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.
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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