The largest prime factor of
Volume 171 / 2015
Acta Arithmetica 171 (2015), 67-80
MSC: 11N32, 11N36.
DOI: 10.4064/aa171-1-5
Abstract
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}}.
