Mahler's 3/2 problem that no real number x has the property that the fractional parts of x(3/2)^n are less than 1/2 for all positive…
Mahler's 3/2 problem that no real number x has the property that the fractional parts of x(3/2)^n are less than 1/2 for all positive integers n.
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Source: List of unsolved problems in mathematics (CC BY-SA 4.0)