it (with -p option) does work on a recent Sage 9.1 beta.
Specfically, I got the file here:

 
http://www.mirrorservice.org/sites/www.sagemath.org//spkg/optional/cunningham_tables-1.0.spkg

On Thu, Mar 12, 2020 at 4:15 PM 'Peter Mueller' via sage-support
<sage-support@googlegroups.com> wrote:
>
> Locally compiled versions of Sage on two up-to-date Manjaro Linux machines, 
> and the binary distribution on a Debian 9 machine. In all three cases Sage 
> version 9.0.
>
> Am Donnerstag, 12. März 2020 16:53:48 UTC+1 schrieb vdelecroix:
>>
>> What is your setup?
>>
>> Le 12/03/2020 à 14:15, 'Peter Mueller' via sage-support a écrit :
>> > Calling the example
>> > from sage.rings.factorint import factor_cunningham
>> > factor_cunningham(2^257-1)
>> > from the docs yields the message that the Cunningham tables should be
>> > installed  via ``sage -i cunningham_tables``. Trying this, however, yields
>> > a `not found' message, and suggests to try the option `-p' instead of '-i'.
>> > This, in turn results in an error message.
>> >
>> > -- Peter Mueller
>> >
>
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