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2011 Square Sum End (Posted on 2012-01-14) Difficulty: 3 of 5
Determine the smallest positive integer, expressible as the sum of two nonzero perfect squares, whose base nine representation ends with 2011 (reading left to right). What are the next two smallest base nine positive integers with this property?

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

No Solution Yet Submitted by K Sengupta    
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Solution I think the answer maybe... Comment 1 of 1

The smallest positive integer that is expressible under the given conditions is:
2771210 = 420119 = 1362 + 962

With the next two smallest being:
520119 = 3427310 = 1832 + 282
and
620119 = 4083410 = 1972 + 452 = 1952 + 532


  Posted by Dej Mar on 2012-01-15 04:49:22
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