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x^3 + y and x + y^3 are divisible by x^2 + y^2

Source:

May 11, 2020

number theorydividesdivisibleSum of Squares

Problem Statement

Find all pairs

(x, y)

of integers satisfying the following condition: each of the numbers

x^3 + y

and

x + y^3

is divisible by

x^2 + y^2

.
(S Zlobin)