[seqfan] Re: Are solutions x^3*(2k+1) == 1 (mod 2^n) and x^2 == (2k+1) (mod 2^n) the same

israel at math.ubc.ca israel at math.ubc.ca
Tue Dec 15 18:00:23 CET 2020


They certainly should not be the same. It looks like the Data for A323553 
and A323554 are wrong. I'll correct them.

Cheers,
Robert

On Dec 15 2020, Richard J. Mathar wrote:

>Are these two sequences the same?
>
> http://oeis.org/?q=id:A323556|id:A323553 
> 1,1,3,1,3,5,7,1,11,13,7,9,3,5,15,1,27,29,23,25,19,21,15,17,11,13,7,9,3,5,31,1,59,29,23,25,19,53,47,49,43,13,7,9,3,37,31,33,27,61,55,57,51,21,15,17,11,45,39,41,35,5,63,1,123,93,23,25,83,53,47,49,43,13,71,73,3,101,95,97,91,61,119,121,51,21,15,17,11,109,39,41,99,69,63, 
> 1,1,3,1,3,5,7,1,11,13,7,9,3,5,15,1,27,29,23,25,19,21,15,17,11,13,7,9,3,5,31,1,59,29,23,25,19,53,47,49,43,13,7,9,3,37,31,33,27,61,55,57,51,21,15,17,11,45,39,41,35,5,63,1,123,93,23,25,83,53,47,49,43,13,71,73,3,101,95,97,91,61,119,121,51,21,15,17,11,109,39,41,99,69,63,
>
> Are these two sequences the same? 
> http://oeis.org/?q=id:A323555|id:A323554 
> 1,1,3,1,3,5,7,1,3,5,7,9,11,13,15,1,19,21,7,9,27,29,15,17,3,5,23,25,11,13,31,1,19,21,39,41,59,61,15,17,35,37,55,57,11,13,31,33,51,53,7,9,27,29,47,49,3,5,23,25,43,45,63,1,83,21,103,105,59,125,79,81,35,101,55,57,11,77,31,33,115,53,7,9,91,29,111,113,67,5,87,89,43,109,63, 
> 1,1,3,1,3,5,7,1,3,5,7,9,11,13,15,1,19,21,7,9,27,29,15,17,3,5,23,25,11,13,31,1,19,21,39,41,59,61,15,17,35,37,55,57,11,13,31,33,51,53,7,9,27,29,47,49,3,5,23,25,43,45,63,1,83,21,103,105,59,125,79,81,35,101,55,57,11,77,31,33,115,53,7,9,91,29,111,113,67,5,87,89,43,109,63,
>
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