If a=p1k1...pnkn, a∈N, pi∈P, i=1,2,3,...,n; Ndeg(a)=max{k1,k2,...,kn} then Ndeg(ab)<=Ndeg(a)+Ndeg(b) but there exist Papava's open problem: Ndeg(a+b)<=?. Result: Many open problems in number theory. Prize: ,,Math King Rank".