What this blog is about.

 I have never been the person who is naturally good at math. If anything, I have spent most of my life feeling like my mind was built for everything except math. That is exactly why this blog exists. It is a long experiment in seeing how far I can push my own brain into understanding this thing called mathematical beauty that everyone says exists.

My plan is simple. I will work through Silverman’s A Friendly Introduction to Number Theory and learn alongside ChatGPT. One gives me structure. The other lets me test ideas, check intuition, and ask the questions I never felt comfortable asking in a classroom. Together, they form something like a guided ascent into territory that used to intimidate me.

This blog will follow three parallel threads:

1. The mathematics itself, from basic congruences to more serious problems, as I move through Silverman.
2. The way my thinking changes, especially the slow shift from concrete reasoning to genuine abstraction.
3. The way my sketching skills change, as I work out creating shapes under constraint similar to what I hear number theory is about.

My sketches play an important role because I hear math is an art more than a science. By comparing the two, I can track not only what I learn but how my internal models evolve.

This will not be a tale of natural talent. It will be a record of effort, curiosity, and stubbornness. If progress happens, it will be because repetition slowly turns confusion into clarity. Over time, I hope these entries capture the moment-to-moment growth of a mind learning to think in a more abstract way.

If I can pull that off, this becomes more than a number theory diary. It becomes a story of reshaping how I think.

Note: I might use ChatGPT to write posts sometimes.

Also, here's a sketch I did.