Talk:First perfect square in base n with n unique digits: Difference between revisions
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(→Space compression and proof ?: Cases where q=0 ?) |
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::: Nigel, how would you formulate cases like base 12 and 14 in terms of quadratic residues ? The repeated digit sums of the first all-digit perfect squares seen for 12 and 14 are 'b' and 'd' respectively, corresponding to x^2 mod (N-1) == 0. Am I right in thinking that the 0 case is not usually treated as a member of the set of residuals ? Presumably we need to tack it on to our working lists of residuals here ... [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 12:01, 24 May 2019 (UTC) |
::: Nigel, how would you formulate cases like base 12 and 14 in terms of quadratic residues ? The repeated digit sums of the first all-digit perfect squares seen for 12 and 14 are 'b' and 'd' respectively, corresponding to x^2 mod (N-1) == 0. Am I right in thinking that the 0 case is not usually treated as a member of the set of residuals ? Presumably we need to tack it on to our working lists of residuals here ... [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 12:01, 24 May 2019 (UTC) |
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:::: Scratch that – I see that you are already including such cases above in ''residuals base 16 -> 1 4 9 16'' [[User:Hout|Hout]] ([[User talk:Hout|talk]]) 12:18, 24 May 2019 (UTC) |