## Pairs of consecutive powerful numbers — Part 1

Almost all known pairs of consecutive powerful numbers have one of them a perfect square.

There is a known exception:

$12167 \; = \; 23^3$
$12168 \; = \; 2^3 \cdot 3^2 \cdot 13^2$

Can you find another pair?

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## About benvitalis

math grad - Interest: Number theory
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