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I’ve had a refurbished iPhone 6 for a year and a half. It works fine for the most part, but I’m having some issues with the touch screen responding. My screen just stops responding out of the blue, no matter what I’m doing on it. I have tried restarting it (with the home and power buttons). What does seem to work is literally pushing the screen down onto the back of the phone. It usually works fine for a little while after that before I have to do that again. This happens about 5 times per day. I’m guessing it has something to do with the screen itself and not the touch response. Has anyone else had this problem? Is there anything I should try before just getting a new phone?

You are describing a very well known issue that Iphone 6 and 6 plus have called Touch Disease. It is an IC chip on the Logic board that needs microsoldering repair. The IC is removed, the pads are cleaned and prepared for a “Reballed” IC or new IC chip and fixes this issue in more than 90% of the cases. I would guess higher since pressing the back gets it to work at times…meaning that the solder connection to the logic board has broken and pressure makes it connect temporarily.