Colinvparker, 1 month ago

@christianp @jcastroarnaud In a very restrictive form of the game:

1. Only positive integers, addition, and multiplication are permitted
2. Multiplication by 1 (which is trivial) is disallowed

I believe that in this case 1,2,3, and 4 are in unique single element equivalence classes. 5 and higher integers are in an equivalence class via the relation (2+3)->(2*3), iterated as needed. The shortest move between higher numbers becomes a bit tricky to calculate?