Questions on the number-theoretic functionality of Mathematica.
7
votes
0answers
251 views
Does Mathematica use the Elliptic Curve Method (ECM) in FactorInteger[]?
I'm not a mathematician, and I'm not even going to pretend that I understand anything of the ECM. But I know it can be a fast method for factorization.
I benchmarked the factorization of ...
5
votes
0answers
78 views
Doing computations in a modulo ring
I need to perform some computations in a modulo ring, like
Mod[Subfactorial[n], m]
Mod[Binomial[n, k], m]
However, this is obviously much too slow for large ...
3
votes
0answers
192 views
Parallel PowerMod
Is there anyway to parallelize the PowerMod function?
Here is my Left-To-Right modular exponentation:
...
2
votes
0answers
86 views
PowersRepresentations Algorithm
I'm trying to understand the mathematics behind counting the number of representations of a positive integer by $n$ distinct $k$th powers, i.e. I would really like to know how to do the Mathematica ...
1
vote
0answers
150 views
Faster GCD Implementation
Is there any chance to write a faster GCD than the built-in one in Mathematica?
@Mr.Wizard has written one in this question (although it's not for this purpose) which is 6 times slower on a 100k ...
