  Making use of covering systems and a theorem of D. Shiu, the first and second
authors showed that for every positive integer $k$, there exist $k$ consecutive
widely digitally delicate primes. They also noted that for every positive
integer $k$, there exist $k$ consecutive primes which are Brier numbers. We
show that for every positive integer $k$, there exist $k$ consecutive primes
that are both widely digitally delicate and Brier numbers.
