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My name is David. Sorry for the trouble.
Memory errors in network devices often cause this type of connectivity problem. So first, to rule out that possibility, power down the router/modem that provides your Internet access and unplug the power cord and remove the battery from the router/modem as well. Wait 3 minutes. Then reinstall the battery if it has one, plug in the power cord on the router/modem and power up the device. Wait for the router/modem to completely start up. Then do the same with your WiFi router (if you have a separate WiFi router rather than a modem that provides both routing and WiFi). Then restart the computer or device you use with Skype after the router/modem has completed start up and test to see if the issue is resolved.