31 is prime.
331 is prime.
3,331 is prime.
33,331 is prime.
333,331 is prime.
3,333,331 is prime.
33,333,331 is prime.

Is 333,333,333,333,333,331 prime?

Yes, but 333,333,331 = 17ยท19,607,843.

Source: Strong law of small numbers by Richard K. Guy