Not only are the three problems I mentioned above the most serious open issues in cryptography, but the actual encryption of information might be the least difficult. As long as they are implemented correctly, and no one has some quantum or otherwise impossibly powerful computer lying around someplace that no one knows about (or has solved the Riemann Conjecture), then RSA, El Gamal, AES (w/ proper mode), Blowfish (ditto), and numerous others are unbreakable as well. In fact, with the lack of restrictions the author includes for what constitutes "unbreakable" cryptography, a one-time pad will also work just as well.
And yes, I do realize he gives mention to this at the bottom of the article, but it's still hilarious to title this "unbreakable" cryptography.