Re: Basically a sieve method, relation to quantum

From: Mark Nudelman (markn_at_greenwoodsoftware.com)
Date: 01/22/05


Date: Fri, 21 Jan 2005 16:54:49 -0800

jstevh@msn.com wrote:
> The original algorithm in my program, will, my current analysis shows,
> factor about 50% of the time, which is astounding.

I'm not sure why that's astounding. There are lots of algorithms that
factor numbers 100% of the time.

> I get a sense that some of you don't get it, so let's say you take
> some RSA challenge number, and calculate j and T, and factor them,
> and then run them through the algorithm.
>
> My research indicates you have a 50% chance of factoring the number.

Great, so try it on 7 RSA challenge numbers. You should have a probability
of 127/128 of factoring at least one of them.

But this is useful only if your algorithm can factor in polynomial time.

--Mark



Relevant Pages

  • Re: Factoring problem, my assertion revisited
    ... Rick Decker wrote: ... James' method factors M by factoring ... If he could factor even 1% of RSA ... some way other than just by running Harris's algorithm against M. ...
    (sci.math)
  • Re: Factoring problem, my assertion revisited
    ... Rick Decker wrote: ... James' method factors M by factoring ... If he could factor even 1% of RSA ... some way other than just by running Harris's algorithm against M. ...
    (sci.math)
  • Re: Factoring problem, my assertion revisited
    ... Rick Decker wrote: ... James' method factors M by factoring ... If he could factor even 1% of RSA ... some way other than just by running Harris's algorithm against M. ...
    (sci.crypt)
  • Re: Factoring problem, my assertion revisited
    ... Rick Decker wrote: ... James' method factors M by factoring ... If he could factor even 1% of RSA ... some way other than just by running Harris's algorithm against M. ...
    (sci.crypt)
  • Re: [Newbie] Prime factorization question
    ... > would still work for RSA, but with a far greater likelihood of failure, ... RSA Multiprime and the Takagi scheme. ... This translates into a well known factoring algorithm for ... Do you think this is an efficient algorithm for RSA sized numbers? ...
    (sci.crypt)