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1400
Square with Remainder One
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number theorymodular arithmeticdivisibilityperfect squares
Let NN be the smallest positive integer such that NN leaves a remainder of 11 when divided by each of 2,3,4,5,6,7,8,9,102, 3, 4, 5, 6, 7, 8, 9, 10, and NN is a perfect square. Find NN.

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