That's a good question. I would imagine the probability to vary a great deal by what particular number one is looking for. That is, I would expect it to be v

That's a good question. I would imagine the probability to vary a great deal by what particular number one is looking for. That is, I would expect it to be very easy to find small integers, but extremely unlikely to accidentally find a very large prime number. I suspect it would be much harder to find (1 + sqrt(5)) / 2 everywhere you look than to find 3.