Monthly Archives: March 2017

Fundamental Theorem of Arithmetic

Posted on March 13, 2017 by Sumant Sumant

The fundamental theorem of Arithmetic is also known as Unique fatorization theorem. To prove this we require two steps. Let be the first number that can be factored into primes in more than one way. In other words we assume … Continue reading →

Posted in Famous Problem, Proof, Proof by Contradiction, Real Analysis | Leave a comment

Convergence of harmonic series without number 9

Posted on March 7, 2017 by Sumant Sumant

There are tons of proofs that harmonic series diverges. What if we have a harmonic series where we get rid of all the numbers which contains , will it still converge. For single digit there are numbers which do not … Continue reading →

Posted in Series | Leave a comment