Is there a non-square positive integer $n$, that $\sqrt{n}$ has only even digits in its decimal representation ?
Square root of an integer has only even digits
12
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number-theory
ergodic-theory
decimal-expansion
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1@ougao: How will that help? – 2012-12-13
1 Answers
3
No such $n$ is known.
If one were found, it would be the biggest shock in Mathematics since, well, maybe since ever; certainly, since Godel's incompleteness results.
No proof is known that such an $n$ does not exist.
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1The only connection is that Godel's results came as a shock, and finding such an $n$ would be at least as big a shock. The connection is sociological, not mathematical. – 2012-12-14