I couldn't find any information on an Icelandic Prime Minister by the name of Sigmundur David Gunnlaugsson. However, I found a politician named Sigmundur Davíð Gunnlaugsson who served as the Prime Minister of Iceland from 2013 to 2016. He has been known for his interest in classical music and art. Note: The correct name is actually one word Sigmundur instead of two words