Mathematics is a universal language, a mosaic of numbers, shapes, and concepts that define the world around us.

For millennia, it has evolved as a fundamental tool for understanding the universe, from its most basic laws to the most complex. Every equation tells a story, every theorem unveils a mystery. The allure of mathematics lies in its ability to show order in chaos, to offer solutions to seemingly insoluble problems, and to reveal the hidden beauty behind everyday phenomena. It is both art and science, a bridge between the tangible and the abstract, and for many, it represents an endless journey in search of ever-new truths.

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.

Euler’s Number “e”: A Mathematical Marvel

The origins of this fascinating number trace back to 1683 when the Swiss mathematician Jacob Bernoulli stumbled upon it. While Bernoulli wasn’t specifically searching for a new mathematical constant, he inadvertently discovered the first approximation of e during his studies on continuous compound interest. This makes the story of e particularly intriguing; it wasn’t the product of abstract mathematical thought, but rather a result of tangible financial studies.

The Millennium Prize Problems: Where We Are Now

In 2000, the Clay Mathematics Institute listed seven big math problems and offered a million dollars for each solution. These are called the Millennium Prize Problems. 23 years have passed, and we’re checking in to see how far we’ve come.