Three Gears are Possible
Henry Segerman (mathematician and 3D printing guru) discusses how to make three gears work together.
Skew dice: https://youtu.be/uAnCL3vhVIs
Check Henry's book about 3D printing math: http://amzn.to/2cWhY3R
Prime Numbers Playlist: http://bit.ly/primevids
Prime Machine: https://youtu.be/8UqCyepX3AI
You can buy the gears from Henry at Shapeways: http://bit.ly/HenryGears