Wait a minute. I'm not talking about randomly generating private keys like
openssl rand -hex 32
and luck out a la (Powerball)^128. We all know the odds for finding a positive balance address that way is practically close to infinity, even if you had the computational power to check a billion addresses per second.
I'm talking about way to significantly reduce the entropy. Or completely remove it, such as finding images of paper wallets that people frequently - those were the days - used to share on Instagram, Imgur, Flickr and so forth.
Take this one, for example. It had more than 2 BTC in October 2015:
https://www.washingtonpost.com/wp-apps/imrs.php?src=http://img.washingtonpost.com/blogs/innovations/files/2014/11/IMG_20141027_185706.jpg&w=1484Another way is (was) brainwallets, maybe the stupidest contribution to the bitcoin ecosystem. A famous example is sha256sum("mike") that gives (I'm by no means taking credit for this one):
64b4d0f47c93ce23d157e68a58767356283dc9b63c459d45d0e0e39b3a64b9b9
5JadzKfQLiM4v5dpqE3J5knhkZdnug6FRmjiCxpnPMAWix11rWR
144BBhjaTofkGJzCG7opHyG5t5HP2boUXc
https://blockchain.info/address/144BBhjaTofkGJzCG7opHyG5t5HP2boUXcAfter the 2016 release of
brainflayer and this
instructional video (recommended viewing!), I assume every possbile and impossible wordlist has been used to sweep the blockchain clean of brainwallets, in a global script kiddie joint venture.
However, I might take credit for

echo -n "8" | keccak-256sum -l | tr -d ' -'
which leads us to this Ethereum address
e4b1702d9298fee62dfeccc57d322a463ad55ca201256d01f62b45b2e1c21c10
dc39020c132047dbff55bcb81aeadccc2b042b35becdd9e6a97f0e86a84785e6c96f252986cdb081103612617754ff45122e34a0c3023e26587ac1a0eba7508e
0xe0fc04fa2d34a66b779fd5cee748268032a146c0
https://etherscan.io/address/0xe0fc04fa2d34a66b779fd5cee748268032a146c0which was active only 57 days ago.
Ethereum is perhaps even more interesting than bitcoin, because of tokens and smart contracts, some of which you can easily dump on exchanges. I simply assume lots of people are sweeping low entropy ETH addresses for such tokens.
My main point is that there are other and much less explored methods, that I work on for time to time when I have some spare time. I'm done with brainwallets and Google Image, but still have one or two aces up my sleeve.
It would be cool to hook up with others who are into the same thing. I'm fairly certain you are out there. Step forth!