Geodesic
The largest prime factor of $X^3+2$
A. J. Irving1
1 Centre de recherches math\'ematiques Universit\'ede Montr\'eal Pavillon Andr\'e-Aisenstadt 2920 Chemin de la tour, room 5357 Montr\'eal (Qu\'ebec) H3T 1J4, Canada
Acta Arithmetica, Tome 171 (2015) no. 1, pp. 67-80.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Improving on a theorem of Heath-Brown, we show that if $X$ is sufficiently large then a positive proportion of the values $\{n^3+2:n\in (X,2X]\}$ have a prime factor larger than $X^{1+10^{-52}}$.
DOI : 10.4064/aa171-1-5
Keywords: improving theorem heath brown sufficiently large positive proportion values have prime factor larger

A. J. Irving 1

1 Centre de recherches math\'ematiques Universit\'ede Montr\'eal Pavillon Andr\'e-Aisenstadt 2920 Chemin de la tour, room 5357 Montr\'eal (Qu\'ebec) H3T 1J4, Canada 
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A. J. Irving. The largest prime factor of $X^3+2$. Acta Arithmetica, Tome 171 (2015) no. 1, pp. 67-80. doi : 10.4064/aa171-1-5. http://geodesic.mathdoc.fr/articles/10.4064/aa171-1-5/

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