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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the Diophantine equation $ 1+2\sp a=3\sp b5\sp c+2\sp d3\sp e5\sp f$


Author: Leo J. Alex
Journal: Math. Comp. 44 (1985), 267-278
MSC: Primary 11D61
MathSciNet review: 771050
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Abstract: In this paper the Diophantine equation $ 1 + {2^a} = {3^b}{5^c} + {2^d}{3^e}{5^f}$, where a, b, c, d, e and f are nonnegative integers, is solved. The related equations $ 1 + {3^a} = {2^b}{5^c} + {2^d}{3^e}{5^f}$ and $ 1 + {5^a} = {2^b}{3^c} + {2^d}{3^e}{5^f}$ are also solved. This work is related to and extends recent work of L. L. Foster, J. L. Brenner, and the author.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1985-0771050-0
PII: S 0025-5718(1985)0771050-0
Keywords: Exponential Diophantine equation
Article copyright: © Copyright 1985 American Mathematical Society