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Special Numbers (Posted on 2004-04-03) |
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There exists a number oddity with 3 different 4-digit numbers. One is 9801, where (98 + 01)^2 = 9801. It also works with 3025: (30+25)^2 = 3025.
What is the other number?
What is the smallest 6-digit number that would work? (in other words, in a 6-digit number abcdef: abcdef=(abc+def)^2)
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Submitted by Victor Zapana
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Rating: 3.6667 (6 votes)
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Solution:
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(Hide)
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2025= (20+25)^2= 45^2
494209= (494+209)^2 = 703^2 |
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