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Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it
Example of How a Filter Works:
We want to exclude private keys that contain triple repeating characters (e.g., “aaa”, “111”, etc.), because no valid Bitcoin private key from Puzzles 1-70 has had this pattern.
Without Filter:
• Generate Private Key
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.
With Filter (Efficiency Gain):
• Generate Private Key
• Filter Check: Check if the private key contains any triple repeating characters.
• If the key fails the filter (e.g., contains “aaa” or “111”), skip the public key calculation.
• If the key passes the filter, proceed to the next step.
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.
We need to update filter with every new private keys…
We want to exclude private keys that contain triple repeating characters (e.g., “aaa”, “111”, etc.), because no valid Bitcoin private key from Puzzles 1-70 has had this pattern.
Without Filter:
• Generate Private Key
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.
With Filter (Efficiency Gain):
• Generate Private Key
• Filter Check: Check if the private key contains any triple repeating characters.
• If the key fails the filter (e.g., contains “aaa” or “111”), skip the public key calculation.
• If the key passes the filter, proceed to the next step.
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.
We need to update filter with every new private keys…
You only save the cost of EC multiplication and address conversion for filtered keys, but you still have to generate and scan every private key.
The global search space and thus the brute-force difficulty remains the same. Filtering helps a bit, but doesn’t make miracle.
If the filter (no consecutive three same hex digits like aaa) holds true for 71 puzzle:
Why not exclude key generation for entire sub range:
The range we're talking about, 444000000000000000 to 44500000000000000, the first three digits are always "444" (e.g., 444000000000000000, 444100000000000000, ..., 445000000000000000).
Every key in this range starts with the triplet "444", which violates the filter we're using, as any key containing triple consecutive digits (e.g., "aaa", "111", "444", etc.) is invalid.
It will save computing for quadrillions of keys!
Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it
Note:
These findings might not be significant for others, but for me it is hard work and research of finding Bitcoins since 5 years.
These findings might not be significant for others, but for me it is hard work and research of finding Bitcoins since 5 years.
Congrats! With this kind of intelligent filtering, you’ll keep searching for the next century.
At least you’ll never run out of empty keyspace to explore. But hey, persistence is its own reward, right? Good luck seriously, you’ll need it!
How about modifying BitCrack Kernel to filter private keys (using my findings or custom filters like no consecutive 5 zeroes in private keys) before address generation!!
Does it improve efficiency??
Filtering is only useful after you’ve scanned or generated the candidate keys, so you’re still forced to generate and process just as many keys, but you throw most of them away after the work is done.
So, you’re not reducing the actual computational cost, just skipping some post-processing. It’s like searching every page in a phone book and then filtering out the wrong names after you’ve already read them all.
So, no, you don’t gain real efficiency , unless your filter can skip key generation itself, which isn’t the case here.
Example of How a Filter Works:
We want to exclude private keys that contain triple repeating characters (e.g., “aaa”, “111”, etc.), because no valid Bitcoin private key from Puzzles 1-70 has had this pattern.
Without Filter:
• Generate Private Key
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.
With Filter (Efficiency Gain):
• Generate Private Key
• Filter Check: Check if the private key contains any triple repeating characters.
• If the key fails the filter (e.g., contains “aaa” or “111”), skip the public key calculation.
• If the key passes the filter, proceed to the next step.
• Convert Private Key to Public Key (elliptic curve multiplication).
• Check Public Key: Convert to Bitcoin address, compare with target.
• If Invalid: Discard the result.
We need to update filter with every new private keys…
Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it
Note:
These findings might not be significant for others, but for me it is hard work and research of finding Bitcoins since 5 years.
These findings might not be significant for others, but for me it is hard work and research of finding Bitcoins since 5 years.
Congrats! With this kind of intelligent filtering, you’ll keep searching for the next century.
At least you’ll never run out of empty keyspace to explore. But hey, persistence is its own reward, right? Good luck seriously, you’ll need it!
How about modifying BitCrack Kernel to filter private keys (using my findings or custom filters like no consecutive 5 zeroes in private keys) before address generation!!
Does it improve efficiency??
Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it
This drastically reduces the keyspace, making brute-force search more intelligent and focused.
Drastically? Did you try to calculate how "drastically" it is? I think the better word is "negligible", not to mention this approach has no solid grounds for this.“No private keys have triples, repeated double pairs, or double 6/9/a/d — filtered to match historical puzzle patterns.”
It does not mean anything at all regarding the unsolved private keys.For example, none of the puzzles before 69 had "101" as the prefix, so following your logic the puzzle 69 could not have "101" as prefix, but it did.
You’re right!
Let it be Fact (my findings be just a statistical piece)
Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it
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?
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.git
This 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.”
Re: Bitcoin puzzle transaction ~32 BTC prize to who solves it
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?
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.git