[tex]\displaystyle\bf\\\overline{abc}=numar~prim\\\\\overline{abcabc}=1000\times\overline{abc}+\overline{abc}=1001\times\overline{abc}\\\\1001=7\times11\times13\\\\1001\times\overline{abc}=7\times11\times13\times\overline{abc}\\\\\implies~~\overline{abcabc}=7\times11\times13\times\overline{abc}\\\\\implies~~\overline{abcabc}~are~4~divizori~numere~prime.\\\\Acestia~ sunt:\\\\7=numar~prim\\\\11=numar~prim\\\\13=numar~prim\\\\\overline{abc}=numar~prim[/tex]
