[Ethan (EO)]

Originally Posted by ATH

2. was proven by James Maynard: https://arxiv.org/abs/1604.01041

Yes, there are infinitely many primes without 9 or 7 or any single digit removed.

Is anything known about more than one single digit removed? What's the largest set of digits base-10 such that there at least (choose your own bound here) primes containing none of those digits?