A Norwegian prosecutor has asked a court in Oslo to sentence Marius Borg Høiby, the son of Crown Princess Mette-Marit, to seven years and seven months in prison.
Høiby faces 40 counts including the alleged sexual assault of four women, domestic violence and other offences.
Investigators say some of the alleged incidents happened while the women were asleep or unconscious.
He has denied the four rape charges but admitted to multiple driving violations, an aggravated drug offence, breaching a restraining order and partly admitted to threats and aggravated assault.
The case has stretched over seven weeks and is due to conclude on Thursday.
It has drawn intense public attention, with evidence presented in court including videos Høiby recorded himself and more than 800 electronic messages.
Lead prosecutor Sturla Henriksboe told the court Høiby should be judged on the crimes he is accused of, not his family background.
He argued the sentence sought is appropriate and that royal connections should neither increase nor reduce punishment.
Høiby has said the heavy media scrutiny has made him feel vilified and contributed to anxiety and clinical depression.
In court he denied being a monster and appealed for fair treatment.
The trial comes while Crown Princess Mette-Marit is managing serious health issues, including pulmonary fibrosis, and is expected to undergo a lung transplant.
Norwegian courts have barred the media from revealing information that could identify the four alleged victims.
There is also a prohibition on publishing photographs of Høiby entering or leaving the courthouse.
The closing arguments continue as the Oslo court prepares to deliver its verdict and sentence.