You can use the digits 1,2,and 3 once only and any mathematical symbols you are aware of, but no symbol is to be used more than once. The challenge is to see if you can make the smallest positive number.

Special rules: You cannot use Euler's number or pi or infinity.

Special thanks to: Rhonda Wendel for Make the most of these digits and for the problem text which was slightly altered.

(In reply to Amateurs! by Erik O.)

Amateur!

(î = is a up pointing arrow)
2 tetrated by 3 is not 134217728 it's 2^^3 = 2^2^2 = 2^(2^2) = 2^(2*2) = 2^4 = 2*2*2*2 = 16

My solutions is 1 / (2^...^3) ware ^...^ ofcourse is Hyper#INF and #INF is infinitve (it's is not a operand it's a operation).

Hyper1 = Addition
Hyper2 = Multiplication = Repeated addition
Hyper3 = Exponentiation = Repeated multiplication
Hyper4 = Tetration = Repeated exponentiation
Hyper5 = Pentation = Repeated tetration
Hyper6 = Hexation = Repeated pentation
Hyper7 = Heptaion = Repeated hexation
and so on

Posted by Mattias on 2006-07-21 19:08:18