Guest Posted October 18, 2009 Report Share Posted October 18, 2009 The square of the sum of four positive integers is equal to the number formed by writing these four numbers side by side. Each of the digits in this number is different. What is the maximum possible value of this number? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 18, 2009 Report Share Posted October 18, 2009 (edited) can't be a four digit number.. this is gonna be complicated Edited October 18, 2009 by 3ala2 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 19, 2009 Report Share Posted October 19, 2009 can't be a four digit number.. this is gonna be complicated No one trying.... Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted October 19, 2009 Report Share Posted October 19, 2009 (edited) No one trying.... I thought it was pretty straightforward, so I didn't bother. But, since no one has tried yet, I'll give it another look and probably post my answer by tomorrow sometime. Edited October 19, 2009 by superprismatic Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted October 19, 2009 Report Share Posted October 19, 2009 (edited) My knee-jerk response is (8+930+2+5)2=893025 I'll have to write a program to see if this is the maximum. Edited October 19, 2009 by superprismatic Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted October 19, 2009 Report Share Posted October 19, 2009 I wrote the program to exhaust over all numbers from 1234 to 9876543210 Not only is 893025=(8+930+2+5)2 the maximum such number, it is the only such number! Quote Link to comment Share on other sites More sharing options...
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The square of the sum of four positive integers is equal to the number formed by writing these four numbers side by side.
Each of the digits in this number is different.
What is the maximum possible value of this number?
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