MathDB
2011 Spring LMT Individual Round Problem 18

Source:

September 11, 2023
number theory

Problem Statement

Let xx and yy be distinct positive integers below 1515. For any two distinct numbers a,ba, b from the set {2,x,y}\{2, x,y\}, ab+1ab + 1 is always a positive square. Find all possible values of the square xy+1xy + 1.
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