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NT with perfect squares

Source: Russian TST 2015, Day 10 P3 (Groups A & B)

April 21, 2023
number theoryPerfect Squares

Problem Statement

Find all integers kk{} for which there are infinitely many triples of integers (a,b,c)(a,b,c) such that (a2−k)(b2−k)=c2−k.(a^2-k)(b^2-k)=c^2-k.
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