The Duke and Duchess of Cambridge welcomed their third baby together on Monday, but despite them introducing the tot to the world just a couple of hours later, the little Prince still has no name.
Alexander said: "Have you thought of the name Alexander for him?" to which William replied: "Well it's amusing you should say that".
Britain's Prince William and Kate Middleton smile as they hold their newborn baby son as they leave the Lindo wing at St Mary's Hospital.
Unlike with first-born baby George in 2013, Prince William secured the capsule in the couple's Range Rover with the confidence of a dad who has done it many times before, smiling at photographers. Keeping the sex of the baby a surprise until the delivery day, the Palace revealed that Kate had given birth to a healthy baby boy, with both mom and baby doing well.More news: Cayetano apologizes to Kuwait over PH embassy's rescue ops
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The Duchess has taken time off after giving birth to her previous two children.
Prince William told Downer that he thinks he has a strong name, but he did not exactly confirm anything.
Kensington Palace said the name would be announced in "due course" but the current favourite at the bookies is Arthur, followed by James, Philip and Albert.
The duke and duchess of Cambridge have spent their first day at home as a family of five.