Which of the following numbers cannot be written as the sum of $$4$$ consecutive whole numbers? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder 
$$497+498+499+500 =1994$$; $$509+510+511+512 = 2042$$; $$511+512+513+514=2050$$. (Divide by $$4$$, and "start"~near the quotient.) 