read `AMP.txt`: K1:=4: N1:=30: print(`Theorem 3 in the paper for k from 1 to`, K1, `and n from k to`, N1): if {seq(seq(expand(AnwkE(n1,w,k1)-Anwk(n1,w,k1)),n1=k1..N1),k1=1..K1)}={0} then print(`is true`): else print(`is false`): fi: print(`----------------`): print(``): print(`This took`, time(), `seconds, `): quit: