Crossnumber Revenge Mystery Cache

Recently, The North Star came out with a fun, but, for me, quite difficult little puzzle called Crossnumber PRIMEr. My mind and my eyes don't play well with each other, so when cachbefound came up with Crossnumber Prequel, and it worked just a little different, my brain refused to cooperate. But I managed, with help, to solve both of them. And then, just when my eyes had uncrossed from all those crossnumbers, cachbefound fired another volley with Crossnumber Sequel. My brain began its strabismal descent into confusion. Thankfully cbf is great with hints, or my eyes would still be crossed.

In an effort to quash this spate of crossnumber puzzles from being inflicted upon my pitiful brain, I came up with this crossnumber puzzle, which contains no prime numbers I'm aware of. At least, I didn't bother to check the numbers for primality before generating the puzzle, with help from a spreadsheet program I still can't quite figure out how to use properly. It should be easier, I hope, than the previous three, but then again, it's also possible some of you will need to keep a fire extinguisher handy to prevent your servers from igniting the curtains or melting the blinds in your dreary little corner of the room you claim is your "office." I really don't know how you're going to solve it. Just because I created it doesn't necessarily mean I could solve it either. I already know the answer.

So, study the image below and peruse the permutations necessary to complete the grid of numbers using the following simple statements.

When you think you have figured out the entire sequence of digits ABCDEFGH, pat yourself on the back for a job well done and enter it as a keyword into certitude.

Congratulations to KendraH for FTF. She gets it!