Topic: There are more possible keys that could be my PGP key than there are particles in the universe.
Anonymous A started this discussion 15 years ago#6,727
There are 10^80 particles in the universe.
There are 2^4096 possible 4096bit PGP Private keys.
So there are approximately 10443888814131525066917527107166243825799642490473837803842334832839539079715574568488268119349975583408901067144392628379875734381857936072632360878513652779459569765437099983403615901343837183144280700118559462262760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 more possible PGP keys than there are particles in the universe.
And so, theoretically, it will never be broken by a brute force attack. It would take a computer larger than the earth, working for longer than the age of the universe to crack it.
And if I upgrade to a 4097bit key, it will take twice that long.