10 followed by 80 zeros!). If you type that number out it doesn’t even fill up half a sheet of paper. The newest prime number, however, is so large that it fills up 3 notebooks when you type it out!!!

As of January 2016 , the largest known prime number is 2 to 74,207,281 − 1, a number with 22,338,618 digits. (three notebooks)

To use the analogy, if a number is larger than all of the known rocks in the whole universe, ie, if it can’t actually be proven to exist via counting, how doe we know that number exists?