user137050: How can the generation of a vanity address be accelerated?. How can the brute-force algorithm be improved beyond trying a bunch of randomly selected private keys?

user13866: 
How can the generation of a vanity address be accelerated?.

By applying better hardware, faster CPU and GPU hardware. Or more of them.

How can the brute-force algorithm be improved beyond trying a bunch of randomly selected private keys?

If anyone knew an algorithm better than brute-force search for discovering the private key for a partial address, I believe Bitcoin would probably be broken and unusable.

137050: <p>How can the generation of a vanity address be accelerated?. How can the brute-force algorithm be improved beyond trying a bunch of randomly selected private keys?</p>
 13866: <blockquote>
<p>How can the generation of a vanity address be accelerated?.</p>
</blockquote>
<p>By applying better hardware, faster CPU and GPU hardware. Or more of them.</p>
<blockquote>
<p>How can the brute-force algorithm be improved beyond trying a bunch of randomly selected private keys?</p>
</blockquote>
<p>If anyone knew an algorithm better than brute-force search for discovering the private key for a partial address, I believe Bitcoin would probably be broken and unusable.</p>
