Tracing the Evolution of Pi from Archimedes to Modern Computers
The Story
The quest to calculate pi stretches back nearly 4,000 years, beginning with early approximations in Babylon around 3.125 and ancient Egypt near 3.1605 that both landed close to but short of the true value.
Around 250 BCE the Greek mathematician Archimedes introduced the first rigorous geometric method, drawing polygons inside and outside a circle to bound pi and pin it to the digits 3.14.
Ptolemy later refined the same polygon technique to reach 3.1416, while the Chinese mathematician Liu Hui achieved four accurate digits and Zu Chongzhi pushed to seven, a record that held for roughly 800 years.
The rise of infinite series mathematics in the 16th and 17th centuries accelerated everything, with Isaac Newton computing 15 digits in 1665 and later scholars reaching 71, 100, and eventually 620 digits by hand.
Electronic computers transformed the pursuit entirely, as ENIAC calculated 2,037 digits in roughly 70 hours during the late 1940s and modern machines have since found trillions of digits.
Each new record reflects less a practical need for more decimals than a benchmark of mathematical ingenuity and raw computing power, with pi calculation now serving as a standard stress test for new hardware.
Around 250 BCE the Greek mathematician Archimedes introduced the first rigorous geometric method, drawing polygons inside and outside a circle to bound pi and pin it to the digits 3.14.
Ptolemy later refined the same polygon technique to reach 3.1416, while the Chinese mathematician Liu Hui achieved four accurate digits and Zu Chongzhi pushed to seven, a record that held for roughly 800 years.
The rise of infinite series mathematics in the 16th and 17th centuries accelerated everything, with Isaac Newton computing 15 digits in 1665 and later scholars reaching 71, 100, and eventually 620 digits by hand.
Electronic computers transformed the pursuit entirely, as ENIAC calculated 2,037 digits in roughly 70 hours during the late 1940s and modern machines have since found trillions of digits.
Each new record reflects less a practical need for more decimals than a benchmark of mathematical ingenuity and raw computing power, with pi calculation now serving as a standard stress test for new hardware.
Why It Matters
The record the summary parks at trillions has moved three times since. StorageReview hit 202 trillion digits in June 2024, Kioxia and Linus Media Group answered with 300 trillion in May 2025, and StorageReview took it back at 314 trillion with a 110 day run on one Dell server, a result ScienceAlert tallied on Pi Day 2026. Ingenuity moved too: IISc physicists Arnab Saha and Aninda Sinha found a new pi series inside string theory work, published in Physical Review Letters in June 2024, that closely approaches Madhava's 15th century series, per IISc. NASA needs 37 decimals to size the universe; the rest is a storage benchmark. Watch whether anyone tops 314 trillion before Pi Day 2027.
Go Deeper
Read the original reporting at Brewminate.
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