What number fits these conditions?
- First digit is a perfect square
- Second digit is a perfect square
- Third digit is a perfect square
- Number formed by first and second digits in order is perfect square
- Number formed by third and fourth digits in order is perfect square
- Number formed by fifth and sixth digits in order is perfect square
- Number formed by last three digits in order is perfect square
All digits can be assumed non-zero and unique.
Comments:
Hayk - 9 years, 10 months ago
491625!
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David - 8 years, 12 months ago
As much fun as an alternative answer would have been, it is sufficient to state that since 3, 7, and 8 do not show up in the ones digit of any of the squares in the range [1,9], the conditions are sufficient to have a unique answer.
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