olymmath

AIME 1989 Problem 9

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One of Euler's conjectures was disproved in the 1960s by three American mathematicians when they showed there was a positive integer such that 1335+1105+845+275=n5.133^5+110^5+84^5+27^5=n^{5}. Find the value of nn.

Dataset text AIME 1983 to 2026. Quoted with source.

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