For those interested, the statement of the problem is wrong and the step "let us take A(pwr)x=2n+1 B(pwr)y=2n" is incorrect (there may exist no such n). The following Aaronson signs apply: 1, 2, 3 (would imply no triples rather than no coprime triples), 6, 7, and 10.
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CSI of Charles University
mistake
For those interested, the statement of the problem is wrong and the step "let us take A(pwr)x=2n+1 B(pwr)y=2n" is incorrect (there may exist no such n). The following Aaronson signs apply: 1, 2, 3 (would imply no triples rather than no coprime triples), 6, 7, and 10.