# Consecutive primes which are widely digitally delicate

@inproceedings{Filaseta2021ConsecutivePW, title={Consecutive primes which are widely digitally delicate}, author={Michael Filaseta and Jacob Juillerat}, year={2021} }

We show that for every positive integer k, there exist k consecutive primes having the property that if any digit of any one of the primes, including any of the infinitely many leading zero digits, is changed, then that prime becomes composite.

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## 2 Citations

### Consecutive primes which are widely digitally delicate and Brier numbers

- Mathematics
- 2022

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…

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