Searching For Exotic Physics Beyond the Standard Model: Extrapolation Until the End of Run-3

The prospects of looking for exotic beyond-the-Standard-Model physics with the ATLAS and CMS detectors at the LHC in the rest of Run-2 and in Run-3 will be reviewed. A few selected analyses will be discussed, showing the gain in sensitivity that can be achieved by accumulating more data and comparing the current limits with the predicted reach. Some limiting factors will be identified, along with ideas on how to improve on the searches.