Bitcoin Forum

Looking at multiple sites that exchange Bitcoin, I noticed that a number of them offer a way to deposit Bitcoin in your account by sending it to some personalized Bitcoin address.

The method in which these are generated makes me think that there must be one or more such addresses for each account.

Are there any estimates as to how many accounts on these sites need to be created to consume any appreciable portion of the total number of addresses available?

2¹⁶⁰ possible address hashes, 2³² people on the planet. So each person could have 2¹²⁸ addresses each. That's
100,000,000,000,000,000,000,000,000,000,000,000,000 addresses each. So even if you sign up to 1000's of these sites, you'll never make a dent.

It is recommended by Satoshi himself that every user should use a new address for every transaction.  Running out of addresses or ending up with the same address as someone else really isn't a concern.

Have some fun with this:

http://www.wolframalpha.com/input/?i=1000000*7000000000*365*24*60*60*14000000000*1000000 (http://www.wolframalpha.com/input/?i=1000000*7000000000*365*24*60*60*14000000000*1000000)

If 7 billion people were to generate 1 million addresses every second for a million times the age of the universe we would not run out of addresses.

(compare to http://www.wolframalpha.com/input/?i=2%5E160 (http://www.wolframalpha.com/input/?i=2%5E160))

What's your last 1000000 for?

1 million times the age of the universe :)

Yeah, 20 words is too much for me, my brain forgets words by the time I finish reading the sentence  ;D

Don't worry, I had to re-read it a few times to make sure it worked out. :)