$$\left( 1+100 \right)\times 34\div 2=1717$$． 
What is the sum of the numbers that range from $$1$$ to $$100$$ when divide by $$3$$ give you a remainder of $$1$$ ? 
Options:
1. $$1700$$ 
2. $$1716$$ 
3. $$1717$$ 