#16880: previous_prime, previous_prime_power, next_prime_power
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Reporter: vdelecroix | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.7
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Vincent Delecroix | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/vdelecroix/16880 | b3cfd3cce04b352ee86b7b84c3880f0c5d5829e9
Dependencies: | Stopgaps:
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Changes (by vdelecroix):
* milestone: sage-6.6 => sage-6.7
* dependencies: #16878, #17852 =>
Old description:
> In this ticket we:
> - introduce methods `previous_prime`, `next_prime_power`,
> `previous_prime_power` for integers
> - split `prime_range` in `rings/fast_arith.pyx` into two subfunctions
> and optimize them
> - create a faster cythonized `prime_power_range` and propose two
> implementations for `arith.prime_powers`
> - add `rings/fast_arith.pyx` to the documentation
New description:
In this ticket we add three methods to integers: `previous_prime` (calling
pari `precprime`), `next_prime_power` and `previous_prime_power`. We also
make changes in `sage.rings.arith` to call these (faster) methods.
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Ticket URL: <http://trac.sagemath.org/ticket/16880#comment:16>
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