Mooncake :
clutchc :
Here's the CPU support list for the H61M-F: https://www.asus.com/Motherboards/H61MF/HelpDesk_CPU/
It supports Ivy Bridge CPUs. That's a gen faster than your Sandy Bridge. So any i7-3xxx CPU should be an upgrade. The i5-3xxx CPUs will only be about a 10% bump. None of them are cheap. They are all obsolete now and demand a pretty good price used.
i wasthinking of upgrading my mobo with the cpu due to the Sandy Bridge cpus being outdated is the i3 6100 good?
If you can make the move to a new platform, all the better. I doubt though, that you will see any noticeable improvement simply going from a quad core SB i5 to a Skylake dual core i3.
If your framerate with the i5-2500 and GTX 970 isn't to your liking, try a faster gfx card. That will have more influence on framerates than a nearly sidways move from a i5-2500 to a i5 or i7-4xxx.
http://www.tomshardware.com/reviews/cpu-hierarchy,4312.html
The recommendation in this article is at least a
3 tier move to see a noticeable improvement. As you can tell from the chart, the i5-2500 is still a 2nd tier CPU.
I still don't understand how the combo you have now could be limiting your playing experience. What do you game at, 1080p? 60 Hz monitor?