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How to memorise Pi to 100 places
Pi
For many years, I’ve been interested in the challenge of memorising as many digits of Pi as possible.  I’ve now finished memorising the first 100 decimal places:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 70679

Obviously, you need some sort of technique to memorise all those digits!  Some people use piphilology – memorising specially constructed sentences or poems, in which the number of letters in each word is equal to the corresponding digit of Pi.  However, reciting digits of Pi which have been memorised in this way is a very slow process, since you must count up the total number of letters in each word as you go along.

Instead, I prefer to memorise Pi by looking for patterns in the sequence of digits, and grouping the digits into blocks.  The table below shows my own technique for memorising the first 100 decimal places.
  • Important repeated digits in each block are coloured blue.  These digits are the key to memorising the block.
     
  • Digits which link one block to the next have a  pink background .  These digits help you remember what the next block is.
So let’s get started!
 
3.14159 Everyone knows the first five decimal places Smiley
26535 Remember the repeated 5.
8979 These...
3238 ...three...
4626 ...blocks of four digits each have a repeated digit.
43383 The 4 links the previous block to this block.  This block also has three 3s in it.
27950 This is the start of a linked chain of five blocks.  This block starts with 2...
28841 ...and so does this one.
97169 This block has a repeated 9...
399375 ...and this block has a nice repeating 3.
105820 This is the final block in this chain.
97494459 Here’s a nice repeating pattern of 9 and 4.  To memorise the 59, I remember that the last three digits form a sum: 4 + 5 = 9.
2307 A short block which stands on its own, before the next chain of blocks.
816406 A very nice chain...
286208 ...of three blocks...
998628 ...each with a repeated digit and two linking digits.
0 A little 0 all on its own!
34825 The 5 at the end of this block...
34211 ...combined with this block almost makes 543211, but with the 4 and 3 swapped.
70679 A repeated 7 to finish the 100 decimal places.  We’re done!

I plan to continue memorising further digits of Pi using this technique for some time... but I have no intention of trying to beat the current world record of 67,890 digits Smiley


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Comments Automatic country lookup for comments powered by MaxMind GeoLite Country

Jake
    22 Jun 2009
    United States
cool
annie
    11 Aug 2009
    United Kingdom
i've been tryin to learn it as well, so far i have memorised pi to 60 decimal places... wish me luck on my quest to 100 !
(Anonymous)
    11 Sep 2009
    Australia
Very useful!!!
miles
    29 Sep 2009
    United States
sorry ur advice did not help me cuz im at 200.
Jack
    4 Nov 2009
    United Kingdom
I saw youre page around mid-april and, thanks to you i learnt the first 100.
Now I can remember 470!
Chris
    8 Nov 2009
    United Kingdom
I have insomnia, and so spend my nights doing things like this to pass the time after all my mates have gone to bed.

I memorised Pi to 100 decimal places in about an hour and a half. ...no joke.

I use something called the 'Peg System' to turn numbers into words and then turn those words into a story, and thats my way of remembering it. For example:

14 = lorry
15 = laugh
92 = gun
92 = boffin

"there was a LORRY driver LAUGHING as he fired his GUN at the BOFFIN..."

Its a great way of remembering numbers, and once you get used to turning the numbers into words, you can easily remember long numbers.
(blank)
    15 Nov 2009
    Australia
very useful, thanks a lot, although i can allready remember pie to 263
mr. sad face
    20 Jan 2010
    United Kingdom
aww i thought i was doing okay and all cos i can remember up to 100 but there's so many people who now like more than 200 ..:( darn it.
tom
    26 Jan 2010
    United Kingdom
Chris - that really interests me but why would 92 be both gun and boffin?
Michael Hogg
    27 Jan 2010
Tom - I think Chris made a mistake. I think "boffin" should have been 65.

Then the sequence "lorry, laugh, gun, boffin" would represent 14 15 92 65 (the first eight decimal places of Pi).
Alix
    24 Feb 2010
    United Kingdom
"Pi is exactly three!"
Bob
    9 Mar 2010
    United Kingdom
Alix, are you quoting Kings? :P Verse 7:23 i believe...

anyway! I will try this, thanks :)
hey there
    11 Mar 2010
    United States
omg thanks so much I remembered 50 in a day


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Michael Hogg