Thanks sh, my problem was actually the two crossing answers which can go either way around, a fact I’d missed for some reason. Switched, that forced the middle cell nicely. I agree that prime factoring is the key, and a tool is essential (I use WolframAlpha), and as I count it you’d need to try out potentially 26 different numbers to see if they fit the (square x prime)’ pattern. That does seem a shame, though I’m impressed you did 18A without a calculator…!
With the blanks filled in, the gobbledygook resolved itself, although I found starting in the
top[\i] left more useful. I can’t see what the “sequenced conventionally” refers to, as the items appear listed in all sorts of different orders, but at least I can see what’s missing, which is all we actually need, and made the title clear.
I enjoyed this one: that business with giving us the number of cells not the number of digits was sneaky and gave me some pause at the start, but once you poked at it it started to crumble nicely. Thanks Child’s Play.