Primes and Polynomials With Restricted Digits. (5th April 2021) - Maynard, James
Abstract: Let $q$ be a sufficiently large integer, and $a_0\in \{0, \dots, q-1\}$ . We show there are infinitely many prime numbers that do not have the digit $a_0$ in their base $q$ expansion. Similar results are obtained for values of a polynomial (satisfying the necessary local conditions) and if multiple digits are excluded.