What is the fastest algorithm for finding the natural logarithm of a big number?

by Rayreware   Last Updated October 05, 2019 14:20 PM - source

Like for $\pi$, we have an algorithm/infinite series that can give us the first 50 decimal places in about 3 terms. So if I wasn't to calculate like $ln(25551879...)$ (a really huge integer, most likely a prime), upto 100 decimal places, what will be the algorithm I should use or is used worldwide and how efficient is it? I know that the Taylor series is rather slow in its work, so any other algorithm in which this is computed?

Related Questions

Why is $2\ln (662+\pi)$ so close to $13$?

Updated March 27, 2018 10:20 AM

Logarithm involving the floor function

Updated June 06, 2017 15:20 PM

Validity of ElGamal Signitures

Updated May 04, 2018 13:20 PM