rolli59 :
It really depends on game publishers but not many games today utilize more than an I3 can handle but they do exist and we can only expect more and more games benefit from more cores.
The pentium and the i3 computer are from lenovo and:
The pentium G3260 computer comes with 4gb of memory, a 500gb hard drive, and an insufficient PSU for 230$
The i3-4160 computer comes with 8gb of memory and a 1 TB hard drive, but still an insufficient PSU for 330$
The i5-4460 computer is from dell and comes with 12gb of memory, a 1TB hard drive, and an insufficient PSU for 430$
Which should I get (and upgrade), in your opinion? I would buy a 3tb hard drive and a new PSU for whichever I get, and add more ram to the Pentium, if I got it. I plan to play a variety of AAA games (elder scrolls 6, fallout 4, borderlands 3, bioshock 3(if it ever comes out)the studio that made it broke up), etc.). A cheap laptop can play old(pre-2013) games so I'm not worried about those.