Five consecutive positive integers have the property that the sum of the second, third and fourth is a perfect square, while the sum of all five is a perfect cube. If m is the third of these five integers, then the minimum possible value of m satisfies
Answer Choices
A. m\le200
B. 200<m\le400
C. 400<m\le600
D. 600<m\le800
E. m>800