Pi Has Been Chased for 4,000 Years. We Still Can't Catch It. Happy Pi Day.
Today is 3/14 — Pi Day. The number that hides in your GPS, your MRI, the shape of rivers, and the fabric of spacetime itself. Its root goes back to a Babylonian clay tablet from 1900 BC.
Key Takeaways
- •Pi Day (3/14) was invented by physicist Larry Shaw at the San Francisco Exploratorium in 1988 — celebrated at 1:59 PM
- •March 14 is also Albert Einstein's birthday (1879) and Stephen Hawking's death date (2018)
- •The current record: 314 trillion digits, computed on a single server in 110 days (December 2025)
- •Rajveer Meena recited 70,000 digits of pi from memory — blindfolded — in 9 hours 27 minutes (2015)
- •Without pi, GPS, MRI machines, bridges, music, satellite orbits, and quantum mechanics all break
Root Connection
The hunt for pi began on a Babylonian clay tablet around 1900 BC, where a scribe estimated it at 3.125. The Egyptians tried in 1650 BC (Rhind Papyrus, ~3.1605). Archimedes cracked the first rigorous bounds in 250 BC. Four thousand years later, we've computed 314 trillion digits — and we'll never reach the end.
Why the number that never ends is hiding in everything you use. Generated with Google NotebookLM for Pi Day 2026.
Pi Digits Computed Over Time
From Archimedes' 2 decimal places to 314 trillion digits — the chase has never stopped
Source: ENIAC records, Google Cloud, StorageReview, Guinness
Timeline
A Babylonian clay tablet estimates pi at 3.125 — the oldest known approximation
The Egyptian Rhind Papyrus implies pi ≈ 3.1605 through a circle area formula
Archimedes uses 96-sided polygons to prove 3.1408 < pi < 3.1429 — the first rigorous calculation
Welsh mathematician William Jones first uses the Greek letter 'π' — choosing the first letter of 'periphery'
Johann Lambert proves pi is irrational — its digits never repeat, never end
Ferdinand von Lindemann proves pi is transcendental — squaring the circle is impossible after 2,000 years of trying
ENIAC computes 2,037 digits of pi in 70 hours — the first computer calculation, proposed by John von Neumann
Larry Shaw invents Pi Day at the San Francisco Exploratorium — celebrated at 1:59 PM on 3/14
U.S. House of Representatives passes H.Res. 224, officially recognizing March 14 as National Pi Day (391-10 vote)
314 trillion digits computed on a single Dell server in 110 days — the current world record
Today is March 14. Three-fourteen. 3.14.
Somewhere, a physicist is eating pie. A teacher is making students recite digits. MIT is releasing admissions decisions at 1:59 PM. And a number that has haunted humanity for four millennia is having its day.
Pi — the ratio of a circle's circumference to its diameter — is the most famous number in mathematics. It is approximately 3.14159265358979323846... and then it just keeps going. Forever. No pattern. No repetition. No end.
We have computed 314 trillion digits of pi. We will never finish.
That's not a limitation of our computers. It's a property of pi itself. In 1761, Johann Heinrich Lambert proved that pi is irrational — its decimal expansion never terminates and never repeats. In 1882, Ferdinand von Lindemann proved something even more profound: pi is transcendental. It is not the solution to any polynomial equation with rational coefficients. This single proof settled a question that had tormented mathematicians for over two thousand years: can you construct a square with exactly the same area as a given circle, using only a compass and straightedge? The answer is no. It will always be no. Pi won't allow it.
But the root of pi goes back much further than proofs.
NASA uses just 15 digits of pi for interplanetary navigation. With 37 digits, you could calculate the circumference of the observable universe to the width of a hydrogen atom. We've computed 314 trillion digits. Not because we need them — because we can't stop chasing.
Around 1900 BC, a Babylonian scribe pressed a reed stylus into a wet clay tablet and recorded calculations that implied a value of 3.125 for the ratio we now call pi. It wasn't labeled, wasn't named, wasn't celebrated. It was just a number a scribe needed to calculate the area of a circle.
Six hundred years later in Egypt, the Rhind Papyrus — a mathematical manual copied by a scribe named Ahmes around 1650 BC — contained a formula for circle area that yields approximately 3.1605. Closer. But still not right.
The first person to corner pi with real mathematical rigor was Archimedes of Syracuse, around 250 BC. His method was elegant and brutal: he inscribed a polygon inside a circle and circumscribed another polygon outside it. The circle's circumference had to be somewhere between the two polygon perimeters. Starting with hexagons, he doubled the sides again and again until he reached 96-sided polygons. The result: 223/71 < pi < 22/7. That's roughly 3.1408 to 3.1429. Using nothing but geometry and Greek numerals — no algebra, no calculus, no computers — Archimedes pinned pi to two decimal places. The fraction 22/7 is still taught in schools today.
For two thousand years after Archimedes, mathematicians ground out digits one painful calculation at a time. The symbol itself didn't exist until 1706, when Welsh mathematician William Jones used the Greek letter π in his book Synopsis Palmariorum Matheseos. He chose it because pi is the first letter of the Greek word for periphery — the outer boundary of a circle. Leonhard Euler, the most prolific mathematician in history, adopted the symbol in 1736 and broadcasted it across Europe through his enormous correspondence network. By mid-century, π was universal.
Then came computers, and the chase accelerated.
In 1949, the ENIAC — a 30-ton machine with 17,468 vacuum tubes, 70,000 resistors, and a power appetite of 150 kilowatts — computed 2,037 digits of pi in 70 hours. The calculation was proposed by John von Neumann and ran over Labor Day weekend. It was the first time a computer had ever calculated pi.
