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Problem 4

The Natural numbers is the set: {1,2,3,4,5,6…}.


Find a formula to express any natural number N using three 2’s (no other numbers may be used) and as many of the following mathematical symbols as you wish (keeping in mind that only three 2’s may appear in your formula):



(let this symbol denote the use of another symbol N- times)


Start the formula like this:

N =



Solution