Throughout the world, Þórunn (Torunn 
, Þórunn 
, Thorunn ) is a rare female first name. The forename Þórunn is characteristic of Iceland, where it is quite a common female name, Norway, where it is quite a rare girly name, and Israel. Much less frequently, Þórunn is the last name as well as the forename.
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| Torunn | Sweden, Norway, Israel, United States, Denmark |
| Þórunn | Iceland, United States |
| Thorunn | Sweden, Iceland, Norway, United States, Denmark |
Þórunn is also a name for the fictitious and mythical characters: Torunn .
| þórunn ormsdóttir Icelandic abbess (b. 1350) |
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| þórunn jónsdóttir (b. 1511) |
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þórunn jónassen politician (b. 1850) |
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| þórunn jónsdóttir IS (b. 1816) |
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| þórunn gestsdóttir IS (b. 1872) |
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| þórunn m. þorbergsdóttir IS (b. 1884) |
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| þórunn bjarnadóttir IS (b. 1884) |
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þórunn magnea magnúsdóttir Icelandic actor, IS (b. 1945) |
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| þórunn ingvarsdóttir IS (b. 1888) |
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| þórunn björnsdóttir IS (b. 1895) |
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| þórunn gísladóttir IS (b. 1896) |
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| þórunn kristinsdóttir IS (b. 1896) |
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| þórunn elfa magnúsdóttir Icelandic writer, IS (b. 1910) |
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| þórunn gunnlaugsdóttir IS (b. 1903) |
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þórunn egilsdóttir Icelandic politician, IS (b. 1964) |
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Lilja, Bjarnadóttir, Garðarsdóttir, Guðlaugsdóttir, Grétarsdóttir, Gísladóttir, Traustadóttir, Einarsdóttir, Friðriksdóttir, Ingólfsdóttir, Þórðardóttir, Stefánsdóttir, Pétursdóttir, Ragnarsdóttir, Gunnarsdóttir, Guðmundsdóttir, Haraldsdóttir, Halldórsdóttir, Sigurðardóttir, Benediktsdóttir, Kristinsdóttir, Kristjánsdóttir, Björnsdóttir, Marinósdóttir, Þórisdóttir, Ómarsdóttir, Óðinsdóttir, Káradóttir, Pálmadóttir, Pálsdóttir, Jónsdóttir, Elíasdóttir, Egilsdóttir, Harðardóttir, Hauksdóttir, Helgadóttir, Þórarinsdóttir, Magnúsdóttir, Sveinsdóttir, Snorradóttir, Arnardóttir, Birgisdóttir, Bjarkadóttir, Guðnadóttir, Jónasdóttir, Árnadóttir, Óskarsdóttir, Ólafsdóttir, Sæmundsdóttir, and Valdimarsdóttir