The memo added that the show was "not stunt TV" and as a judge, Brown could become "more popular than Alan Sugar".
A spokesman for Blears confirmed that a reality show was in the works: "It is a very worthy programme idea. These young people would engage and have some kind of competition, and then there would be a way of electing a young prime minister for a day.
"The idea is to get more young people interested in politics. But it hasn’t been commissioned yet. It is very early days."