[tex]x=3*c _{1} + 2 ;c_{1} \neq 0 \\ x=5*c _{2} + 2;c_{2} \neq 0 \\ 3*c _{1} + 2=5*c _{2} + 2 \\ 3*c _{1}=5*c _{2} \\ (3;5)prime.intre.ele \\ c_{1}=5;c_{2}=3 \\ x=3*c _{1} + 2=3*5 + 2=15+2=17 \\ verificare:x=5*c _{2} + 2=5*3+2=15+2=17 \\ nr.cautat.este:x=17[/tex]
