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Singular pair of numbers (Posted on 2008-11-03) Difficulty: 2 of 5
What peculiarity do the numbers 567 and 854 share that no other three-digit positive integer number has?

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Solution Unsure about uniqueness | Comment 1 of 3
The peculiarity with the munbers is that, when squared, the equation consists of all the digitis from 1-9 extacly once ...

SQUARE of 567 = 321489
SQUARE of 854 = 729316

... Which uses all the digits 1-9 exactly once.

But I am not sure if these 2 are the only numbers with the peculiarity.
  Posted by Syzygy on 2008-11-03 12:14:04
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