French junior minister for Digital Economy Axelle Lemaire arrives at the Elysee presidential Palace in Paris for the first weekly cabinet meeting following the summer holidays. Maverick left-winger Montebourg is the third former minister from President Francois Hollande's Socialist government to declare his intention to stand as a candidate after former ecology minister Cecile Duflot and Benoit Hamon, who once headed the education ministry. / AFP PHOTO / STEPHANE DE SAKUTINSTEPHANE DE SAKUTIN/AFP/Getty Images