I took a 5th gen ag/ab hiv test 39 days post possible exposure. result was non-reactive. am i ok?

Conclusive HIV test: "Fifth generation" for an HIV test is marketing hype -- the manufacturer calls their new test 5th gen, but it's still bacially the same as all other 4th generation tests. Results of 4th gen HIV tests are usually conclusive after 4 weeks and always by 6 weeks (42 days). But 39 days is close enough; for sure you didn't catch HIV.