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Sweden's Princess Madeleine gave birth to the baby boy on Monday afternoon, just two days after her brother Prince Carl Philip married Sofia Hellqvist in a busy week for the royal family.
“I am tired but very happy,” her British-born American businessman husband Chris O'Neill told reporters on Tuesday morning. The dad-of-two smiled and gave a thumbs-up as he left Danderyd Hospital north of Stockholm just before 8am.
READ MORE: Swedish military salutes new royal baby
A few hours later, O'Neill returned accompanied by the couple's eldest daughter, Princess Leonore, who was set to meet her new brother for the first time.
“Leonore thought he was a doll,” he said later, but added the siblings' first meeting had gone well.
Sweden's newest royal baby. Photo: The Royal Court
The parents are set to officially name their son, who is sixth in line to the Swedish throne, on Wednesday, before parliament takes its summer break.
Awaiting the formal announcement, The Local got people tweeting the #choosechuck and #backbjörn hashtags after suggesting the new baby could be named Chuck to honour O'Neill's American heritage or Björn after the member of Sweden's most famous pop group ever, Abba.
It's my cousin's nickname, so I say #ChooseChuck http://t.co/0Ulr0D22g8
— Vern Ferguson (@AfS_Vern) June 16, 2015
READ ALSO: Seven names fit for a Swedish prince
According to Sweden's Aftonbladet, Eugen is the most popular name being bet on at Swedish bookmakers, with Oscar, Wilhelm and Paul also popular.
But the tabloid suggests its readers would like to see the new prince called Zlatan (after Sweden's top goal scorer in history, Zlatan Ibrahimovic).
However Swedish historian and author Herman Lindqvist told the newspaper: “I think the chance is very small. I do not think Chris O'Neill knows who Zlatan is, he probably thinks it's a drink.”
The couple's first child, Princess Leonore, was born in New York in 2014.