The mathematicians may have not accounted for logical reconstruction, or even be running the algorithm right. The brain doesn't need to remember all the details about a memory just a few important ones, and those can be continually strengthened through more use; then the brain uses logical reconstruction to construct the rest (fitting it in with any remembered details). For example trying to remember your first date, you don't start listing all the details you actively work them out from a select few (what age you were, which city you would of been in, which girl you with, what she looked like, after that it falls into place with all the other information on the subject). If you want to see this at work just look at witness testimonies, they vary wildly because of all the logical reconstruction going on, and that cant be identified as different from the remembered facts. Similar to how vision works, you don't take in the whole scene all at once, your brain makes you a working model from lots of different pieces of information, from many different times. What the researchers should of said is consciousness isn't possible by using existing methods of data retention, and compression, without natural problem solving abilities.
