How to Memorize Pi

Today is Pi Day: March 14, 2016, or 3/14/16 as written in the US. (The first digits of pi are 3.14159, which can be rounded to 3.1416.) In this post I’ll show you an easy way to memorize as many digits of pi as you would like. It’s the same technique that is used by people who memorize many thousands of digits of pi.

Before I explain the method, here’s a video introduction to the basic concepts from the 2006 USA Memory Champion:

The Technique(s)

There are two techniques involved: the major system and (optionally) the memory palace technique.

The Major System

The human brain remembers pictures much more easily than numbers. By converting the numbers into images, you can memorize thousands of digits easily. Pi memorizers often convert every possible 2-digit number into a visual image. They then remember those pictures interacting with each other.

For example, the number 11 might be represented by a toadstool and the number 99 might be represented by a baboon. It may seem like extra work to add the images when only trying to remember four digits, but it’s the most effective memorization technique for longer numbers.

Major system examples

The major system is one way that memorizers convert numbers into images and back. Each digit is mapped to a consonant sound and the images are then built from those sounds. Here’s a list of the mappings:

  • 0 = s or z, because "zero" starts with z and s is just an unvoiced z.
  • 1 = t or d, because 1 looks like 1 and d is just an unvoiced t.
  • 2 = n, because 2 looks like an n on its side.
  • 3 = m, because 3 looks like an m on its side.
  • 4 = r, because the word "four" ends with r.
  • 5 = l, because if you hold out your left and, you can make an L shape with your hand, and your hand has five fingers.
  • 6 = sh, ch, zh, j (soft g) -- you can remember that the word "George" has six letters.
  • 7 = k or hard g, because the letter K looks kid of like two 7s stuck together.
  • 8 = f or v, because 8 looks like a cursive f and v is just a voiced f.
  • 9 = p or b, because 9 looks like a backwards P, and b is just a voiced p.

11 is “toadstool”, because we only look at the sounds of the first two consonants in the word: ToaDstool. According to the table above, t and d both map to 1, so the number is 11.

99 is “baboon”, because BaBoon maps to two 9s.

In the major system, you ignore vowels and the letter w, h, and y. The mappings are to consonants, not to letters, so double letters are counted as one sound if they only have one sound.

If it seems complicated, don’t worry! If you practice for a couple of hours it will become easier. We have a few suggested images in the major system database and there are some premade lists on the major system page.

Memory Palaces

Images can help you remember many more digits of pi than you would be able to remember without that method, but you still need a system to keep the images in order. That’s where memory palaces come in.

A memory palace (or “mind palace”, “memory journey”, “method of loci”) is an imaginary journey in your mind where you can place your mnemonic images in order.


The first digits of pi are 3.14159265. Let’s forget about the 3 and the decimal point, because we can remember that without mnemonics. We’ll create 2-digit images using the major system for the others:

  • 14 = oTTeR
  • 15 = TooLbox
  • 92 = BeaNs
  • 65 = SHeLL

Each image will always represent two digits, and every possible combination of two digits (00 to 99) will be represented by just one image.

Find four points in the room that you’re sitting in. I’ll illustrate the basic concept using the following image of a bedroom, but you can create the beginnings of your own memory palace in whatever room you want.

Bedroom for a memory palace

Create a series of locations inside of the room. I tend to go left-to-right, top-to-bottom, and clockwise whenever possible. Here is an example of creating four locations in the bedroom photo:

Mind palace locations

Once you’ve chosen your locations place your mnemonic images in the locations in order: otter (14), toolbox (15), beans (92), and shell (65):

Bedroom memory palace

You can now recall the numbers by mentally walking through the locations of your mind palace and translating the mnemonic images back into digits. Because you will always travel through the locations in the same order, you can keep the digits in order. You can continue to expand your memory palace to hold hundreds or thousands of digits of pi — it really works!

If you have questions, post them in the comments below, and I’ll go into more detail if anything isn’t clear!

_Image of bedroom is copyright [Mojmir Churavy]( and used under a [CC BY-SA 4.0 license](




Amol 20 Oct 2021

15 = TooLbox. Can it be 159 also as b=9. How not to confuse with other consonant in the word?

Josh Cohen

Josh Cohen 20 Oct 2021

Good question! Most memorizers create preset images for all possible numbers from 00 to 99. That means that every image only represents two digits.

In the video, it's done a little differently where he uses three digits per image. It doesn't matter whether you use two digits per image or three, but you should be consistent, and it's easier to get started, because you only need 100 images, where with a 3-digit system you need 1,000 images.

If it's a hobby, I would recommend a 2-digit system. If you want to compete in memory competitions, use a 3-digit system.

Leaf of Love

Leaf of Love 20 Oct 2021

Do I need to memorize all of my images before I make my palace?

Josh Cohen

Josh Cohen 20 Oct 2021

I recommend creating the palace first. Then fill in the locations with the images for the numbers. Most people who use the major system have fixed images for each two-digit number. You can learn the images as you memorize them.

If you have more questions, let me know. :)

Leaf of Love

Leaf of Love 20 Oct 2021

Thank you!


Lucas 20 Oct 2021

Hello ! first of all, thank you for this very interesting article ! I have a question about the first digits of the major system, lets take a 2-digit system as an example, what would be the first ten ? "0, 1, 2, 3, 4, 6, 7, 8, 9" or "00, 01, 02, 03, 04, 05, 06, 07, 08, 09" ? Or maybe both ?? Thanks !

Josh Cohen

Josh Cohen 20 Oct 2021

I recommend making a Major System for all the numbers from 00 to 99. Use those images when memorizing pi. I also keep another set of images for 0-9 using a number shape system to handle numbers of uneven length.


Kiley 20 Oct 2021

What if you run out of locations in your house and every other familiar location you can think of, and you have no rooms left? Would it be just as effective to invent a location in your mind and “travel” it when you’re going to sleep and eventually become equally as familiar with it? Would this work just as well?

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