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2011 Square Sum Start (Posted on 2011-12-31) Difficulty: 3 of 5
Determine the smallest positive integer, expressible as the sum of two nonzero perfect squares, whose base ten representation begins with 2011 (reading left to right). What is the next smallest integer with this property?

How about the smallest positive integer, expressible as the sum of two positive perfect cubes, whose base ten representation begins with 2011 (reading left to right)?

*** For an extra challenge, solve this puzzle without using a computer program.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Possible solutionbroll2012-01-04 22:45:10
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