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- W2783459427 abstract "In 2002, F. Luca and G. Walsh solved the Diophantine equation in the title for all pairs (a,b) such that 1 4 with 2|n. Also, we solved (a^n-1)(b^n-1)=x^2 for the pairs (a,b)=(2,50),(4,49),(12,45),(13,76),(20,77),(28,49), and (45,100). Lastly, we show that when b is even, the equation (a^n-1)(b^(2n)a^n-1)=x^2 has no solutions n,x." @default.
- W2783459427 created "2018-01-26" @default.
- W2783459427 creator A5073600418 @default.
- W2783459427 date "2018-01-15" @default.
- W2783459427 modified "2023-10-16" @default.
- W2783459427 title "A Note On the Exponential Diophantine Equation (a^n-1)(b^n-1)=x^2" @default.
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- W2783459427 hasPublicationYear "2018" @default.
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