You may want to be careful about what you are setting your computer budget for if you are planning to use demanding applications like Photoshop or Illustrator CC. If the computer you select only meets the current requirements, then you may need to purchase a whole new computer in two or three years to continue using the latest features of each app. You might also want to give yourself room for growth into other applications or services included with a Creative Cloud membership.
Personally, I have found it has been more worthwhile to invest a bit more heavily in my computer purchases; they then last me four to five years and meet a range of demanding uses.
In addition to what Jeff A Wright said, just meeting the minimum requirements means it will install and run, not that it will give optimum performance. When in doubt, add more RAM and more storage space on fast drives.
The key thing is that the CPU is just part of the deal. That's a good one. But the amount of RAM, the size and speed of the hard disk/SSD, and the GPU (video card) are all even more important. Don't guess, the wrong choices will leave you with an expensive paperweight.