I understand the output of the SHA-256 hashing function is a random number between 0 and 2^256. Does the randomness of this output imply that there cannot be a, so to say, honey hole in the hashing.
For instance this reddit post, http://www.reddit.com/r/BitcoinMining/comments/1rysqh/is_there_something_strange_about_block_272754_and/
They point out that someone relayed two blocks very close together, approximately 10s apart. Could they have found an occurrence where two block solving hashes sit close to each other?
I guess this kind of doesn't make sense though. Once a block is found, or a transaction is accepted, and even for each 3 seconds(timestamp) the block header is changed. So you would really could never find a block with the same hash just one number off (same block header, with two blocks one with nonce and the other nonce+1), because the first block will not be included in the second one, the second will become a dead fork in the blockchain?