They are both in the computer field so there is some chance for confusion. Especially if the Prometheus monitoring project has some AI capabilities then that would strengthen the case for a trademark naming conflict.
Apple Inc, the computer company, had to settle and pay Apple Corps (the Beatles record label) money to settle trademark rights for the Apple name when Apple got into music business:
The name prometheus is already in use by an open source monitoring project:
https://prometheus.io/
They are both in the computer field so there is some chance for confusion. Especially if the Prometheus monitoring project has some AI capabilities then that would strengthen the case for a trademark naming conflict.
Apple Inc, the computer company, had to settle and pay Apple Corps (the Beatles record label) money to settle trademark rights for the Apple name when Apple got into music business:
https://en.wikipedia.org/wiki/Apple_Corps_v_Apple_Computer