#16308: Improve sums of squares
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Reporter: jdemeyer | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.3
Component: number theory | Resolution:
Keywords: | Merged in:
Authors: Jeroen Demeyer | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
u/jdemeyer/ticket/16308 | 6b94a6576031e6e341143a4fc1fd83263a800ed9
Dependencies: | Stopgaps:
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Comment (by jdemeyer):
It is embarrassing to say so, but for many examples, the old GAP code is
actually faster. The reason seems to be that GAP beats PARI on factoring
small numbers (which is a big surprise to me!). But GAP doesn't support
large numbers:
{{{
sage: two_squares(3^100+1)
RuntimeError: Gap produced error output
Error, sorry, cannot factor [ 1109667565348268894775749972955601 ]
type 'return;' to try again with a larger number of trials in
FactorsRho (or use option 'RhoTrials')
executing TwoSquares(515377520732011331036461129765621272702107522002);
}}}
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Ticket URL: <http://trac.sagemath.org/ticket/16308#comment:10>
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