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Advice on changing topic for thesis problem

I am starting to find my thesis problem not meaningful nor interesting and too technical. As I learn more mathematics I am finding myself attracted to other topics and only started on my intital problem with my advisor because I could understand it at first.

My problem is a very "good" one, fulfuling many criteria mentioned by mathematicians:

  • It is pitched at exactly the right difficult.
  • It involves learning a big machine
  • It solution leads to further work and questions.

Should I:

  1. Find a new problem? (I'm sure I can't think of such a "good" problem as the one given to me by my advisor.)
  2. Stick with the same problem and only do new problems after graduation?
  3. Anything else?