Hello mathematics community.
I am interested in figuring out how to express every possible number within the shortest character length using the least possible predictable "characters".
Please share your number system below with the number of predictable parts/radicals/expressions, how to use it, and an explanation to how much it can grow.
I'm going to leave this as a puzzle and a challenge for people to solve. I am interested if there are any new ideas within this field.
TL;DR and P.S. This is just something to see if there are any other systems to writing numbers rather than the base system and prime factorization. If there is anything inventive please tell.
Thanks, Aren