It looks like there are only 35 in Iceland.[1] It's more popular in the continental Nordic countries, though.

[1]: https://www.nordicnames.de/wiki/Mohammed

That’s not to say that it’s not an accepted name. If your heritage/lineage/culture includes a name not on this list you can rather easily get an exception from these rules. Although, if not, you’re pretty much stuck with this list.

Never been a fan of the naming commitee. Sure, their reasoning may be to uphold Icelandic heritage, but honestly I always feel like that reasoning is a slippery slope into nationalism. But I do support having a naming committee to prevent asshole parents from naming their kid Kúkur or something.

https://en.wikipedia.org/wiki/Islam_in_Iceland ~1000

Or how clustered cultures are.

I never understood cultures that name everyone the same name.

Why even bother naming them? The whole purpose is to be able to identify someone.

In my culture we like to say all Americans are named John. I many John’s coming from the USA.

Mohammed is extremely popular in some countries but even in those territories there’s still a ton of other names.

Yeah, as an American, I only know one person named John. He happens to be a good friend, but I can’t think of anyone else with that name that I’ve met in recent time. Just because John or Mohammed are very popular names doesn’t mean you’re running into one each time you turn a corner.

see: Monty Python, Australia, everyone is Bruce