...so you're saying there's a chance

It a One in a million shot. So definitely will happen.

I'm sorry but I don't think it's one in a million.

If it were, we'd be finding keys left and right every second.

That was a discworld reference.

Oh sorry, my bad!

There are an estimated 10^80 fundamental particles (quarks, electrons, photons... mostly photons) in the observable universe, which is pretty close to 2^256 as these things go. "Cosmological" doesn't have quite the same ring to it though.

How about sub-quantum? Maybe there's something smaller than the chance, but nobody alive will be the one to discover it.

To be fair to stars, and for accuracies sake: we don't actually know how many stars are in the universe but we have some broad guesses.

This is a rare case where “many orders of magnitude” is underselling how unlikely something is.

It is estimated there are 10^80 atoms in the observable universe.

Even if we measure the widest distance (width of the known universe) by the smallest unit (planck length), we only get to 10^61, which is still 16 orders of magnitude away.

oh, but space is 3d, so we're talking 10^183. Just put a computer in every 10^100 of those cubes, and we'll find Satoshi's key in no time.

Find the key in no time, but how much time for the information to reach us? If it's a cube close by, then great, but most of them would still be millions of light years away.

More time for BTC price to go up.