There is a very famous theorem which says that there are infinitely many prime numbers. For people who are new to this, a prime number is a number that doesn't have any divisors except for 1 and itself. For example, 11 is a prime number because it doesn't have any divisors apart from 1 and … Continue reading How Do We Know That There Are Infinitely Many Prime Numbers?
Tag: Infinity
What Is Zeta Function Regularization?
There is a popular mathematical result which says that the sum of all natural numbers is -1/12. I have discussed it in detail here. This looks very unintuitive to a first time observer. In fact, most people would say that this is some kind of mathematical trickery. How can a bunch of positive numbers sum … Continue reading What Is Zeta Function Regularization?
What Is A Singularity?
You must have heard the term "singularity" being used in various contexts. We see it in mathematics, physics, circuit design, mechanics, fluid dynamics, etc. The word "singular" means something that is extraordinary, unique, and strange. When we talk about singularity in mathematics, we usually refer to the uniqueness of mathematical objects. In particular, singularities refer … Continue reading What Is A Singularity?
What Do You Know About Infinity?
What do you think of the term "infinity"? In layman's terms, infinity is something that has no end, something that is bigger than all the things we know. This is what most people think! Many people who have not seen advanced mathematics do not know about the fact that there are many different types of … Continue reading What Do You Know About Infinity?
Perpetual Enigma 