Prime Numbers

Prime numbers have always been at the heart of admiration and attention for mathematicians, both ancient and modern. But what makes them so captivating?

A prime number is one that has only two distinct divisors: one and itself. Sounds simple, right? But there’s much more behind this simplicity. Prime numbers are like the atoms of mathematics, the foundational milestones that make up the structure of all other numbers. There’s no defined pattern or magical formula to predict the appearance of the next prime number, and this unpredictability makes them even more intriguing.

Since the times of the ancient Greeks, prime numbers have piqued the curiosity of mathematicians. Eratosthenes, a renowned Greek mathematician, devised a method to identify them, known as the “Sieve of Eratosthenes”. Since then, the pursuit and study of prime numbers have never ceased.

But the allure of prime numbers isn’t limited to pure mathematics. They’ve also become essential in areas like cryptography, where the security of many of our digital communications relies on the unique properties of prime numbers.

In this blog category, we will explore the enchanting world of prime numbers, from their fundamental properties to their more advanced applications. Whether you’re a passionate mathematician or just a curious number lover, there will be something new and captivating to discover at every turn.

Writing ‘1’ a Thousand Times

Have you ever thought about what happens if you write the number ‘1’ a thousand times in a row? It turns out, you get a very special kind of number. Let’s talk about it!

The Unending Layers of 73939173

The unique property of 73939173 is its ability to remain prime even as we strip away its digits, one by one, from the right. Let’s explore this phenomenon.

A Prime of Repetition: 4567890123…4567

Imagine taking the number sequence “4567890123” and writing it down nineteen times in a row. Once you’ve done that, you append the number “4567” to the end. This seemingly arbitrary activity results in a number that spans a whopping 197 digits. But, the real magic of this number isn’t just its length or formation – it’s the fact that it’s prime!

Belphegor’s Prime

Belphegor’s Prime is 1000000000000066600000000000001. At first glance, this might just seem like a long number, but it holds an intriguing secret. Found by Harvey Dubner, this prime number has an uncanny design.