The multivariate logistic regression analysis indicated that age (OR 1.189, 95%CI 1.122–1.263, p<0.001), prolactin (OR 1.040, 95%CI 1.004–1.077, p=0.029), and the TyG index (OR 2.473, 95%CI 1.404–4.177, p<0.001) were identified as independent predictive factors for infertility in patients diagnosed with PCOS (Table 3). The gene discussed is PRL; the disease is polycystic ovary syndrome.