Generating π from 1,000 random numbers

Watch me calculate pi by rolling 1,000 random numbers on two d120 dice. All in the name of celebrating Pi Day 2017.

You can watch all 500 rolls of the dice!
https://www.youtube.com/watch?v=ESU4KdRLzu0

Here are some proofs that the probability of two random integers being coprime is 6/π².
http://www.cut-the-knot.org/m/Probability/TwoCoprime.shtml

Download the spreadsheet I make at the end.
https://www.dropbox.com/s/8qlhzt76y7ou0xf/putting-the-pi-in-coprime.xlsx?dl=0

You can buy d120 dice from Maths Gear.
https://mathsgear.co.uk/collections/dice/products/d120-dice

Here’s a nice summary of the Basel Problem from Plus Magazine.
https://plus.maths.org/content/basel-problem

While we’re talking about the Basel Problem: I cover it in my book. You know, just in case you were wondering.
https://mathsgear.co.uk/collections/books/products/signed-paperback-things-to-make-and-do-in-the-fourth-dimension


Support me on Patreon and help me make more videos like this.
https://www.patreon.com/standupmaths


CORRECTIONS
- At 12:28 I say that 63 is 3 × 31 when it is of course 3 × 21. Spotted by Nathan James.
- Let me know if you spot any more!

Music by Howard Carter
Design by Simon Wright

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
Maths book: http://makeanddo4D.com/
Nerdy maths toys: http://mathsgear.co.uk/