Jan Mayen is an island between Greenland and Norway in the Arctic Ocean, administered by Norway. The island has 18 inhabitants, employed by the Norwegian Armed Forces or the Norwegian Institute of Meteorology.
This desolate, mountainous volcanic island was named after a Dutch whaling captain who supposedly discovered it in 1614 (though earlier claims have been reported). It was visited only occasionally by seal hunters and trappers over the following centuries, and the island came under Norwegian sovereignty in 1929. The long dormant Haakon VII Toppen/Beerenberg Volcano (2,277 meters) resumed activity in 1970; it is the northernmost active volcano on Earth.
Arctic maritime with frequent storms and persistent fog.
You are free to hike around the island, but not to camp. This means that the hiking range is limited.
Climbing the Beerenberg is worth the journey; it has the highest sea view in Nordic countries outside Greenland, if there is no fog, which there usually is. A climb is an expedition requiring experience and a high level of fitness.
However, since camping is forbidden, it is virtually impossible to climb the mountain legally, as the climb takes a lot of time. Getting permission is unlikely, but if you want to try, read jan-mayen.com. The midnight sun during summer time makes night hiking possible.
There is no economic activity on Jan Mayen. Jan Mayen is a Norwegian tax free zone.
As there are no shops or restaurants on the island; you will have to bring any provisions you will need yourself.
The harsh Arctic climate and occasional volcanic activity are the greatest hazards.