Pope Saint Stephen I served as Bishop of Rome from 12 May 254 to 2 August 257. So, only one, I think!
That was the first, but there have been at least 9:
There have been no popes named Kenneth.
There have been 6 popes named Sixtus.
There have been 13 popes named Leo.
There have been 13 popes named Innocent.
There have been no popes named Jude.
There have been 16 popes named Gregory. Gregory XVI reigned from 1831 to 1846.
There have been 8 popes called Urban.
There have been 6 popes who chose the name of Paul.
23
There have been 23 popes named John, Pope John XXIII was the last. He died in 1963.
There has never been a Pope Augustus.
There have been 15 popes named Benedict. Pope Benedict X does not count as he was an antipope.