The first two explosions were heard in Gothenburg: the first at around 1:00 a.m. in the Olskroken area and the second 10 minutes later in Kortedal.
There are no reports of injuries, only damage to property, the newspaper added.
The police, in turn, said that they had already begun a preliminary investigation and a study of a possible connection among the incidents.
Then, at 2 am, powerful explosions occurred in Norsborg and Nyköping.
Authorities reported that no one was hurt and only the window panes of residential buildings were damaged.
On August 17, Sweden raised the terrorist threat level to the penultimate level due to the ongoing Islamophobic crisis.
Demonstrations consisting of burning the Koran have taken place in the country during this summer, causing a strongly negative reaction from the population and authorities in Muslim countries.
Following the desecration of the Muslim holy book, hate speech cases were initiated against organizers.
jg/abo/mem/amp