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Greatest Common Divisor (Posted on 2024-05-12)

When n=8, the expression ab(aⁿ-bⁿ) is divisible by 30 for all positive integers a and b, and 30 is the greatest such divisor.

Find a positive integer n such that the greatest common divisor of ab(aⁿ-bⁿ) for all positive integers a and b is n.

No Solution Yet Submitted by K Sengupta

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