Abstract
Il existe une infinité d’entiers n tels que le plus grand facteur premier de n 2 +1 soit au moins n 6/5 . La démonstration de ce résultat combine la méthode de Hooley – pour ramener le problème à l’évaluation de sommes de Kloosterman – et la majoration de sommes de Kloosterman en moyenne obtenue par les auteurs.
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