Question

Find the maximum r such that: the set {1, 2, ..., r}

can be partitioned into n classes such that no class

contains integers x, y, z with xy = z.

(On Schur's Problem)

Same question when x

y = z.

Same question when no integer can be the sum of another

integer of its class. (A generalization of Schur's

Problem.)

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Answer 1

Answer:

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