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  1. The terminal digit of consecutive prime numbers is not randomly distributed in the first hundred million prime numbers. The comments at Bruce Schneier's blog took a look at this as well. Anything having to do with patterns in prime numbers is potentially important to cryptography, since modern asymmetric encryption (the kind used for banking and other important stuff) relies on the difficulty of manipulating very large prime numbers. If there are patterns that weren't recognized before, it might be easier to manipulate primes than was hitherto recognized, and that might mean that asymmetric encryption using prime numbers is less secure than previously thought.