Re:Air Force Designed, Built, and Flew a Brand-New Fighter J...
by dredmorbius on Wednesday September 16, 2020 @02:06PM
(#24495424)
USAF has just over 5,600 aircraft in service total, about 5,000 manned, per Wikipedia. There have been about 1,200 F-15s (all variants) built, 555 F-35s, 195 F-22s, and 4,600 F-16s. Not all built aircraft remain in service, nor are all in the US armed forces.
Your count at least seems reasonable.