Squares Containing Three Different Digits

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Some square numbers do not end in zero.


Except for {0,1,3} and {6,7,8}, a square number is known that consists of three given digits, some of them repeated [1]. This Demonstration lists such numbers. The largest known two-digit square is .

This Demonstration lists sporadic square numbers. Numbers of the form and the like are not included.


Contributed by: Ed Pegg Jr (August 27)
Open content licensed under CC BY-NC-SA



[1] H. Mishima. "Squares Consisted of Three Different Digits." Mathematician's Secret Room. (Jun 15, 2023) www.asahi-net.or.jp/~kc2h-msm/mathland/overview.htm#C02.


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