Queen Elizabeth II's 92-year-old husband was recovering from abdominal surgery in Scotland when Britain's future king was born here in July.
The Duke and Duchess of Cambridge flew with their seven-week-old baby to Aberdeen yesterday, from where they were then taken by car to Balmoral Castle where the Duke of Edinburgh is resting.
"This was an incredible moment for Philip. He has been desperate to meet his great grandson and having the family together is really special for him," a royal source told the Daily Mirror.
The report also revealed plans of clicking an unique four-generation royal family photo. For the first time in more than a century, three direct heirs to the throne will be in the same photo with the ruler - the 87-year-old Queen with son Prince Charles, 64, grandson Prince William and great-grandson Prince George.
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The last such picture was of Queen Victoria in 1894 with her son Edward VII, grandson George V and great-grandson Edward VIII.
Prince George is Queen and Prince Philip's third great grandchild and is Prince Charles' first grandchild.