The son of Gilbert Primrose, he was born at St. Jean d'Angély, now in Charente-Inférieure, France.
His first book appeared in London in 1630: Exercitationes et Animadversiones in Librum Gulielmi Harvaei de Motu Cordis et Circulatione Sanguinis, an attempt to refute Harvey's theory of the circulation of the blood.
His Animadversiones in J. Walaei Disputationem, Amsterdam, 1639, Animadversiones in Theses D. Henrici le Roy, Leyden, 1640, and Antidotum adversus Spongium venatum Henrici Regii, Leyden, 1640, are further arguments on the same subject.
Wittie published in 1640 in London an English version of a separate work by Primrose on part of the same subject, The Antimoniall Cup twice Cast.
In 1647 Primrose published, at Leyden, Aphorismi necessarii ad doctrinam Medicinae acquirendam perutiles, and, at Amsterdam, in 1650, Enchiridion Medicum, a digest of Galenic medicine, on the same general plan as Nial O'Glacan's treatise, and in 1651 Ars Pharmaceutica, methodus brevissima de eligendis et componendis medicinis.