The scale of Bitcoin private keys is hard to imagine. Here are a few ways to understand it.
If your seed was hidden into an atom with an entropy of:
🔹 40 bits ≈ 1.1 × 10¹² possibilities
Comparable to the number of atoms in a tiny speck of dust.
A modern GPU could find your seed in minutes.
🔹 72 bits ≈ 4.7 × 10²¹ possibilities
Comparable to the number of atoms in about 0.1 grams of water.
A single powerful GPU would need around 75,000 years to search the entire space.
🔹 128 bits ≈ 3.4 × 10³⁸ possibilities
Roughly comparable to the number of atoms in a large mountain or asteroid.
Even a modern GPU would need around 10²¹ years to brute force it.
🔹 256 bits ≈ 10⁷⁷ possibilities
Roughly comparable to 1/10,000 of all atoms in the observable universe.
Why does it grow so fast? Because every extra bit doubles the search space, which doubles the search time and therefore doubles the security.
Bitcoin's 256-bit keys are numbers comparable to the cosmos itself. They stay beyond any physical scale we can realistically attack.






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Quick explanation on the sets:
- WROGDOING: bad actions, also honest mistakes (eg miscalculation)
- EVIL: wrongdoing, but done intentionally (eg insult)
- CRIME: evil actions, but they also violate a principle (eg theft)
- MAFIA: crime, but organized (eg state)
- FIAT: mafia's control over money. ➡️THIS⬅️
FIAT is what Bitcoin is attacking directly and trying to fix. It doesn't fix mafia, crime, evil or wrongdoing completely, but by replacing FIAT there will be good indirect side effects, for sure! 😊
Thank you 