Mathematician:Shanks

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Shanks may refer to:

William Shanks $($$\text {1812}$ – $\text {1882}$$)$

English amateur mathematician famous for using Machin's Formula for Pi to calculate $\pi$ (pi) to $707$ places in $1873$, a result which was correct only up to the $527$th place.

The error was highlighted in $1945$ (or $1946$) by D.F. Ferguson, using a mechanical calculator.

Shanks' approximation was the longest expansion of $\pi$ until the advent of the electronic digital computer about one century later.

Shanks also calculated Euler's number $e$ and the Euler-Mascheroni constant $\gamma$ to many decimal places.

Also published a table of primes up to $60 \, 000$ and found the natural logarithms of $2$, $3$, $5$ and $10$ to $137$ places.

Also calculated the exact powers of $2$ up to $2^{721}$.
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Daniel Shanks $($$\text {1917}$ – $\text {1996}$$)$

American mathematician who worked primarily in numerical analysis and number theory.

Best known as the first to compute $\pi$ to $100 \, 000$ decimal places.
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