Geodesic
Perfect powers with all equal digits but one
Journal of integer sequences, Tome 8 (2005) no. 5.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, among other results, we show that for any fixed integer $l >= 3$, there are only finitely many perfect $l$-th powers all of whose digits are equal but one, except for the trivial families $10^{\ln }$ when $l >= 3$ and 8 . $10^{3n}$ if $l = 3$.
Classification : 11D75, 11J75
Mots-clés : perfect powers, digits 
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     author = {Kihel, Omar and Luca, Florian},
     title = {Perfect powers with all equal digits but one},
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     number = {5},
     year = {2005},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/JIS_2005__8_5_a3/}
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Kihel, Omar; Luca, Florian. Perfect powers with all equal digits but one. Journal of integer sequences, Tome 8 (2005) no. 5. https://geodesic-test.mathdoc.fr/item/JIS_2005__8_5_a3/