I thought of number theory as the most interesting branch in maths. However, after some weeks spent among YouTube lectures, webinars and scratching the surface intricate concepts, my motivations has become a bit shaky.What I don’t understand is whether pure maths is something that I actually find worth pursuing, despite I deeply recognise the value…

I would have never expected a link between Fibonacci numbers and the Euclidean algorithm. Yet, Richard E. Borcherds presents us with such relationship in one of his lectures on YouTube, along with an introduction to the Cassini’s Identity. Firstly, a quick introduction to Fibonacci numbers, of which here follow their two main definitions. The recurrence…

The desire to find and work on an open problem doesn’t make sense until I lay a solid theoretical foundation. Therefore, I’ll try to study an undergraduate course of number theory, and immerse myself in masterworks like An Introduction to the Theory of Numbers and A Classical Introduction to Modern Number Theory. Planning this path…

I’d like to understand the progress made by current mathematicians in number theory. In parallel, there is a need to receive timely feedbacks to go off the beaten track too often, without even realising it. I’m going to touch base with various groups interested in number theory to receive help. Given that LaTeX doesn’t seem…

The understanding of the distribution of prime numbers has been one of the most important problems in mathematics for centuries. James Maynard became one of the field medallists this year, with discoveries regarding the gaps between very large primes (1, 2, 3). In this interview, he says that the Riemann Hypothesis is always in the…

I greatly enjoy number theory. However, I should find niche unsolved problems in maths for which big minds don’t have enough time to work on. This episode of the podcast The Joy of Why is regarding number theory, seems very important to my quest:How Do Mathematicians Know Their Proofs Are Correct?

In the coming days I’ll try to find unsolved problems in number theory that I find fascinating. Although I’ll hardly ever become a mathematicians, I want to see where this passion goes.

There must be fancier ways to publish a personal website, but I chose one that took me less than a quarter of hour. I think this might be the right way to start a new page in my life, where reasoning will be more important than displaying technical knowledge.