It is conjectured that 24 is a good reply to 16 and that 12 and 27 are good replies to 18. [J. H.] Conway offers $50 for the first establishment of the status of a number 2a ⋅ 3b ≥ 16. % The first two conjectures are false; {10,16,24} and {10,12,18} are P. The status of {18,27} is unknown.