The pattern​ 1, 8,​ 27, 64,​ 125, ... is a cubic pattern named because 1equals=1times•1times•1 or 1 cubed13​, 8equals=2times•2times•2 or 2 cubed23​, and so on. Use this pattern to complete parts ​(a) through ​(d) below. . What is the least​ 4-digit number greater than 1000 in this​ pattern?

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