From Online Dictionary of Crystallography
Base primitive (Fr). Primitive Basis (Ge). Base primitiva (It). 単純基底 (Ja). Base primitiva (Sp).
A primitive basis is a crystallographic basis of the vector lattice L such that every lattice vector t of L may be obtained as an integral linear combination of the basis vectors, a, b, c.
In mathematics, a primitive basis is often called a lattice basis, whereas in crystallography the latter has a more general meaning and corresponds to a crystallographic basis.