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2018 AIME II Problems/Problem 3

Revision as of 22:23, 23 March 2018 by P groudon (talk | contribs) (Created page with "==Problem== Find the sum of all positive integers <math>b < 1000</math> such that the base-<math>b</math> integer <math>36_{b}</math> is a perfect square and the base-<math>b...")
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Problem

Find the sum of all positive integers $b < 1000$ such that the base-$b$ integer $36_{b}$ is a perfect square and the base-$b$ integer $27_{b}$ is a perfect cube.

2018 AIME II (Problems • Answer Key • Resources)
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Problem 2 		Followed by
Problem 4
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All AIME Problems and Solutions

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