In this note, we construct a set S of primitive sequences such that, for any real number x >= 81, we get Sigma(a is an element of A)1/(loga + x) > Sigma(p is an element of P)1/p(log p + x), A subset of S where P denotes the set of prime numbers. (C) 2019 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.