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Delete the Profect Squares

Source: 2003 National High School Mathematics League, Exam One, Problem 1

March 16, 2020

Problem Statement

Delete all perfect squares in 1,2,3,1,2,3,\cdots, then the 2003rd number is (A)2046(B)2047(C)2048(D)2049\text{(A)}2046\qquad\text{(B)}2047\qquad\text{(C)}2048\qquad\text{(D)}2049