There are 2256 public/private key pairs.
Isn't the maximum value of private keys based on the p of secp256k1, which is 2
256 - 2
32 - 2
9 - 2
8 - 2
7 - 2
6 - 2
4 - 1 ? It's close to 2
256, but not exact. Not to be pedantic, just want to make sure my understanding is correct.
For the people who do not understand math, the chances of a collision are about as good as you win the powerball jackpot three times in a row by selecting "autopick" in the same transaction