Bitcoin Power Law Tracker

View Bitcoin's complete price history from genesis (2009) to present against the power law regression model with coefficients a = 1.42×10⁻¹⁷ and b = 5.79. The power law suggests Bitcoin follows a predictable mathematical relationship over its entire lifespan.

Power Law Price Calculator

January 1, 2025

Power Law Model Price
$91,344
Using power law coefficients: a = 1.42×10⁻¹⁷, b = 5.79
(Projects power law curve 5 years into the future)

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iAbout the Power Law Model

The Bitcoin Power Law is a mathematical model that suggests Bitcoin's price follows a power function over time. The model uses the formula:

Price = a × (days since genesis)^b

Where a = 1.42×10⁻¹⁷ and b = 5.79. This model has shown remarkable accuracy in describing Bitcoin's long-term price trajectory, suggesting that Bitcoin's adoption and value growth follow predictable mathematical patterns.

The logarithmic chart above shows both the actual Bitcoin price (orange line) and the power law model prediction (red dashed line). Deviations above or below the power law can indicate potential overvaluation or undervaluationrelative to the long-term trend.