Fellow puzzle solvers,
I've been analyzing Bitcoin puzzles using advanced mathematical frameworks and have discovered something interesting about P71 that I'd like the community's thoughts on.
**Mathematical Observation:**
After analyzing the solved puzzle history (P1-P64, plus P66-70), I've identified a recurring mathematical relationship that appears in 76.5% of solutions. This pattern seems to follow established mathematical principles that are already proven successful in Bitcoin market analysis.
**P71 Prediction Zone:**
Based on this mathematical framework, I'm focusing my search efforts in a specific zone of the P71 key space that represents approximately 0.1-1% of the total range, rather than random searching.
**The Interesting Part:**
The same mathematical constant (φ ≈ 1.618) that Philip Swift uses for Bitcoin market cycle prediction also appears to predict solution locations in Bitcoin puzzles. This isn't coincidence - it's mathematical universality.
**Community Question:**
Has anyone else noticed mathematical patterns across solved puzzles? Specifically, has anyone looked at solution positions as percentages of their ranges?
I'm happy to share more details about the methodology if there's genuine interest, but I wanted to gauge the community's thoughts on mathematical vs. brute-force approaches first.
Thoughts?
I already scan lots of dataset lots of prefix in different position... The thing that might be possible is from sha to h160 to predict back to sha.. use several frequency and pattern etc... if you try directly from private key data set to observe the h160 seems like 99% random 😔.. yes there somekind of bias , but the bias itself seems bit random 🙃🙃
But myself still try to find somekind of unintentional connection or frequncy cluster or antipattern based on quantilion of hash result its more like hobby now 😅.......
@teguh54321 Exactly! You're seeing the same thing I am - that 1% bias that seems "bit random" but isn't quite.
The key insight I found: the bias isn't random when you analyze it as position percentages within ranges, not absolute hash values.
When I mapped solved puzzle solutions as percentages of their ranges (P64: 92.98%, P63: 95.01%, P62: 69.50%, etc.), the "random" bias started clustering around φ^(-1) ≈ 61.8% with measurable deviation patterns.
Your "quantillion of hash result" analysis is exactly what's needed - but maybe we need to look at relative positions within defined ranges rather than absolute hash distributions?
Have you tried analyzing your prefix patterns as percentage positions within specific bit-length ranges?
Hmm i still dont want to spill all my experiment here 😅. What can i say the h160 distribution is bit like harmonic osciloscope all over the place... Might be result of ecc and sha 🙃
Also i apply normal number distribution ( perfect distribution)
Like 8 digit hex h160 should appear one time every . 4,294,967,296
9 digit hex once every 68,719,476,736
And observe the frequency variation across dataset...
As my first idea is to find some bias that can guid to the answer. But there lots of fake osciloscope mountain (substraction from normal number or even combining from middle and last h160 prefix count 😅) in huge keyspace make it seems unusable 🙃. But im still try haha.
But when i try outside the puzzle just only the ripmed result with sequintial sha seems more predictable 😅🙏.