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The dosage of Lipitor, a medication used to treat high cholesterol, does not directly influence the potency of prescribed painkillers. Lipitor, a statin, works by reducing the amount of cholesterol produced by the body, which helps prevent heart disease and stroke [1].

Painkillers, on the other hand, work by blocking pain signals in the body or reducing inflammation. The potency of a painkiller is determined by its chemical structure and how it interacts with specific targets in the body, not by the dosage of another medication such as Lipitor [2].

It is important to note that both Lipitor and painkillers can have interactions with other medications, which can affect how well they work or increase the risk of side effects. Therefore, it is crucial to inform healthcare providers of all medications, including over-the-counter drugs and supplements, being taken [3].

In summary, Lipitor's dosage does not influence the potency of prescribed painkillers. However, it is always important to consult with healthcare providers about medication interactions and potential side effects.

Sources:
[1] Mayo Clinic. (2021). Atorvastatin (Oral Route). Retrieved from <https://www.mayoclinic.org/drugs-supplements/atorvastatin-oral-route/description/drg-20065051>
[2] National Institute on Drug Abuse. (2021). Prescription Pain Medications (Opioids). Retrieved from <https://www.drugabuse.gov/publications/research-reports/prescription-drugs/opioids/how-do-opioids-work>
[3] DrugPatentWatch. (2021). Lipitor. Retrieved from <https://www.drugpatentwatch.com/drugs/lipitor>