The man, who is unmarried and has no previous criminal record, contacted a 13 year-old girl through an internet forum, explained prosecutor Birgitta Fernlund.
"They then started some form of relationship that led up to this," she said to Arbetarbladet.
Their relationship culminated with the man having sex with the 13 year-old, and allegedly also having filmed several of the rapes.
The girl comes from a town in northern Norrland. This was the location of the first three rapes, the first one occurring this spring.
The last rape occurred some days ago in Gävle.
Several films were made of the girl, and the man also had her pose for sexual pictures several times this spring.
On top of the rape charges against him, the man is also suspected of child pornography crimes, and exploitation of a child for sexual posing.
The man admits to all charges except the rapes, which he feels should be considered sexual exploitation of a child.