Here's a very basic overview of what's supported: https://fedoraproject.org/wiki/Archit...
Some Atoms (e.g. z2760) comes with PowerVR GPUs which are basically unsupported. Stay away from them. Other then that things should work.
The oldest I've successfully used current Fedora 28 with, were Athlon XP and Pentium IV. CPUs compatible with i686 and newer should just work, albeit the older, the slower.
As for newer architectures, the newer CPU, the newer Fedora and Kernel works better. For more details you'd probably have to check when Intel added support to Linux kernel for certain CPU architecture and which Fedora provides this version. It's always best to keep software up to date anyway. Thankfully Fedora community provides newer kernels very quickly and there are also other useful initiatives, e.g. Live-respins - Fedora ISO images with latest updates incorporated.
old truth is: do not use the very latest one (pc or device) with Linux ,because drivers comes a little later
There seems to be one for Fedora 19, but that is extremely deprecated and I would not recommend it.
Aside from that, there seems to be documentation on supported architectures, but not specific CPUs. However, I would assume that it is safe to say that pretty much all Intel CPUs from the last 10ish years would be supported under most versions of Fedora (with maybe some exceptions).
Hope that helps.
Edited: Fixed weird URL breaking behavior of server software
Asked: 2018-10-11 00:33:26 -0600
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Last updated: Oct 11 '18
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Rules of thumb:
For the newest CPUs sold by intel: If your Fedora has a kernel released after the release day of that CPU, it is supported. Basic support will be also in some older kernels, so you should be fine when choosing the latest fedora version for installation and update it immediately after installation.
For the oldest CPUs: Currently, if you have any CPU supporting the x86_64 ISA (Core2Duo from 2008 or any later CPU) you are fine. Some Atoms may not work well because they have a very limited ISA. Not sure about Pentium III or earlier.