> this concept of a 'widely digitally delicate prime' is that you can take such a prime, prepend it with any sequence, and receive a prime in return. This make

> this concept of a 'widely digitally delicate prime' is that you can take such a prime, prepend it with any sequence, and receive a prime in return. This makes no sense. Let X be a number that satisfies your condition and consider the number XX formed prepending X to itself. You're asserting that XX is prime, but it is obviously composite, because it is divisible by X (just like say 2929 is 29*101).