#19814: Group Theory::random_prime(n) generating composite numbers for large 
values
of n
-------------------------------------------------+-------------------------
       Reporter:  DayneSorvisto                  |        Owner:
           Type:  PLEASE CHANGE                  |  DayneSorvisto
       Priority:  major                          |       Status:  new
      Component:  number theory                  |    Milestone:  sage-7.0
       Keywords:  prime numbers                  |   Resolution:
        Authors:                                 |    Merged in:
Report Upstream:  Reported upstream. No          |    Reviewers:
  feedback yet.                                  |  Work issues:
         Branch:                                 |       Commit:
   Dependencies:                                 |     Stopgaps:
-------------------------------------------------+-------------------------
Changes (by DayneSorvisto):

 * owner:   => DayneSorvisto


Old description:

> Hi,
>
> First time posting a bug report on trac. The bug I'd like to report is
> "random_value" returns composite numbers for large integers. For example
> m =
> random_prime(100000000000000000000000000000000000000000000000000000000000000000000000000)
> returned
> 71944724797690175157403755256108218794891687825722145298657347991279721529
> which is a composite number ending in 9.

New description:

 Hi,

 First time posting a bug report on trac. The bug I'd like to report is
 "random_value" returns composite numbers for large integers. For example


 {{{
 
random_prime(100000000000000000000000000000000000000000000000000000000000000000000000000)
 }}}

 returned
 71944724797690175157403755256108218794891687825722145298657347991279721529
 which is a composite number ending in 9. I am using the SageMath cloud
 notebook but believe it's reproducible on other implementations of Sage.

--

--
Ticket URL: <http://trac.sagemath.org/ticket/19814#comment:1>
Sage <http://www.sagemath.org>
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