DEFINING A LARGE NUMBER MITN(1) = 2 = 2 MITN(2) = 4 = 2*2 MITN(3) = 8 = 2*(2+2) MITN(4) = 16 = (2*2)*(2+2) MITN(5) >= 32 = (2*(2+2))*(2+2) MITN(6) >= 64 = ((2+2)*(2+2))*(2+2) MITN(7) >= 96 = ((2+2+2)*(2+2))*(2+2) MITN(8) >= 144 = ((2+2+2)*(2+2+2))*(2+2) MITN(9) >= 386 = ((2+2+2)*(2+2))*((2+2)*(2+2))
I have found an upper bound: F1000000. If we removed the restriction about the amount of “*” we could use, MITN(x) would be equal to 2^x, so the expression is <2^^1000004<10^^1M.
