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It might be better to ask a new question, as I am not very familiar with all the issues with health care, but you can try. Maybe I do know this one. Anyway, on F1 one of the visa requirements is to have health insurance.  For prior years you didnt file, as a nonresident alien you are required to file  at least form 8843 even with no income, so you might want to file that form for the first 5 years now.