For me, with SageMath version 9.8.beta7
sage: ecm.factor(71281426948143699070565)
does not return quickly either.
Indeed, running
sage: ecm.interact()
seems to show a strange behaviour for 71281426948143699070565 when
factoring the factors found.
As this is probabilistic and the output changes every time, I do not copy
it here.
Guillermo
On Sun, 29 Jan 2023 at 15:41, Bill Witzke <bwitzk...@gmail.com> wrote:
> Hi,
>
> I have a hard time factoring the number 71281426948143699070565 using
> ecm.factor(). No result is given after a few minutes runtime. Though,
> plain factor() happily factors the number. Factoring smaller or larger
> numbers work fine with ecm.factor(), too. Just the single given number
> seems to be problematic.
>
> Am I doing something wrong? Can someone confirm?
>
> system:
> Ubuntu 22.04
> sagemath 9.5-4 (via apt)
> Intel Pentium N5000
> (SageMath and Python beginner)
>
> example code factoring numbers in the range [71281426948143699070565 - L,
> 71281426948143699070565 + L]:
>
> # Odd number.
> n = 71281426948143699070565
> # Limit.
> L = 2
> # Iterate over interval [-L, L].
> for i in range(-L, L + 1):
> m = n + i
> print("%d => %s" % (m, ecm.factor(m)))
>
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