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On a conjecture of Erdos and Stewart |
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| Authors: | Florian Luca. |
| Affiliation: | Mathematical Institute, Czech Academy of Sciences, u Zitná 25, 115 67 Praha 1, Czech Republic |
| Abstract: | For any |
| Keywords: | $p$-adic linear forms in two logarithms |
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, let 
be the 
th prime number. In this paper, we confirm a conjecture of Erdos and Stewart concerning all the solutions of the diophantine equation 
, when 
.