I3, I5, and I7 are the processor names with I7 being the fastest. There are dual core and quad core processors. The Quad core processors are the better ones. I don't remember if the I7 is dual or Quad.
Boo, any young person at a major store like Best Buy can provide you with good info. Also you can go to www.cnet.com
and find articles about " best laptops". www.pcmag.com
is another good resource.