Skype was a started in Sweden, by a Swede and a Dane. They then however set up a dev office in Estonia where the initial client was developed and set up their headquarters in Luxembourg, I'm assuming for tax reasons. They have however always had offices in Stockholm. That being said Microsoft has announced that they're closing the Stockholm Skype office to consolidate the development to Estonia.
Skype is Estonian.
https://www.microsoft.com/en-us/stories/skype/skype-chapter-...