I would suggest to start with googling for something like "journals specializing in number theory" to compile a list of some ~15 major number-theoretic journals. The next step is to cross out too ambitious journals, too "lightweight" journals, journals specializing in an area alien to yours etc; your professors should be able to help you with this. When you are left with some half-a-dozen of options, think of the papers you refer to: were they were published? Remember, that you do not need to reduce your list to just one title: when you are left with some three journals or so, you can just pick one of them at random!
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