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Results tagged with digits
Search options questions only
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user 3
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Can $N^2$ have only digits 0 and 1, other than $N=10^k$?
Is there a positive integer $N$, not of the form $10^k$, such that the digits of $N^2$ are all 0's and 1's?
It seems very unlikely, but I don't have a proof. … If you pretend that the digits of $N^2$ are randomly distributed, and $N$ has $n$-digits, there's a $(2/10)^{2n}$ chance of satisfying this condition. …
