PARIS, Jan 15 - The French central bank said on Thursday industrial activity picked up slightly in December and that production should increase in the coming months. The Bank of France published a report which raised growth predictions for the fourth quarter of 2003 and the first quarter of 2004 from those reported previously. The bank's December business survey forecast growth of 0.6 percent in the final quarter of 2003, up from 0.5 percent previously forecast. It saw growth of 0.7 percent in the first quarter of 2004, up from 0.4 percent previously expected. "Production in the coming months should increase in all sectors of industry," the bank said in a statement. Detailing the results of the survey conducted in December, the Bank of France also said its business climate index rose to 101 in December from 99 in November. Thursday's publication concerned a survey which is conducted monthly and routinely covers some 12,000 companies.//