A string of numbers is arranged in the following pattern:  $$8$$, $$8$$, $$3$$, $$3$$, $$2$$, $$5$$, $$3$$, $$3$$, $$2$$, $$5$$, $$3$$, $$3$$, $$2$$, $$5$$, $$\cdots $$  What is the sum of the first $41$ numbers? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems