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Keys get created in batches by the developer/publisher ( usually a few thousand at a time) and then resold on authorized reseller sites.
So you have all those combination possibilities but only a certain amout of keys that could be any of them.
Untill they actually exist they will not yield anything...
? Cool.
Find better ways to spend your time.
Are you sure? "Algorithmic" would actually LOWER the security, because you could ignore certain combinations right away. If each digit is generated randomly then you cannot locally discard key-candidates as there is no pattern to examine them beforehand.
And when the key was already redeemed you can pat yourself on the head because you found a valid Steam key, but it's not giving you anything. So, at any point in time, only a small fraction of the generated keys are actually still armed.
But since all keys are server-side validated there may be not so much need to be algorythmic.
Who knows.
There's also other considerations, like avoiding similar symbols (Like s and 0s). which I'm not sure if Steam keys follow right now (Been a while since the last key I redeemed)
We also have to account for all the already redeemed combinations.
If you are lucky, they might even map the missing characters to their equivalent as input error correction, giving you more valid codes.
(I am a bit surprised they have 2 and Z in them though)
Rule of thumb is to assume 20 characters (also accounting for I=J and W= VV) when generating keys.
You usually also avoid repeating characters to avoid user error by skipping or even repeating patterns. You would also avoid words or number sequences. A Steam code reading SATAN-X666X-ALLAH will certainly look hilarious, but if Doom would be assigned to it you WILL make the news. And "it's random" will not help you against fundamentalist Christian soccer moms. :P
You're much more likely to be able to "generate" a Steam key by emailing a developer and asking them if they can give you a Steam key for free. The chance that a randomly selected game developer will say yes to a random stranger asking for a free key is astronomically higher than the chance you'll pick a random sequence of 25 characters that happens to be an unclaimed, valid Steam key.
And the only way to check would be to redeem it, which would make the code no longer be an unclaimed, valid Steam key.
Doesn't matter who's guessing the numbers. Steam isn't going to let you try that many keys within a human lifetime.