MathDB
1000N, 1000N+1, ..., 1000N+999 has no squares

Source: AIME II 2013, Problem 6

April 4, 2013
modular arithmeticAMCnumber theoryPerfect SquaresAIME

Problem Statement

Find the least positive integer NN such that the set of 10001000 consecutive integers beginning with 1000ā‹…N1000 \cdot N contains no square of an integer.
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