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The largest possible prime value resulting from the ninedigital
fraction equation (A/B)^{C} + (D/E)^{F} + (G/H)^{I}, where the letters A to I
represent any combination of the nine digits 1 through 9. Note that (6/3)^{4} +
(8/2)^{5} + (9/1)^{7} is the only distinct solution for 4784009. [De Geest]
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