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Re: Factor a 2048-bit number
Could be a Mersene prime. The largest prime mersenne found is several
hundred thousand digits long. Don't know how knowing it was a mersenne
would help the factorization though.
amp
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From: Antonomasia <[email protected]>
Subject: Re: Factor a 2048-bit number
Date: Fri, 21 Nov 1997 18:45:09 +0000 (GMT)
To: [email protected]
> Monty Cantsin
>
> > Hint 2: There is an observation which suggests the number may be
> > factored. A one word hint will reveal this observation.
>
> > (I want to hold off on Hint 3 for a little while in case somebody is
> > already working on the problem. If anybody wants me to withhold Hint
> > 3, please post a message to the list and I may do so. It seems to me
> > that it will be more fun to solve without Hint 3.)
>
> > Wouldn't it be neat to actually factor a 2048-bit number which was the
> > product of two large primes?
>
> The wording of the original challenge suggested there was a trick to
> this particular factorisation. My guess that q=p+2 was wrong, so
> square rooting (cheap) and using the 2 nearest odd integers was a loser.
>
>
> --
> ##############################################################
> # Antonomasia [email protected] #
> # See http://www.notatla.demon.co.uk/ #
> ##############################################################
>
---------------End of Original Message-----------------
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Name: amp
E-mail: [email protected]
Date: 11/21/97
Time: 14:51:33
Visit me at http://www.pobox.com/~amp
==
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#!/bin/perl -sp0777i<X+d*lMLa^*lN%0]dsXx++lMlN/dsM0<j]dsj
$/=unpack('H*',$_);$_=`echo 16dio\U$k"SK$/SM$n\EsN0p[lN*1
lK[d2%Sa2/d0$^Ixp"|dc`;s/\W//g;$_=pack('H*',/((..)*)$/)
==
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