On the powerful part of $n^2+1$

Puchta, Jan-Christoph. "On the powerful part of $n^2+1$." Archivum Mathematicum 039.3 (2003): 187-189. <http://eudml.org/doc/249134>.

@article{Puchta2003,
abstract = {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.},
author = {Puchta, Jan-Christoph},
journal = {Archivum Mathematicum},
keywords = {powerfull integer},
language = {eng},
number = {3},
pages = {187-189},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the powerful part of $n^2+1$},
url = {http://eudml.org/doc/249134},
volume = {039},
year = {2003},
}

TY - JOUR
AU - Puchta, Jan-Christoph
TI - On the powerful part of $n^2+1$
JO - Archivum Mathematicum
PY - 2003
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 039
IS - 3
SP - 187
EP - 189
AB - 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.
LA - eng
KW - powerfull integer
UR - http://eudml.org/doc/249134
ER -