This puzzle is very strange. If it's for measuring the world's brute forcing capacity, 161-256 are just a waste (RIPEMD160 entropy is filled by 160, and by all of P2PKH Bitcoin). The puzzle creator could improve the puzzle's utility without bringing in any extra funds from outside - just spend 161-256 across to the unsolved portion 51-160, and roughly treble the puzzle's content density.
If on the other hand there's a pattern to find... well... that's awfully open-ended... can we have a hint or two?

I am the creator.
You are quite right, 161-256 are silly. I honestly just did not think of this. What is especially embarrassing, is this did not occur to me once, in two years. By way of excuse, I was not really thinking much about the puzzle at all.
I will make up for two years of stupidity. I will spend from 161-256 to the unsolved parts, as you suggest. In addition, I intend to add further funds. My aim is to boost the density by a factor of 10, from 0.001*length(key) to 0.01*length(key). Probably in the next few weeks. At any rate, when I next have an extended period of quiet and calm, to construct the new transaction carefully.
A few words about the puzzle. There is no pattern. It is just consecutive keys from a deterministic wallet (masked with leading 000...0001 to set difficulty). It is simply a crude measuring instrument, of the cracking strength of the community.
Finally, I wish to express appreciation of the efforts of all developers of new cracking tools and technology. The "large bitcoin collider" is especially innovative and interesting!
Found Hidden Patterns in Private Keys:
https://github.com/syedsohailahmedsam/BTC_32_PUZZLE.gitThis is not a blind brute-force tool.
It is an intelligently constrained search engine for keys that might satisfy the structure of Puzzles.
While still computationally difficult, filtering improves performance and feasibility.
🔧 Want to adjust the rules? Just modify the is_valid_hex_key() logic in either script.
Custom Filtering Rules were derived from previously found private keys of puzzles 1-70. You can see found private keys in "numbers.txt".
In our analysis of all known solved Bitcoin cryptographic puzzles (Puzzles 1–70), we discovered that certain patterns have never appeared in any of the revealed private keys.
❌ "No private keys have..."
We exclude any hex private key that contains:
❌ Triple Characters
No valid puzzle solution has ever had three identical hex characters in a row.
Example: "aaa", "666", "fff", "000" → all are invalid
❌ Repeated Double Pairs
While a key might have a pair like "aa" or "ff", no key ever repeats the same pair.
Example: "112211" → "11" appears twice → invalid
❌ Double Characters from a Restricted Set (6, 9, a, d)
Based on prior solutions, no valid key has ever had a double of these characters.
Disallowed patterns: "66", "99", "aa", "dd"
🧠 Why This Matters
These exclusions are not random — they are based on actual solved keys from the Bitcoin Puzzle series.
Zero to negligible instances of these patterns have appeared in the first 70 puzzles.
This drastically reduces the keyspace, making brute-force search more intelligent and focused.
📌 Summary Line (for README or Code)
“No private keys have triples, repeated double pairs, or double 6/9/a/d — filtered to match historical puzzle patterns.”