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No need to panic about visas - Russians can stay in Kyrgyzstan visa-free for up to 60 days. You just need a foreign passport valid for at least 6 months and to go through standard border control. If you're planning to stay longer or need special permits (work visa, residence permit), then you'll need to apply for documents through the diplomatic mission.
Russian citizens don't need a visa to enter Kyrgyzstan - you can go in with just your passport for up to 60 days. The only thing to keep in mind is that your passport needs to be valid, and it's better to check the current information on the embassy website beforehand, since the rules sometimes change. Overall, Kyrgyzstan is pretty welcoming to tourists from Russia in that regard.
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