A party trick, checked properly · 30 September 2026
Is your birthday in pi?
I computed the first million digits of pi on this laptop, twice, by two unrelated methods, and they agree on every digit. Type a date to see where it first turns up.
Loading the digits…
Pi’s digits behave like random ones
If the digits were truly random, a particular six-digit string would first appear after about a million digits on average. The chance it has shown up by digit N would be 1 − e−N/10⁶, which is 63.2% by one million. Here is every day-month-year date from 1900 to 2099, written as DDMMYY, against that prediction.
Chart values
| By decimal place | Dates found | Random-digit prediction |
|---|
Checks
- Two independent computations of the same million digits: the Chudnovsky series with exact integer arithmetic (63 s), and the Gauss–Legendre iteration in decimal floating point (19 min). They agree on all 1,000,000 digits.
- Known landmarks turn up where they should: the first 50 digits, and six 9s in a row starting at decimal place 762.
- Each digit 0–9 appears between 99,548 and 100,359 times. A fair ten-sided die would give about 100,000 ± 300.
Positions count decimal places after the “3.”, so position 1 is the first 1 of 3.14159… This page holds only the first million digits, so a date it cannot find may still turn up further along. Computed with Python in pi.py and pibday.py.