[seqfan] Re: Fixing A175155 Numbers n satisfying n^2 + 1 = x^2 y^3

[Georgi Guninski]

Robert,

You submitted a b-file. Are you sure you are not missing terms?

Is it possible for large k
x^2 - k^3 y^2 = -1
to have relatively small solution x?
(Probably this depends on the length of the period of the c.f.).



On Fri, Nov 16, 2012 at 12:54:17PM -0500, Robert G. Wilson v wrote:
> SeqFans,
> 
> 	Here is what I get so far.
>   
>   682
>   1268860318
>   1459639851109444
>   2360712083917682
>   4392100110703410665318
>   8171493471761113423918890682
>   15203047261220215902863544865414318
>   28285239023397517753374058381589688919682
>   12439333951782387734360136352377558500557329868
>   52624630632537831937855708654927989510825107318
>   97908020042547086005693272723322840570529500826004682
>   182157675473066143788787784683258842527134067238269233744318
>   338903990902190706366709548741628016731324554988094903342010145682
>   630530197265361847138377315870912654087912613063713457410764922787325318
>  
> 1060104169164423772274446059994682269961159864044458330444625185013342888064
> 84
>   ...  
>  
> 4279104078004899022080917697403989475430634859934233351021743853386879637099
> 3207437700222532927350542021925898943115140846846046603791372889127160448480
> 6456648567809059292918190921243953601798103132062280668429245895045322132474
> 8652845281679499196042278242733025358631331870513056058535101653128688454846
> 1633431386777413294481337916503669521364720759917056738645910768971999734826
> 6905616
> 
> Sincerely yours, Bob.
>