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1

Part of 2004 Japan MO Finals

Problems(1)

Three numbers cannot be all squares

Source: 2004 Japan MO Finals P1

6/26/2022
Show that there is no positive integer nn such that 2n2−1,3n2−1,6n2−12n^2-1, 3n^2-1, 6n^2-1 are all perfect squares.
number theoryJapan