But p2 and p3 don't yet know what they are themselves just because they see a 1: If p2 sees 1 and 33, s/he would wonder if s/he is 32 or 34. P3 would consider

But p2 and p3 don't yet know what they are themselves just because they see a 1: If p2 sees 1 and 33, s/he would wonder if s/he is 32 or 34. P3 would consider 31 or 33.