P 2 in short intervals
Annales de l'Institut Fourier, Tome 31 (1981) no. 4, pp. 37-56.

On démontre que l’intervalle [x,x+x 0,45 ] contient un entier ayant au plus deux facteurs premiers dès que x est un nombre réel suffisamment grand.

For any sufficiently large real number x, the interval [x,x+x 0,45 ] contains at least one integer having at most two prime factors .

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     title = {$P_2$ in short intervals},
     journal = {Annales de l'Institut Fourier},
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     publisher = {Institut Fourier},
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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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