Re: A benchmark comparing ECM and triangle number factoring.
- From: Phil Carmody <thefatphil_demunged@xxxxxxxxxxx>
- Date: Mon, 20 Oct 2008 12:46:12 +0300
dan73 <fasttrack2a@xxxxxxx> writes:
As a test I chose 2 equal length primes of 309
digits each with their ratio close to but less than (2).
Close? That's an understatement.
Here are the two primes with 309 digits each that are
the factors of the semi-prime I used in the benchmark test!
179769313486231590772930519078902473361797697894230657273430081157732675805500963132708477322407536021120113879871393357658789768814416622492847430639474124377767893424865485276302219601246094119453082952085005768838150682342462881473913110540827237163350510684586298239947245938479716304835356329624224137859
359538626972463181545861038157804946723595395788461314546860162315465351611001926265416954644815072042240227759742786715317579537628833244985694861278837891845969618258052648190195896371115988140369645820920259833633655409693853416059037125722165175517329013747430538531505228028427798462090857128884811860889
? p2/p1*1.
1.999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999386119313546687420675910306427450670341023326510669172174971676004261248769726981174221976630359748660245331869923620252889747947569931153601505605283235542419573722249916413759437067985048206303092414988913110569939475994169164368793444261530785312
Dan
Ps
ECM is still cranking after 3hrs and 15 minutes and still
only showing that the 617 digit is a composite.
What gives?
ECM will factor arbitrary composites. Your composite is far from arbitrary.
Can your algorithm factor RSA120? Nowadays, ECM can. (Not that you'd
want to, of course.)
Phil
--
The fact that a believer is happier than a sceptic is no more to the
point than the fact that a drunken man is happier than a sober one.
The happiness of credulity is a cheap and dangerous quality.
-- George Bernard Shaw (1856-1950), Preface to Androcles and the Lion
.
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