MathDB
Easy divisibility

Source: ARO Regional stage 2023 9.4~10.4

February 16, 2023
number theoryRussia

Problem Statement

Let a,b,ca, b, c be positive integers such that no number divides some other number. If ab−b+1∣abc+1ab-b+1 \mid abc+1, prove that c≥bc \geq b.
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