Did you run across a proof that there are no lunch bunch arrangements for orders that arent powers of one prime? Basically this would be a generalization of the 36 officer problem. It seems pretty likely that your statement is correct

I think it's impossible for composite orders like 6 or 10, but all orders that are powers of primes should work.

Seeing as those are the only orders of Galois fields.
I'm asking because if you're not aware of a generalized proof, I'd probably be willing to take a shot at it. I havent done much algebra in a number of years, but it would be a good refresher. :)

In reply to Re: Lunch Bunch arrangement problem by shemp
in thread Lunch Bunch arrangement problem by tall_man

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