Notice that Norton found 5 virus on my computer-is this a scam?

I was researching a topic and was caution to avoid questionable sites.  Suddenly, on my screen, there was a pop up box appearing to be from Norton, that I have 5 virus on the computer.  I thought it was probably phishing, so I used arrows to get out. I ran Norton in quick and full and nothing, it says my computer is fine.  My question- How did I get this on my screen when I when I have protection. Is my computer really OK? Thanks