Or just... Log into minecraft.net That also works. Lol, it does. I've had to do it a couple times to.
What you said didn't help for the launcher, he had to reset his router. Another thing to try, but only after resetting the router I think.
I open minecraft launcher. Enter login Can't connect to minecraft.net Log into minecraft.net Try again to log into launcher, SUCCESS
I have not tried that before, may have to look into it. Although login problems are often accompanied by website problems.
I'm not even sure how to reset my router exactly, I don't want to fail and blow up my Internet It took me a while then I just logged into the site and it worked. I just check help.mojang.com to see what's down, then go from there
Usually if you want to reset your router all you have to do if unplug one chord and then plug it back in after a few seconds (not sure which chord because it varies on different routers).