# How Mathematicians Get Results?

The sum of three angles of any triangle is 180 degrees. There are infinitely many prime numbers. We cannot find integers x, y and z such that x^n + y^n = z^n when n = 3 or any higher integer.

Results, results, results! Our mathematics textbooks are full of such results. Some seem to be easy, some are challenging. Did you ever think how mathematicians arrive at these kinds of results? How do they work? What do they think? Are these results of serious work or just a flash of thought? Let’s think over it!

Do you have a mathematical question to ask? Do you need assistance to get some concepts right? Do you want to learn more? Approach us with your queries and we would be happy to help!

## An Amazingly Simple Proof of Pythagoras Theorem

Pythagoras Theorem AKA Bodhayana Prameya is one of the important results in Mathematics. The statement goes like this: The square on the hypotenuse of a…

## A Unique Proof for the Infinitude of Primes

Ernst Eduard Kummer (29 January 1810 – 14 May 1893) was a German mathematician. Skilled in applied mathematics, Kummer trained German army officers in ballistics.…

## Three Basic Rules of Mathematics

Pierre de Fermat, a famous mathematician of the 17th century thought that the function N = 2^(2^k) + 1 always produced prime numbers. But a…

## How did Euclid prove that there are infinitely many primes?

Infinitude of primes. That was a challenge for ancient mathematicians. They suspected there must be hundreds of primes, but were unable to prove. Euclid took…

## The Square Root of 2: How to Prove It Is Not Rational?

Take a square of side length 1 unit. What is it’s diagonal’s length? Ancient Greeks faced a problem with this length. They could not write…