#16662: OA for n=1046,1059,2164,3992,3994
-------------------------------------+-------------------------------------
       Reporter:  ncohen             |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.4
      Component:  combinatorial      |   Resolution:
  designs                            |    Merged in:
       Keywords:                     |    Reviewers:
        Authors:  Nathann Cohen      |  Work issues:
Report Upstream:  N/A                |       Commit:
         Branch:  u/ncohen/16662     |  8fcaed066b7f110af10c6a471cbebcad370bd312
   Dependencies:  #16604             |     Stopgaps:
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Comment (by ncohen):

 Yo !

 > It is not only caching. With a more naive approach you would have

 What you do there is the work of the "all_n" function I wound like to
 write. I would like to replace the
 {{{
 for n in range(N-2):
     if is_prime(n)
 }}}

 with
 {{{
 for n in prime_powers(N-2):
    ...
 }}}

 But it is not possible because you use n to build the cache.

 > About your caching system, what would be the difference between
 `is_available` and `exists`? And instead of `all_n` I would prefer
 `nrange` or something more pythonic.

 `is_available` would not trigger non-existence tests. But perhaps that is
 less useful since your rewrote the `is_sum_of_squares` thing.

 Nathann

--
Ticket URL: <http://trac.sagemath.org/ticket/16662#comment:24>
Sage <http://www.sagemath.org>
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