Sums of Powers in Alternate Number Bases

Here
is a well-known problem that has been around for a while: a^1 +
b^2 + c^3 + d^4 = abcd. There are several solutions to this in denary, such as: a = 2, b = 4, c = 2, d = 7. Find all solutions in the number bases less than 10. |

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Last Updated: January 17th, 2010.