Geodesic
Perfect powers with all equal digits but one
Journal of integer sequences, Tome 8 (2005) no. 5
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
Keywords: perfect powers, digits 
@article{JIS_2005__8_5_a3,
     author = {Kihel,  Omar and Luca,  Florian},
     title = {Perfect powers with all equal digits but one},
     journal = {Journal of integer sequences},
     year = {2005},
     volume = {8},
     number = {5},
     zbl = {1100.11014},
     language = {en},
     url = {http://geodesic.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. http://geodesic.mathdoc.fr/item/JIS_2005__8_5_a3/