The largest prime factor of X³ + 2

A. J. Irving. "The largest prime factor of X³ + 2." Acta Arithmetica 171.1 (2015): 67-80. <http://eudml.org/doc/279223>.

@article{A2015,
abstract = {Improving on a theorem of Heath-Brown, we show that if X is sufficiently large then a positive proportion of the values n³ + 2: n ∈ (X,2X] have a prime factor larger than $X^\{1+10^\{-52\}\}$.},
author = {A. J. Irving},
journal = {Acta Arithmetica},
keywords = {numbers with a large prime factor; polynomial values; sieves},
language = {eng},
number = {1},
pages = {67-80},
title = {The largest prime factor of X³ + 2},
url = {http://eudml.org/doc/279223},
volume = {171},
year = {2015},
}

TY - JOUR
AU - A. J. Irving
TI - The largest prime factor of X³ + 2
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 1
SP - 67
EP - 80
AB - Improving on a theorem of Heath-Brown, we show that if X is sufficiently large then a positive proportion of the values n³ + 2: n ∈ (X,2X] have a prime factor larger than $X^{1+10^{-52}}$.
LA - eng
KW - numbers with a large prime factor; polynomial values; sieves
UR - http://eudml.org/doc/279223
ER -