why are you trying so hard to find a pattern where there are none?
this is not even "exactly a puzzle", i think you are misled by the choice of words by the starter. all these numbers you are trying to find a pattern for are chosen using a cryptographically secure pseudorandom number generator which has no pattern, if it did then it would have never been "secure" and should be considered broken.
the whole purpose of this is to show the strength of bitcoin private keys which are 256 bits. so far so much computing power has been wasted and they haven't even covered more than 4.9e-58 percent of it (that is 4.9 * 10-58)