The value of pi at a glance
| Digits | Value of π |
|---|---|
| First 10 decimals | 3.1415926535 |
| First 20 decimals | 3.14159265358979323846 |
| First 50 decimals | 3.14159265358979323846264338327950288419716939937510 |
| First 100 decimals | 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679 |
How to read the positions: position 1 is the first digit after the decimal point. So in π = 3.14159…, position 1 is 1, position 2 is 4, position 3 is 1, position 4 is 5 and position 5 is 9.
The first 1,000 digits of pi
Fifty digits per line, in groups of ten. The label on the left shows the decimal positions in each line.
integer part3.
1–501415926535 8979323846 2643383279 5028841971 6939937510
51–1005820974944 5923078164 0628620899 8628034825 3421170679
101–1508214808651 3282306647 0938446095 5058223172 5359408128
151–2004811174502 8410270193 8521105559 6446229489 5493038196
201–2504428810975 6659334461 2847564823 3786783165 2712019091
251–3004564856692 3460348610 4543266482 1339360726 0249141273
301–3507245870066 0631558817 4881520920 9628292540 9171536436
351–4007892590360 0113305305 4882046652 1384146951 9415116094
401–4503305727036 5759591953 0921861173 8193261179 3105118548
451–5000744623799 6274956735 1885752724 8912279381 8301194912
501–5509833673362 4406566430 8602139494 6395224737 1907021798
551–6006094370277 0539217176 2931767523 8467481846 7669405132
601–6500005681271 4526356082 7785771342 7577896091 7363717872
651–7001468440901 2249534301 4654958537 1050792279 6892589235
701–7504201995611 2129021960 8640344181 5981362977 4771309960
751–8005187072113 4999999837 2978049951 0597317328 1609631859
801–8505024459455 3469083026 4252230825 3344685035 2619311881
851–9007101000313 7838752886 5875332083 8142061717 7669147303
901–9505982534904 2875546873 1159562863 8823537875 9375195778
951–1,0001857780532 1712268066 1300192787 6611195909 2164201989
Need more? PI Explorer lets you scroll through one million verified digits, search for any sequence of digits, jump to a position and copy any range. The first 10,000 digits are also available as plain text.
Pi rounded to common decimal places
Rounded values are what you use in calculations. Note that rounding can change the last digit: pi to four decimal places is 3.1416, not 3.1415, because the next digit (9) rounds up.
| Decimal places | Pi rounded | Typical use |
|---|---|---|
| 1 | 3.1 | Rough mental estimates |
| 2 | 3.14 | School homework, everyday maths |
| 3 | 3.142 | Quick engineering estimates |
| 4 | 3.1416 | Most practical measurements |
| 5 | 3.14159 | Common textbook value |
| 10 | 3.1415926536 | A typical calculator display |
| 15 | 3.141592653589793 | NASA JPL interplanetary navigation |
| 20 | 3.14159265358979323846 | Far beyond any physical measurement |
| 50 | 3.14159265358979323846264338327950288419716939937511 | Mathematical curiosity |
Curious why 15 decimals are enough for space travel? Read how many digits of pi we really need.
Notable places in the digits of pi
The digits of pi look random, but some spots are famous. Each link opens PI Explorer at that position:
- Position 32: the first 0 in pi’s decimals. See it
- Position 100: the 100th decimal is 9. See it
- Positions 762–767 — the Feynman point: six 9s in a row, 999999. Physicist Richard Feynman is said to have joked about reciting pi up to here and ending with “…999999 and so on”. See it
- Position 1,000: the 1,000th decimal is 9. See it
- Position 17,534: the first run of five zeros, 00000. See it
- Position 176,451: pi “finds itself” — 314159 appears again. See it
- Position 710,100: 3333333, seven 3s — the longest run of one repeated digit in the first million decimals. See it
How to memorize the digits of pi
Memorizing pi is a popular challenge, especially around Pi Day on March 14. Three techniques that work:
- Chunking. Learn the digits in blocks of five or ten, exactly as they are grouped above. Master one line of 50 before moving on.
- Word mnemonics (“piphilology”). Count the letters in each word of a sentence: “How I wish I could calculate pi” gives 3-1-4-1-5-9-2, or 3.141592.
- Rhythm and repetition. Read the digits aloud with a steady rhythm each day, and test yourself against the table by covering the line you are learning.
Questions about the digits of pi
What are the first 10 digits of pi?
Pi to 10 decimal places is 3.1415926535 (truncated). Rounded, it is 3.1415926536.
What is the 100th digit of pi?
The 100th digit after the decimal point is 9.
What is the 1,000th digit of pi?
The 1,000th digit after the decimal point is 9.
Do the digits of pi ever repeat?
No. Pi is irrational, so its decimal expansion never ends and never settles into a repeating pattern — although short sequences, like 999999, naturally appear here and there. Why pi is irrational.
Does my birthday appear in pi?
Very possibly. About 63% of all possible six-digit sequences appear somewhere in the first million digits, and every four-digit sequence does. Search for yours in PI Explorer.
Are these digits accurate?
Yes. They were computed with the Chudnovsky algorithm using exact integer arithmetic and checked against an independent computation with Machin’s formula. How the digits are verified.