Talk:First perfect square in base n with n unique digits: Difference between revisions
Talk:First perfect square in base n with n unique digits (view source)
Revision as of 10:08, 24 May 2019
, 4 years ago→Space compression and proof ?
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Base 17: 423F82GA9² == 101246A89CGFB357ED
:::The residuals base 16 are 1 4 9 16<br>0+1+...+15+16 -> 80 -> 8 therefore no 17 digit perfect square made from digits 0..g in base 17 so searching for one is pointless.<br>101246A89CGFB357ED -> 81 -> 9 therefore is a perfect square.<br>smallest possible number made repeating 1 is 10123486789abcdefg so you only need to verify that there is no perfect square between 10123486789abcdefg and 101246A89CGFB357ED which contains all the digits between 0 and g to prove that 101246A89CGFB357ED is the smallest.--[[User:Nigel Galloway|Nigel Galloway]] ([[User talk:Nigel Galloway|talk]]) 10:07, 24 May 2019 (UTC)
:::So digital root 9, I think, drawn from the dual-symmetry base 17 cycle for perfect squares of
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