On démontre que l’intervalle contient un entier ayant au plus deux facteurs premiers dès que est un nombre réel suffisamment grand.
For any sufficiently large real number , the interval contains at least one integer having at most two prime factors .
@article{AIF_1981__31_4_37_0,
author = {Iwaniec, Henryk and Laborde, M.},
title = {$P\_2$ in short intervals},
journal = {Annales de l'Institut Fourier},
volume = {31},
year = {1981},
pages = {37-56},
doi = {10.5802/aif.848},
mrnumber = {83e:10061},
zbl = {0472.10048},
language = {en},
url = {http://dml.mathdoc.fr/item/AIF_1981__31_4_37_0}
}
Iwaniec, Henryk; Laborde, M. $P_2$ in short intervals. Annales de l'Institut Fourier, Tome 31 (1981) pp. 37-56. doi : 10.5802/aif.848. http://gdmltest.u-ga.fr/item/AIF_1981__31_4_37_0/
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