Actually the whole idea was brainstormed from day one together with 4 Estonian founding engineers. Those 4 together with Janus and Niklas had worked together already for years, first on Tele2 Everyday portals, then Kazaa and Joltid.
It's a common misconception from both sides. Ask who developed Skype from a random Dane or Swede on the street, and they will tell you that it was made by either Danish/Swedish programmers. Approach an Estonian with a question who actually worked for the funding, marketing etc., and they will probably answer it was the Estonians.
Corrective upvote. In the words of Wikipedia, "Skype was founded in 2003 by Janus Friis from Denmark and Niklas Zennström from Sweden" [1]. It would seem the developers were Estonian, but that doesn't make you wrong about its founders. In fact, that makes the article wrong when it says "Skype ... was run by Estonians, until recently was sold to Microsoft [sic]."