#collectdigits — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #collectdigits, aggregated by home.social.
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The following equations use each of the digits \(1\) to \(9\) exactly once.
\[\Huge\boxed{567=\sqrt{321489}}\]
\[\Huge\boxed{854=\sqrt{729316}}\]
In fact, there are only \(2\) solutions to \(n=\sqrt N\) or \(n^2=N\), with the condition that \(n\) and \(N\) together use each of the digits \(1\) to \(9\) exactly once. See what #Mathematica and #Python return. Also, \(n^k=N\) seems to have no solutions for \(k\neq2\).
Python code:
[1] https://www.mycompiler.io/view/GEAYSh5dYeG
[2] https://sagecell.sagemath.org/?z=eJyFUduKwjAQfS_0HwZfkrhFUNdbwV_oD4iU7iaVWeykJHFfxH_fTLVeirDzcAiZM5dzpna2AQzGBWuPHrBprQvQGtecQhXQkk-TNNGmBvTlb3VEXXp7PHFGUgaFytMEYnzb5gvJ6FLjAYOHLfjgJCn46B6FutKcCSdH4OMQo-WgSMF2CzsxFRmIGcOc4ZNhwbBkWDGsGTZi3-9WIz328rJf6v4T19ntr3-1dZ08QHqRKcV0Nv9cLFfrjejrez4y2VV0MHKawUblAA8CB5VRZBwixOTHIkluvMtxr15pxTsa5kMaRQpSkF3XYYtbrniTwzqWjscwYx8LqEj_c7TnuHs1qdrWkJZX5vBuNxIb_-zu8ABpwr5xB7bunrjNbR1LqEcs9EyXrFN1Li4j9QdHwLWv&lang=python&interacts=eJyLjgUAARUAuQ==