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Cubic Equation (Posted on 2013-06-09) Difficulty: 4 of 5
Determine all triplets (a,b,c) of nonzero integers satisfying:
987654321*a + 123456789*b + c = (a + b + c)3

Prove that there are no others.

No Solution Yet Submitted by K Sengupta    
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Some Thoughts A second all-positive solution (spoilers) | Comment 3 of 13 |

Recapping the first solution and adding the second:

  a     b     c          lhs = rhs    
450  4500  5050        1000000000000
7350  6000  6650        8000000000000

The program is currently up to somewhere between 21000 and 22000 for the total of a+b+c and still working on it.

  Posted by Charlie on 2013-06-09 23:38:19
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