Three positive consecutive integers are raised to the first, second and third power respectively and then added. The sum so obtained is perfect square whose square root is equal to the total of the three original integers. Which of the following best describes the minimum, say m, of these three integers?
A. 1≤m≤3
B.4≤m≤6
C.7≤m≤9
D.10≤m≤12
E.3≤m≤15
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B. BECAUSE IT A PERFECT INTEGER
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