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So the nonces are more divisible by 256... but not by much relative to the entire batch. However, there is still a slight pattern there.

No probs. Remember, to account for blocks that have a very low difficulty - as they throw the equation off.

verters com slash blockcheck tl;dr - it seems that 90% or more of blocks have a nonce value divisible by 256. Can this be confirmed? If so, it essentially means that only mining nonce values divisible by 256 will yield a far greater chance of finding blocks.