I've always felt that the NSA and its corp of mathematicians has a much greater chance of breaking anything than the folks in the University. Even in the best situation (MIT), a professor must devote substantial time to raising money to support themselves, their travel expenses and their graduate students. There aren't many folks who hold positions in these schools. The rest are in schools where the professor must also teach 2-4 classes to pay for food. Research is nice in these places, but it doesn't pay the rent. Very, very few people have the freedom and the time to devote to deep exploration of problems like cracking RSA. Most of them are in the NSA. There is no doubt that the restrictive work environment is a pain in the neck. But, most mathematicians don't really have many choices. They can go to a small college and teach forever. They can go to industry and work hard on the industry's problems. Or they can go to the NSA. It really isn't a bad choice in many respects. No classes. No students whining about their grades or asking for an extension. No endless search for grant money. If you want to do algebra or number theory or a host of other problems, it might be considered one of the best environments you could get short of the Institute for Advanced Study.