The digits

The Digits of Pi

The decimal expansion of pi goes on forever and never repeats. Below are the first 10,000 digits (more than enough to impress your math teacher), with jump-to-position and downloadable text.

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What are the digits of pi?

Pi (π) is an irrational number, which means its decimal representation neither ends nor settles into a permanently repeating pattern. The first ten digits are 3.141592653. After that, the digits continue indefinitely — and as far as anyone has ever computed, they pass every statistical test for randomness.

The current record for calculating digits of pi stands in the hundreds of trillions, achieved using massively parallel supercomputers and the Chudnovsky formula. You don't need anywhere near that many to use pi in practice: 39 digits of pi are enough to calculate the circumference of the observable universe to the width of a hydrogen atom.

How many digits do you actually need?

  • 2 digits (3.14) — school homework and everyday use.
  • 4 digits (3.1416) — good enough for most engineering.
  • 15 digits — what NASA's JPL uses for interplanetary navigation.
  • 39 digits — circumference of the universe to atomic precision.
  • 100+ digits — bragging rights at Pi Day recitation contests.

Want the really long list?

We also have one million digits of pi, common pi numbers and the story of the number π itself.

Memorize them the fun way

If you want to remember more than just "3.14", try Pi — The Game. It teaches the digits in small chunks and turns memorization into a streak-based challenge. It's how most people get past 100 digits for the first time.