The Explanation Behind Divisibility by 2

One of the basic mathematics that we learn in middle school mathematics is divisibility. There are rules that are usually memorized. A number is divisible by 2 if it is even; a number is divisible by 3 if the sum of its digits is divisible by 3. In this series, we are going to discuss […]
Continue reading…

 

The Sum of Two Prime Numbers Greater than 2 is Even

In the previous posts, we have gone quite deep in delving and proving some complicated theorems. In this post, we go again the the basics. In this short proof, we show that the sum of two prime numbers, both greater than 2 is even. Theorem The sum of two primes, both greater than 2, is […]
Continue reading…

 

A Proof that Square Root of 2 Plus Square Root of 3 is Irrational

Introduction In the previous post, we have learned that is irrational.  In this post, we will use that theorem to show that is also irrational. This proof was explained by Ivan Niven in his book Numbers: Rational and Irrational. A common argument that might arise is that since is irrational and is irrational, then their […]
Continue reading…