I'd suspect the difference in gaming benchmarks would be less noticeable than most would care to admit, truthfully...
(No way to up your budget to a 1600?)
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my budget is $140 and i used to have a g3258 overclocked to 4.2 ghz and worked excellent with my convertxtodvd program,using 3 instances simultaneously of them ran at over 100 fps steadily ,compared to my fx 8320 which never got that high on fps,now i don't know what to do,i think the i3 7350k would be a good buy for $130 doesn't it?