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IMO Shortlist 1991 problem 16

1991 IMO shortlist
Find all positive integer solutions x, y, z of the equation 3^x + 4^y = 5^z.

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1968 IMO shortlist
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1970 IMO shortlist
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1972 IMO shortlist
0
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1976 IMO shortlist
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1988 IMO shortlist
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