In 2015, physicists at the University of Rochester found the 370-year-old Wallis formula for pi hiding inside the quantum energy levels of hydrogen atoms. Pi isn't just in our equations. It's in the atoms themselves.
From 2,037 digits to 314 trillion took 76 years. In December 2025, StorageReview computed 314 trillion digits on a single Dell PowerEdge server in 110 days. The previous record — 300 trillion by KIOXIA and Linus Media Group — had stood for just months. Pi computation has become a benchmark for pushing hardware to its absolute limits: CPU endurance, memory stability, storage bandwidth, system reliability over weeks of continuous operation.
But here's what makes pi extraordinary: we don't need those digits.
NASA's Jet Propulsion Laboratory uses 15 digits of pi — 3.141592653589793 — for all interplanetary navigation. Fifteen digits. That's enough to calculate the circumference of a circle with a radius of 15 billion miles (roughly the distance to Voyager 1) to an accuracy of about half an inch. If you used 37 digits of pi, you could calculate the circumference of the observable universe — 93 billion light years across — to an accuracy of a single hydrogen atom.
We compute trillions of digits not because we need them, but because pi has become a mirror. How far can our machines go? How fast can our algorithms converge? How much can we push? Pi doesn't care about our records. We care.
What would happen if pi vanished?
More than you think.
Your GPS would stop working. GPS triangulation relies on spherical geometry — every calculation of position on Earth's curved surface involves pi. Your phone's location would become meaningless.
MRI machines would produce nothing. Medical imaging uses Fourier transforms to convert raw signals into images of your body. Fourier transforms are built on sine and cosine functions, which are defined using pi. No pi, no MRI.
Every bridge with an arch, every tunnel with a curve, every dome on every building — the engineering calculations that keep them standing use pi to determine load distribution, material requirements, and stress tolerances on curved surfaces.
Music would be silence. Sound waves are sinusoidal functions: sin(2πft). The frequency, period, and amplitude of every sound — from a whisper to a symphony — are described by equations containing pi. Digital audio encoding, noise cancellation, equalizers — all pi-dependent.
Satellite orbits would be unpredictable. Kepler's laws describe elliptical orbits, and ellipse calculations require pi. Without it, we couldn't launch, track, or maintain the thousands of satellites that power your weather forecasts, internet, and communications.
And it goes deeper than engineering.
Pi is embedded in the fundamental laws of physics. The Heisenberg uncertainty principle — the equation that defines the absolute limit of what we can know about a particle's position and momentum simultaneously — contains pi: Δx·Δp ≥ ℏ/2, where ℏ = h/(2π). Einstein's field equations of general relativity — the equations that describe how matter curves spacetime — contain the factor 8πG/c⁴. Pi is not something humans invented and then inserted into physics. It was already there, woven into the fabric of reality.
In 2015, physicists Carl Hagen and Tamar Friedmann at the University of Rochester found something that startled the mathematics community. While calculating the energy levels of hydrogen atoms using quantum mechanics, they recovered the Wallis formula — a 370-year-old expression for pi first published by John Wallis in 1655. Pi wasn't just used in the equations. It emerged from the quantum behavior of the simplest atom in the universe. They called it "a cunning piece of magic."
Pi is also hiding in nature. Earth scientists have observed that the average ratio of a river's actual winding length to its straight-line distance from source to mouth approaches pi. Rivers meander in patterns whose geometry converges on 3.14. Nobody designed this. It's a consequence of fluid dynamics and erosion — physics doing math without a calculator.
In 1777, Georges-Louis Leclerc, Comte de Buffon, posed a probability puzzle: drop a needle on a floor of parallel lines, and the probability of the needle crossing a line is directly related to pi. In 1901, Italian mathematician Mario Lazzarini performed the experiment 3,408 times and derived pi to six decimal places. You can calculate the most famous constant in mathematics by throwing a needle on the floor. Pi is everywhere, even in randomness.
Pi Day itself has a root worth knowing.
In 1988, Larry Shaw — a physicist at the San Francisco Exploratorium — linked March 14 with 3.14 at a staff retreat. On March 14, 1988, at 1:59 PM (because 3.14159), he and his colleagues ate fruit pies and marched around a circular brass plaque — the Pi Shrine — exactly 3.14 times while a boombox played the digits of pi. Shaw's daughter later pointed out that it was also Albert Einstein's birthday.
Shaw led the Pi Day parade every year for 29 years until his death in 2017. Stephen Hawking died on Pi Day in 2018 — Einstein's birthday, Shaw's holiday, the universe apparently having a sense of humor.
In 2009, the U.S. House of Representatives made it official, passing Resolution 224 by a vote of 391 to 10 to recognize March 14 as National Pi Day.
Today, MIT releases admissions decisions at 1:59 PM. Princeton holds Einstein look-alike contests. Pizza chains sell pies for $3.14. And Rajveer Meena's record of reciting 70,000 digits of pi from memory — blindfolded, in 9 hours and 27 minutes — still stands from 2015.
But here's what stays with me.
A Babylonian scribe in 1900 BC scratched 3.125 into clay. Archimedes used polygons to trap pi between fractions. Newton, Euler, Ramanujan — they all chased it. Von Neumann pointed ENIAC at it. Google threw cloud computing at it. We've burned 110 days of continuous server time to produce 314 trillion digits that no human will ever read and no application will ever need.
And pi doesn't care. It just keeps going. Indifferent to our records, our celebrations, our reverence. The digits don't stop. They don't repeat. They don't reveal a pattern. Four thousand years of human effort, and the number is exactly as unknowable as it was when that Babylonian scribe first pressed reed to clay.
That's not frustrating. That's beautiful. Pi is proof that the universe contains things we can use perfectly, describe precisely, depend on absolutely — and never, ever fully know.
Happy Pi Day.
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