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I’m wondering if I can be bothered writing a little program to give me all the primes to 1000 in Roman numerals :)

Thanks tatters

All done.

More a sense of relief than anything that it was doable and now don’t have to worry about the numerical for another three months!

I have a set of answers to the lower case letters which satisfy the equations and are all primes - but I can't make 2 of them fit the grid. This suggests that there is more than one set of numbers satisfying these criteria. Has anyone else run into this problem?

efghk can be made up in loads of ways and this may be where you are having a problem. Plenty of combinations meet the equation but only one of them will fit the grid.

Yes, best to leave the second equation until last when there should only be a couple of unknowns with values restricted by the remaining incomplete lights (eg 2d and 18d).

For anyone thinking about getting started with this I’d suggest looking on the ‘may contain answers’ thread where tatters has helpfully provided a list of prime numbers in Roman numeral format. I wish I’d seen it before working them all out myself... would have saved time and avoided the least satisfying part of what was otherwise a quite enjoyable puzzle. Wish there’d been some sort of endgame though.

I must confess to being a bit dim about this but how, in the case of c and m, can only one lower-case letter represent, respectively, as many as 8 and 6 different grid entries of each length of 3 and 5 digits?

Thanks tatters.
theragman, there are other primes in the grid that don’t appear at all in the equations.

Thanks lordbadger. So the one c and two m's in the equations relate to only one three letter and one five letter entry in the grid respectively?