The obvious mathematical breakthrough would be development of an easy way to factor large prime numbers.
Bill GatesNow, we put out a lot of carbon dioxide every year, over 26 billion tons. For each American, it's about 20 tons. For people in poor countries, it's less than one ton. It's an average of about five tons for everyone on the planet. And, somehow, we have to make changes that will bring that down to zero.
Bill GatesIf you withdraw the incredible focus on polio, it will spread back, and in poor countries you'll get something like 100,000 cases a year. So by being very intense and getting the cases down to zero, what you do is you avoid all the future cases.
Bill GatesEven for the very best programmers ah, sometimes you'll see someone else's program or somebody will come along and they'll show you what can be done in a simpler way.
Bill Gates