--- Kermit Rose <kermit@...
> I'm wondering how my current factoring program compares to other methods
> used in terms of the amount of work needed to find the factors.
> Factored here are 10^16 + 37 and 10^16+39.
> The difficulty number is the number of trial difference of squares used in
> the algorithm.
> z = 10000000000000037 x = 168040027 y = 59509631 difficulty = 1382382
> z = 10000000000000039 x = 1830629 y = 5462603291 difficulty = 655091
If you really wondered how it compares to other methods, why have you not
compared it to other methods?
Grab Miracl, and see how quickly P-1, P+1, Rho, and ECM can split those
168040027 will be found by P-1, and often P+1, trivially.
59509631 will be found by P+1 trivially.
1830629 will be found by P+1 trivially.
Most things that P+/-1 can find trivially Rho and ECM can too.
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