# Prime Crime 2

**Computer Science**Level 4

How many primes \(p\) less than \(10^{5}\) exist such that:

\(p\bmod {10^4},p\bmod {10^3},p\bmod {10^2}\) and \(p\bmod {10}\) are also prime?

As an explicit example, 2017 is one of them since 2017,17 and 7 are all prime.

**Hint:** The answer is a perfect square.