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Not as long but similarly lost at sea, crossing the Atlantic in a life raft: "Adrift: Seventy-six Days Lost at Sea" by Steven Callahan.

If you love survival stories, checkout “Deep Survival “ that analyzes why some people survive and others don’t. Brilliant

How interesting, there is another movie called "438 days", although in Swedish, which is about two Swedish journalists imprisoned in Ethiopia for espionage. https://sv.wikipedia.org/wiki/438_dagar (Swedish)