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.

中文翻译：

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带限制位数的素数和多项式

令$q$ 是一个足够大的整数，$a_0\in \{0,\dots ,q-1\}$。我们展示了在其基础 $q$ 展开中没有数字 $a_0$ 的素数的无限多。对于多项式的值（满足必要的局部条件）以及如果排除多个数字，也可以获得类似的结果。