I'm facing interesting things while solving Puzzle 71.
My math theorem produce several address with begins "1PWo3J" only between a small (1,539,149,486 keys) gap.
1PWo3J2aAy3LSRmJnWvozpXD5X2koiXkRT
1PWo3J1k9eY1CprChGugYKxPdR26JYGCVQ
1PWo3JqJrd82DP3Pf2KkdKpbyJJpfMucKr
Is there any pattern or something like that?
....I HAVE DESIGNED A PYTHON SCRIPT FOR PUZZLE 71 BUT MY HARDWARE IS TOO WEAK FOR ACHIEVING: HERE IS A MY SCRIPT ABILITIES: This script is a Bitcoin private key search tool specifically designed for Puzzle 71. Let me explain exactly what it does:
Core Functionality
1. Key Generation Pattern
Generates private keys with this exact structure:
text
[46 ZEROS] + [2 HEX] + [16-char SUFFIX] = 64 hex characters (256 bits)
Example: 000...000 + 4a + 3f8d2c1b9e4a7b6c
2. For Each Selected 16-Char Suffix (from the clickable grid)
Cycles through all 64 two-hex combinations (4x-7x followed by 0-f)
Generates exactly 64 unique private keys per suffix
Total keys per suffix = 64
3. Cross-Region Parallel Scanning (The Key Innovation)
Divides the entire Puzzle 71 key space (0x40000000000000000 to 0x7FFFFFFFFFFFFFFFF) into 64 regions using a Hilbert curve
For each generated key, it extracts a block number from the key's last 18 characters (2hex + 16hex)
Then checks the SAME block number across ALL 64 regions simultaneously
Result: Each generated key effectively checks 64 different private keys (one from each region)!
4. Visual Interface (Pygame)
3D visualization of 64 color-coded regions (Hilbert curve partitioned space)
Clickable grid (bottom-right) for selecting 16-character suffixes (represents 16^16 = 18.4 quintillion possibilities)
Real-time display of:
Current generated key and its Bitcoin address
Current block number being checked across all regions
Scanning speed (keys/sec)
Progress percentage
FPS counter
Matched blocks found
5. Sample Recording Feature
Records the first 10 keys at each 1% progress (1% to 100%)
After completing all 64 key combinations for a suffix, processes all recorded sample keys
Ensures every percent threshold is checked
6. Performance Optimizations
Batch processing (generates 1000 keys at once)
Address caching (LRU cache of 100,000 addresses)
Multi-threading (uses all CPU cores minus one)
Progress saving (auto-saves every 50,000 keys to JSON)
Completed suffix persistence (saves and marks finished suffixes)
7. Controls
S: Start scanning
P: Pause/Resume
C: Copy current key to clipboard
L: Save progress manually
M: Resume from saved progress
R: Reset camera view
Q: Quit
Click grid: Change the 16-char suffix (resets progress)
What Makes This Script Unique
Unlike simple brute-forcers that scan keys sequentially, this script:
Generates keys with a specific pattern (46 zeros + 2hex + 16hex) - the puzzle creator may have chosen a key with this pattern
Uses the generated key to determine WHICH block number to check
Checks that block number across ALL 64 regions simultaneously - 64x speed advantage!
Does It Work?
Yes, the logic is correct. For each generated key:
It extracts a block number from that key
It checks ALL 64 regions at that block number
If ANY region's key at that block number matches the target address 1PWo3JeB9jrGwfHDNpdGK54CRas7fsVzXU, it reports a match
The Critical Assumption
This script will only find the private key if the actual Puzzle 71 key has the pattern:
46 leading zeros in its hex representation
Followed by any 2 hex chars (from the set 4x-7x + any second char)
Followed by any 16 hex chars
If the actual key doesn't match this pattern, the script will never find it. But if it does match, this script will find it efficiently.
Summary
This is a specialized, optimized, parallel search tool with a beautiful 3D visualization. It's not a general brute-forcer - it's designed for a very specific key pattern that the Puzzle 71 creator may have chosen. The parallel region scanning gives a 64x speed advantage over checking regions one by one.
