2

Part of 2003 Junior Tuymaada Olympiad

Problems(1)

3x+1 and 6x-2 are perfect squares while 6x^2 -1 is prime

Source: Tuymaada Junior 2003 p2

Find all natural

x

3x+1

6x-2

are perfect squares, and the number

6x^2-1

number theoryprimePerfect SquaresPerfect Square