2006 Cyprus MO/Lyceum/Problem 5

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Problem

If both integers $\alpha,\beta$ are bigger than 1 and satisfy $a^7=b^8$, then the minimum value of $\alpha+\beta$ is

A. $384$

B. $2$

C. $15$

D. $56$

E. $512$

Solution

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See also

2006 Cyprus MO, Lyceum (Problems)
Preceded by
Problem 4
Followed by
Problem 6
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