http://www.kahealani.com/articles/encryption.html
While I participate with and encourage the use of SSL encryption to make secure web connections and thereby enable user to server connections which pass private information and enable business without the interference of criminal activity, there is another kind of encryption in popular use which is very appealing and has lots of arguments going for it, which nevertheless I do not use, and heavily warn against using. An example of this type of PKI (Public Key) encryption system is the GPG / PGP variant. One feature of this kind of system is the legally accepted non-repudiability of a signature made with this system, yet studying extant flaws in the system makes it obvious to me that it's not ready for prime time, and that you could get yourself into a situation where somebody compromises your private key, and you are unable to repudiate a signature you actually did not make - a perverse combination of law and software flaws. For whatever benefits using PKI provides, I personally consider the risks of having the system hacked as too large to use... not that I'm concerned that otherwise private information will be revealed (obviously since my alternative is to not use encryption at all), but that people need to be made aware of the threat of being legally liable for false signatures. There are many articles out there you can find from a search engine, and some of them are fairly good at explaining the flaws in PKI encryption systems.
A variety of encryption systems are based upon the use of prime numbers, or more specifically, the use of prime number products. Due to a change in the difficulty of computing primes, or more specifically, therefor in the difficulty of factoring prime products, any such encryption system is now unacceptably weak, though the public at large has been spared this knowledge, and allowed to continue blithely on in the illusion of security. Professor James McCanney has solved the problem of prime numbers, has found patterns in them which were otherwise believed not to exist, and has been able to explain it so that, as he says, even a 3rd grader can calculate them. So, check out his website Calculate Primes.
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