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}, pages = {37--56}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {31}, number = {4}, year = {1981}, doi = {10.5802/aif.848}, mrnumber = {83e:10061}, zbl = {0472.10048}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.848/} }
TY - JOUR AU - Iwaniec, Henryk AU - Laborde, M. TI - $P_2$ in short intervals JO - Annales de l'Institut Fourier PY - 1981 SP - 37 EP - 56 VL - 31 IS - 4 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.848/ DO - 10.5802/aif.848 LA - en ID - AIF_1981__31_4_37_0 ER -
Iwaniec, Henryk; Laborde, M. $P_2$ in short intervals. Annales de l'Institut Fourier, Tome 31 (1981) no. 4, pp. 37-56. doi : 10.5802/aif.848. http://www.numdam.org/articles/10.5802/aif.848/
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