1,000^2 + 1,001^2 +1,002^2 + 1,003^2 =	Choices:
A) 6,030,053
B) 6,030,054
C) 6,030,055
D) 6,030,056
E) 6,012,012
Interesting problem.   I think key is to notice that all the given answer choices differs in last two digits. Therefore, our entire focus should be to figure out how the given terms contribute to last two digits of total.   1000^2 -&gt; 00   1001^1 -&gt; 01   .   .   1005^3 -&gt; 14   Total -&gt; *55   Answer 6,012,012.
<result>E</result>
1,000^2 + 1,001^2 +1,002^2 + 1,003^2 =