I can't understand what is the purpose of collecting addresses with the same prefix within the same private key range.
Is there some sort of secret formula that would help in getting the private key of the puzzle?
Someone enlighten me please.
There isn’t.
Some people are using those prefixes to “guide” the way they search the space. Some claim to do it for fun, some claim it gives you better odds. I disagree and proved it both formally and empirically.
It turns out that people want this edge to exist so badly that they won’t change their mind regardless of how many proofs you show them.