Safari can't verify the identity of the website.

Hello,

I have been having some issue with the web browser and certain websites, most notably www.google.com. It only happens when I am connected to my home network, hence it happens to all devices connected to my home network; iPad, iPhone, MacBook Pro, iMac, every device I know. It happens maybe once or twice every 2 days or so. I have to wait about an hour or more, in order for the site to work again. I get all kinds of weird errors. When this happens the only search engine that works fine is www.yahoo.com. But www.google.com, www.facebook, and www.twitter.com, do no not work. I stop trying to use the internet since its very frustrated. I get 404 erros, cant verify the website, certificates issues, etc. Once, I get the veryfiy or ceritificate issue, website will be down for me. I have used my laptop outside my home network and works great, also my iPad and iPhone when on the Verizon network, I never get this issues. Thanks!