what do you think?

Answer : -11, 11

Why donâ€™t you try to manipulate the equation by taking the common term.

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How do we get -11 as an answer?

guess you take 3^522 common and get the following expression:

3^522 (3^3-1) = 3^522 (26) **= 3^522 * 13 * 2** ; hence the prime factors are **3,** **13** and **2**. The possible difference between the smallest (2) and largest (13) prime factors are 2-13 & 13-2 = **-11, 11.**

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2-13 is a difference between smallest and largest prime number (not the difference between largest and smallest), ainâ€™t it?

yes. however note that the question is asking â€śwhich of the following **could be** the difference between A and Bâ€ť its not asking difference from A to B or difference from B to A (where there can be only one answer). Rather it is asking for both as per official answer right? I guess this is the tricky part of the question, I would have not thought twice about -11 either.

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yeahâ€¦ got itâ€¦ thanks.

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