Nearly 1,400 people have been driving with only a learner permit for over 26 years.
According to freedom of information figures, a total of 21,000 have had one for over 11 years.
Figures also show that almost 2,500 learner drivers got penalty points last year, because they weren't accompanied by a fully qualified driver.
While over 4,600 people have been driving with only a learner permit for at least 21 years.
You can't apply for a third or subsequent learner permit unless you've recently done a driving test, or have one booked.
Brian Farrell, from the Road Safety Authority, says the new figures are concerning.
"It's absolutely far from an ideal situation - we would encourage all those people on those learner permits to come forward and take their driving tests."
"That is a challenge at the money for those restrictions in place but really and truly these people should be coming forward for a drivers test."
