MathDB

x^1919, x^1960 and x^2001

Source: South Africa 2001

October 1, 2005

number theory solvednumber theory

Problem Statement

For a certain real number

x

, the differences between

x^{1919}

,

x^{1960}

and

x^{2001}

are all integers. Prove that

x

is an integer.

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