Hi

It is not an NP complete problem, it has been one of the open problems
for quite some time.  And by the way determining whether a number is
prime or not is surely not NP, it is in P. This is not an approximate
algorithm or anything. Here is the link to the paper:

http://www.cse.iitk.ac.in/users/manindra/primality_original.pdf

Also read the last paragraph on this link:
http://www.guajara.com/wiki/en/wikipedia/c/co/co_np.html

-Dhyanesh

On 11/30/05, SUDARSHAN IYENGAR <[EMAIL PROTECTED]> wrote:
>
> factoring is an np complete problem. No change of having a simple algorithm
> for it.
>
> -sudarshan
>
> ----- Original Message -----
> From: "Dhyanesh" <[EMAIL PROTECTED]>
> To: <algogeeks@googlegroups.com>
> Sent: Wednesday, November 30, 2005 7:47 AM
> Subject: [algogeeks] Re: how to find Previous Prime number?
>
>
>
> I believe there is an N^12 algorithm for integer factorization ... so
> it isnt all that hard i think ...
>
> On 11/29/05, SUDARSHAN IYENGAR <[EMAIL PROTECTED]> wrote:
> >
> > primality testing is a very very very tough topic to discuss...
> >
> >
> > There is no single algorithm for primality testing... and all that is
> known
> > so far is nothing but intelligent brute forcing...
> >
> > try peeping through http://primepages.org more like a bible for prime
> number
> > lovers.
> >
> > -Sudarshan
> >
> >
> >
> > The hardest thing to understand is why we can
> > understand anything at all
> >                                       - Einstein
> > ----- Original Message -----
> > From: "Venkatesh Dayalan" <[EMAIL PROTECTED]>
> > To: <algogeeks@googlegroups.com>
> > Sent: Tuesday, November 29, 2005 7:53 PM
> > Subject: [algogeeks] Re: how to find Previous Prime number?
> >
> >
> > thanks for the info....
> > but i am looking into the logic of finding the previous prime number...
> >
> >
> > On 11/29/05, SUDARSHAN IYENGAR <[EMAIL PROTECTED]> wrote:
> > >
> > >
> > > hey well... you must have a look at this package "pari gp"
> > >
> > > try googling and you can download this package, its very small and is
> the
> > > best of its kind available till date... You can also get the code for
> the
> > > same...
> > >
> > > -Sudarshan
> > >
> > >
> > > ----- Original Message -----
> > > From: <[EMAIL PROTECTED]>
> > > To: "Algorithm Geeks" <algogeeks@googlegroups.com>
> > > Sent: Tuesday, November 29, 2005 7:45 PM
> > > Subject: [algogeeks] how to find Previous Prime number?
> > >
> > >
> > > >
> > > > Hi everbody
> > > > Given a number which can be as long as 10000 digits, is there a method
> > > > to find the previous prime number to it?
> > > >
> > > > ~venkatesh
> > > >
> > >
> > >
> >
> >
> > --
> > "There is no Spoon"
> >
> > "asato ma sad gamaya     - From delusion lead me to truth
> > tamaso ma jyotir gamaya  - From darkness lead me to light
> > mrtyor mamrtam gamaya" - From death lead me to immortality
> >
> >
>
>

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