John D. Cook 8/6/2026

Calculating log(1000!)

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This article discusses how to compute the natural logarithm of 1000 factorial (log(1000!)) using various methods, from straightforward Python code to manual calculations with mathematical tables. It highlights the challenge of representing large factorials as floating-point numbers and demonstrates alternative approaches: summing logarithms, using string representation of the factorial, and applying Stirling's series with values from the Handbook of Mathematical Functions. The post includes Python code simulating hand calculations and shows the result matches to the last decimal place. It is relevant to IT/technology as it covers mathematical computation, programming, and numerical methods.

Calculating log(1000!)

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