![{displaystyle {frac {pi }{4}}}](https://www.alleuropanews.com/wp-content/uploads/2026/03/Leibniz-formula-for-pi-Ninety-third-partial-sum.svg+xml; charset=utf-8; profile="https://www.mediawiki.org/wiki/Specs/SVG/1.0.0")
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Wednesday, March 15, 2023
On Wednesday, for users of the Month/Day system, today’s date is written as 3/15/2023 or, in abbreviated form, 3/15/23. These are the first five significant figures of the 93rd partial sum of Leibniz formula for pi, a slow-converging alternating series for pi. Since this is a series for instead of pi, we must multiply any given partial sum by 4 in order to get an approximation of pi. Here are the relevant constants, to 25 digits each:
= 0.78539 81633 97448 30961 56608.
pi = 3.14159 26535 89793 23846 26433.
On handheld scientific calculators, such as Texas Instruments, these will be rendered to 9 digits after the decimal point, so these will be displayed as “0.785398163” and “3.141592654,” respectively.
After 93 terms, the partial sum is 0.78808 62577 49868, and the associated approximation for pi is 3.15234 50309 99474. Notice that this begins with “3.1523,” which has the same five digits, in the same order, as “3/15/23.”
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