The paper discusses the constraints on primordial black holes (PBHs) derived from pulsar timing array (PTA) observations and the impact of primordial non-Gaussianities (NGs). The authors derive conservative bounds on the amplitude of the scalar power spectrum at PTA frequencies and estimate the implications for PBH abundance. They find that only a small fraction of dark matter can consist of stellar mass PBHs when the abundance is calculated using threshold statistics. The constraints depend on the shape of the power spectrum and the nature of NGs. Positive NGs can soften these constraints, while negative NGs can tighten them. The paper also explores the possibility of PBHs seeding supermassive black holes (SMBHs) and concludes that large positive NGs are needed to produce a significant population of massive PBHs. The analysis highlights the theoretical uncertainties in assessing PBH abundance and the importance of refining the calculation methods.The paper discusses the constraints on primordial black holes (PBHs) derived from pulsar timing array (PTA) observations and the impact of primordial non-Gaussianities (NGs). The authors derive conservative bounds on the amplitude of the scalar power spectrum at PTA frequencies and estimate the implications for PBH abundance. They find that only a small fraction of dark matter can consist of stellar mass PBHs when the abundance is calculated using threshold statistics. The constraints depend on the shape of the power spectrum and the nature of NGs. Positive NGs can soften these constraints, while negative NGs can tighten them. The paper also explores the possibility of PBHs seeding supermassive black holes (SMBHs) and concludes that large positive NGs are needed to produce a significant population of massive PBHs. The analysis highlights the theoretical uncertainties in assessing PBH abundance and the importance of refining the calculation methods.