A threaded connection for exploration and production of a hydrocarbon well and comprising a coupling member, a first tubular member and a second tubular member, wherein the coupling member has a coupling outer diameter, a first box part with first inner threads, and a second box part with second inner threads, the first tubular member has a first unthreaded tube part, and a first pin part with first outer threads, the second tubular member has a second unthreaded tube part, and a second pin part with second outer threads, the first inner threads and the first outer threads are configured to form a first inner primary seal at final make-up, and the second inner threads and the second outer threads are configured to form a second inner primary seal at final make-up.