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 […]
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Clock Arithmetic and Modular Systems Part 2

This is the second part of the Introduction to Modular Systems Series. Please read the first part before proceeding. Last Monday, we have learned a number system that uses numbers on the 12-hour analog clock. We have performed addition using these numbers and discovered that in that system, 12 behaves like 0. We have also observed […]
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Problem Set 2

PROBLEMS 1.) Find a linear function such that and . 2.) Solve for : 3.) Prove that the product of consecutive numbers is always divisible by . 4.) Prove that if is prime, and are integers, and , then . SOLUTIONS AND PROOFS Post Date: October 20, 2009 1. Solution: This is just the same as […]
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