>>12576848There are many theorems that you could find yourself, whereas many others needed cemturies of smart people thinking about them and were also motivated by problems in physics and other such disciplines. Trig was motivated by spherical astronomy, and calc was very much motivated by cosmology.
You can learn a lot of number theory by yourself, but you may need a push with some novel ideas that some people had which were a synthesis of knowledge from others yet before.
In general you will always do best to reach out to the community.
