Also, the eligibility criterion of not vaccinating people above certain age is NOT valid. I mean, sooner better. But if you are adult and there is any chance that you ever get a new sexual parter, get a vaccine.
90% people with get at least one HPV strain in their life. 10-30% people have at least one HPV strain right now.
(I recommend doing PCR test with strains genotyping. I do it periodically.)
Sure, our organism usually gets rid of such on 1-3 years, with no consequences. Yet, vaccine boosts your immunity.
Also, over 50% of cases of throat cancer are HPV-lead. So if you have male body, also vaccinate - both to protect others and yourself. Ideally for 9 strains, but HPV 16 and HPV 18 are by far the most important.
A few more links: https://pinboard.in/u:pmigdal/t:hpv