In $$1588$$, an Italian mathematician called Pietro Cataldi discovered that $$2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2\times2-1$$ (in short, $$2^{19} -1$$) is a prime number. When this number is divided by $$5$$, what is the remainder? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder 