i laugh at people who think they are math experts.
You must laugh at yourself too then.
there are 2 (followed by 160 zero) possible combinations.. some of you naively believe that if you start at 1 and count upwards it would take 2(followed by 160 zero's) to find a collision.
Queue more laughter. Learn how the power function works please.
with an estimated 84mill addresses being used, there is a chance that one of these 'used' addresses is randomised in the low range.
2^160 is approximately 10^48 (1 with 48 zeroes). If 84 mill addresses are used (lets say 100 mill for ease of computation), that makes the probability of a new randomly generated address to collide with an existing address equal to 1 : 10^40.
Suppose in the distant future every person in the world (lets say there are 10 B people by then) uses 1000 addresses each, for a total of 10^13 addresses. If every person now has the computer power to generate and test 10^13 addresses per second (that is the size of the entire *huge* global supply of active addresses every second by every person), in one day the odds of finding a collision are approximately 1:10^7, which makes the expected time to find one collision 30000 year at this mindbogglingly high generation rate.
I think we're fairly safe.