\BOOKMARK [1][-]{section.1}{Introduction}{}% 1
\BOOKMARK [1][-]{section.2}{Preliminary results and conjectures}{}% 2
\BOOKMARK [2][-]{subsection.2.1}{Friable numbers and the Dickman function}{section.2}% 3
\BOOKMARK [2][-]{subsection.2.2}{Estimates for the size of G\(x\)}{section.2}% 4
\BOOKMARK [2][-]{subsection.2.3}{The Bunyakovsky conjecture}{section.2}% 5
\BOOKMARK [1][-]{section.3}{On the infinitude of the sets F\(3,2\) and F\(4,2\)}{}% 6
\BOOKMARK [1][-]{section.4}{Searching for elements of E3,2}{}% 7
\BOOKMARK [1][-]{section.5}{Searching for elements of F\(2,,2\)}{}% 8
\BOOKMARK [1][-]{section.6}{Elements of E3,3}{}% 9
\BOOKMARK [1][-]{section.7}{The particular case E2,}{}% 10
\BOOKMARK [1][-]{section.8}{Consecutive polynomials generating elements of the sets Ek,}{}% 11
\BOOKMARK [1][-]{section.9}{Final remarks and heuristics}{}% 12
\BOOKMARK [1][-]{section.10}{Acknowledgment}{}% 13