[seqfan] Re: A153025 5,235,72335

[David Wilson]

Yes, this is correct. We cannot prove the sequence is finite by the 
techniques thus far presented.

What we can say:

If my last program was correct, there are no other elements <= 10^26.

Under reasonable assumptions about the distribution of digits in large 
square numbers, the sequence is finite with probability 1 and the 
likelihood of finding further elements is remote.

f.firoozbakht at sci.ui.ac.ir wrote:
> Dear seqfans,
>
>  From discussion in seqfan list we don't conclude that there are no
> other such numbers. So we don't know sequence is full and finite.
> Am I right?
>
> Farideh
>