## Guest Post: An Interesting Property of Prime Numbers

*Although I have already discussed modulo division, I believe that this proof is beyond the reach of average high school students. To explain further, I made additional notes on Patrick’s proof **. I hope these explanations would be able to help students who want to delve on the proof. *

***

I’ve got a prime number trick for you today.

- Choose any prime number .
- Square it.
- Add 5.
- Divide by 8.

Having no idea which prime number you chose, I can tell you this:

The remainder of your result is 6. » Read more