you would need to run super-computers in parallel, hillary. it needs to be brute force.
unless you think you can revolutionize number theory in ways that are widely considered to be impossible and have eluded mathematicians for thousands of years. can you find a pattern in the distribution of prime numbers, for example? these are very difficult, but very foundational, questions in mathematics. history has repeatedly presented answers to questions of these sorts in the form of accidents, and often from unknown prodigies. i'd love to see the money directed that way, but you're not going to get a better theory of arithmetic by increasing spending.
there's no royal road to geometry.
there's a sticker on my microwave that claims that the device is complaint with communications regulations. what that actually means is that it can be controlled remotely. this is true of almost any electronic device. if you can pass a law that says the government has the right to take control of your toaster, i don't know why it's considered so brazen to pass a law that says that the government has the right to take control of your phone.
i think people need to change their perspectives on digital privacy. it's not even a question of ideals, it's more of a question of being realistic. if you have a reason to not use a phone, you should really not use a phone. i don't mean to present that in your typical "you have nothing to hide" context, i mean to state that as a pragmatic directive: if you are an activist, and you have any legitimate concerns about privacy whatsoever, be it in the context of civil disobedience or perhaps corporate espionage, you should not use any telecommunications devices.
what you do through telecommunications - which travels in public through airwaves or cables - needs to be perceived as as public as what you do at a shopping mall. i guess the disconnect is that you were once on a computer in your living room, so people saw the internet as in the realm of your personal life. but, this collapses pretty quickly when you think about it. if you're walking around in public and sending signals through the air to towers then you're in public - and should behave as though you are.
if you're going to use their servers, you're simply naive to expect them not to snoop on you. this question of exactly what they're doing and exactly what they're not doing is not what you should be concerning yourself with.
https://www.youtube.com/watch?v=0Gph0CupQv0