Geodesic
On the powerful part of $n\sp 2+1$
Archivum mathematicum, Tome 39 (2003) no. 3, pp. 187-189.

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We show that $n^2+1$ is powerfull for $O(x^{2/5+\epsilon })$ integers $n\le x$ at most, thus answering a question of P. Ribenboim.
Classification : 11D09, 11D25, 11N25 
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Puchta, Jan-Christoph. On the powerful part of $n\sp 2+1$. Archivum mathematicum, Tome 39 (2003) no. 3, pp. 187-189. http://geodesic.mathdoc.fr/item/ARM_2003__39_3_a3/