This is a known bug. The additional example could be added as a comment on trac 
ticket #24960 <https://trac.sagemath.org/ticket/24960>.

On Friday, November 12, 2021 at 12:49:24 PM UTC-7 [email protected] 
wrote:

> Hello,
>
> prime_pi(281474961965055) gives correct output 8731188419994.
>
> prime_pi(281474961965056)  gives wrong result 8731188419993.
>
> Please note that second input is greater than first, however it produces 
> smaller number of primes. The second output is obviously wrong.  
>
> It was tested on CoCalc.com free trial and the bug is easily reproducible.
>
> Should I open the ticket? Is it a known error?
>
> Thanks
>
> Martin Zeman
>

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