Problem #5






In a cryptarithm, numbers are represented by replacing their digits by letters; a given letter consistently represents the same digit and different letters represent different digits. Leading zeroes are not permitted. Solve the following cryptarithm:

ONE + ONE = TWO,
SEVEN is prime, and
NINE is a perfect square.

Update
The intent of the original problem was to work base 10. Robin Stokes asks about solutions in other bases.


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