Abstract
The diagonal case of the Nagell-Ljunggren equation is
and p an odd prime. The only known nontrivial solution is
and it is conjectured to be also the only such solution. However, it is not even proved that (1) has only finitely many solution.
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To W. Schmidt on the occasion of his 70th birthday
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Mihăilescu, P. (2008). Class Number Conditions for the Diagonal Case of the Equation of Nagell and Ljunggren. In: Schlickewei, H.P., Schmidt, K., Tichy, R.F. (eds) Diophantine Approximation. Developments in Mathematics, vol 16. Springer, Vienna. https://doi.org/10.1007/978-3-211-74280-8_15
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DOI: https://doi.org/10.1007/978-3-211-74280-8_15
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