5, 3, 2, Go!

\[ \large { {2017 \, 2003 \, 2001 \ldots 7 \, 5 \, 3 \, 2} } \]

The above expression shows the concatenation of the prime numbers less than or equal to 2017 written backwards.

Let \(L \) and \(S\) denote the number of digits and the sum of digits, respectively, of this large number. What can you say about the number obtained from the expression given below? \[ \dfrac1{10} \left[ (S-L) \pmod{2016} \right] \]


This problem is a part of set Prime Crimes via Computer Science
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