The discussion centers on the challenge of proving that the number of unordered partitions of an even number 2n into two composite numbers exceeds that of an odd number 2n+1 into two composites for n greater than 1 and n not equal to a prime. Participants express skepticism about the feasibility of solving this problem, likening it to the unsolved Goldbach Conjecture. One contributor humorously suggests that the question is essentially a joke, indicating its complexity and the improbability of finding a solution. The thread highlights the difficulty of the mathematical challenge posed. Overall, the consensus is that the proof is unlikely to be achieved.