Alphametics for Ten-Digit Squares

Authors

Leslie E. Card

Abstract

Among the nearly 70,000 ten-digit numbers representing the squres of 31, 501 to 99,381, inclusive, only 87 consist of unique digits, i.e., contain all ten digits 0 through 9. A list of these 87 squares is given by T. Charles Jones in the article "Squares with 9 and 10 Distinct Digits" published on pp. 62-63 of the Journal of Recreational Mathematics 1 (1968). Only 27 of these 87 numbers are the squares of five-digit numbers which likewise consist of unique digits.

Recommended Citation

Card, Leslie E. (1970) "Alphametics for Ten-Digit Squares," Word Ways: Vol. 3 : Iss. 2 , Article 16.
Retrieved from: https://digitalcommons.butler.edu/wordways/vol3/iss2/16