[tex]\displaystyle\bf\\1\cdot2\cdot3\cdot...\cdot n=n!.\\numarul~de~forma~n!~este~prim~daca~si~numai~daca~n=2,~altfel,~n=1\implies n!=1,~iar\\daca~n>2,~atunci~n~va~fi~1\cdot2\cdot3\cdot...=compus.\\2!<2015 \Leftrightarrow 2 <2015~( evident ).\\P.S.~cam~ciudata~problema!!!\\daca~iti~cerea~doar~n!<2015,~abordam~astfel~:\\2015=2\cdot13\cdot31,~deci~factorii~din~n!~nu~trebuie~depaseasca~2\cdot13\cdot31.\\daca~n~este~7,~evident~7\cdot6!~depaseste~2015,~deci~n~poate~fi~2,~3~,...~,6.[/tex]
