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The number of 5 was chosen partly because many years ago, before there was much research to go by, someone thought it sounded good. There is more than that. The likelihood of measurable, negative outcomes is very low at an AHI of 5 or below, so it's also based upon raw statistics. However, there's a lot of variation in the way individuals respond. Some people may have a low AHI because their events are isolated to their REM sleep, and those few events can be very severe. In other cases and AHI 5 is enough to make some one highly symptomatic (e.g. very tired). Really, AHI is a useful measurement but, like anything, it is only a guide and needs to be considered in light of other factors. I always think an AHI of 5 sounds pretty bad still.
There is further wrinkle in that an AHI reported by a CPAP machine is not necessarily the same as an AHI reported by a sleep study. Your CPAP machine con only estimate AHI based upon changes in air pressure (i.e. changes in your breathing). Sometimes these will be due to genuine apnoeas or hypopnoeas, but sometimes they will be something else that would be ruled out in a full sleep study. For this reason the AHI reported by your CPAP machine should always be considered a likely overestimation. It is also common for some medical devices to err on the side of a false positive rather than a false negative. This is because it is usually better to be alerted to a possible problem and, upon further investigation, find that it is not real, rather than for a real problem to be missed.