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How to say "a not so important small question" concisely?
For example, if I am studying math, and there's a terminology that looks wierd. Its nomenclature gradually becomes a preoccupation to me. I just want to know the reason of this name. However, this has nothing to do with my serious study of math. Hence, it is "a small and not so important" yet curious question to me.
A single noun for this would be minutia (plural: minutiae). It's of Latin origin, and is used to describe trivial details (as Dipak suggests, trivial is a good adjective to use here) or minor details. None of these three terms explicitly refers to questions, but I would say that they sound natural in this instance.
I have experienced what you describe many times, especially when studying! A concise way to describe it would be "getting bogged down in(/with) the details". The phrase implies that the details are relatively minor/trivial, because they are preventing you from achieving something more important, but you could say "I'm trying to study this problem, but I keep getting bogged down with minutiae"
You can precede your question with this:
I'm curious, {question}?
When you say that you are curious, it removes the requirement for relevance to the current topic.
It is often said as a way of side-tracking for a short moment to clarify a trivial detail; in order to clear the mind of 'preoccupation' as you say.
I believe the answer your are seeking is,
to ask a trivial question
Trivial means there is a simple obvious answer. A good word with which to preface the question would be "incidentally". You could describe the question as "incidental".
A single noun for this might be curiosum: A possibly unimportant point of interest.
