How many protons are needed to force synthesis of 1 ATP?

Although one can look at in terms of energy it is also relevant to look at in term of the function of the ATP Synthase protein complex in the mitochondria where the page of 1H's results in the rotation and transition of the active site from the ADP +Pi binding to ATP formation to ATP release, in general it has to p about 12 1H's through the membrane for one full reaction cycle and the complete production of 1 ATP from ADP and Pi