Geodesic
Terms of Lucas sequences having a large smooth divisor
Canadian mathematical bulletin, Tome 66 (2023) no. 1, pp. 225-231

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DOI

We show that the $Kn$–smooth part of $a^n-1$ for an integer $a>1$ is $a^{o(n)}$ for most positive integers n.
DOI : 10.4153/S0008439522000248
Mots-clés : Linearly recurrent sequences, Lucas sequences, ABC conjecture 
Balaji, Nikhil; Luca, Florian. Terms of Lucas sequences having a large smooth divisor. Canadian mathematical bulletin, Tome 66 (2023) no. 1, pp. 225-231. doi: 10.4153/S0008439522000248
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     title = {Terms of {Lucas} sequences having a large smooth divisor},
     journal = {Canadian mathematical bulletin},
     pages = {225--231},
     year = {2023},
     volume = {66},
     number = {1},
     doi = {10.4153/S0008439522000248},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439522000248/}
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