Estimate average brute-force work for an exact hexadecimal address prefix from measured attempts per second.
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Each fixed hexadecimal character contributes four bits, so an n-character prefix succeeds with probability 1 ÷ 16ⁿ per independent uniform attempt. Expected attempts are 16ⁿ, and dividing by throughput gives mean time rather than a deadline.
Hex characters: 6 Attempts per second: 1000000
Average attempts: 16777216 Seconds: 16.78 Hours: 0 Probability per attempt: 5.960464477539063e-8 Note: Expected average, not a guarantee; each valid address remains equally likely.
Ethereum developers budget cosmetic prefixes, benchmark results become time estimates, and security reviews compare prefix length with brute-force work.