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 2008-03-10, 18:19 #1 ET_ Banned     "Luigi" Aug 2002 Team Italia 17·283 Posts New Fermat factor! I just received this email from Maximilian Pacher: Code: Hello! My name is Maximilian Pacher, I am from austria and I have interesting news. After 7 years of searching, I am very happy to find my second Fermat-factor. Now I proudly present my second Fermat-Factor: 351276975*2^1719+1 is a Factor of F1710!!!! This is the first factor this year if I remember correctly. I have found him on March 9th, 2008 with the three programs "NewPGen", "PRP" and "WinPFGW". The last program wrote this: 351276975*2^1719+1 is a Factor of F1710!!!! (0.032000 seconds) If you have questions, please mail me! With regards, PACHER MAXIMILIAN
 2008-03-10, 18:49 #2 Andi47     Oct 2004 Austria 2·17·73 Posts Congratulations to Maximilian!!
2008-03-10, 18:53   #3
R.D. Silverman

Nov 2003

22·5·373 Posts

Quote:
 Originally Posted by Andi47 Congratulations to Maximilian!!
Indeed. Very nice.

The next thing to do is test the cofactor.

2008-03-10, 18:59   #4
Andi47

Oct 2004
Austria

2·17·73 Posts

Quote:
 Originally Posted by R.D. Silverman The next thing to do is test the cofactor.
Any chance to finish this before the end of the century?

Last fiddled with by Andi47 on 2008-03-10 at 18:59

2008-03-11, 01:08   #5
R.D. Silverman

Nov 2003

22·5·373 Posts

Quote:
 Originally Posted by Andi47 Any chance to finish this before the end of the century?
Sure........ The same chance as being able to find storage for 2^1710
bits.........

2008-03-11, 07:25   #6
henryzz
Just call me Henry

"David"
Sep 2007
Cambridge (GMT/BST)

5·1,171 Posts

Quote:
 Originally Posted by R.D. Silverman Sure........ The same chance as being able to find storage for 2^1710 bits.........
i think u mean 2^2^1710 bits

2008-03-11, 11:51   #7
R.D. Silverman

Nov 2003

22·5·373 Posts

Quote:
 Originally Posted by henryzz i think u mean 2^2^1710 bits
Henry. I suggest that you stop posting here. Everytime you

If N = 2^x, then N has x (+1) bits.

2008-03-11, 12:01   #8
retina
Undefined

"The unspeakable one"
Jun 2006
My evil lair

17E316 Posts

Quote:
 Originally Posted by R.D. Silverman Sure........ The same chance as being able to find storage for 2^1710 bits.........
We could use storage stolen from another (few gozillion) parallel universe(s). I don't see the problem

2008-03-11, 12:56   #9
xilman
Bamboozled!

"𒉺𒌌𒇷𒆷𒀭"
May 2003
Down not across

29·367 Posts

Quote:
 Originally Posted by R.D. Silverman Sure........ The same chance as being able to find storage for 2^1710 bits.........
Not necessarily. One test, which does not require a large amount of storage and could be completed before the end of the century is the same as the one which proved F_1710 composite. Finding a second factor would undoubtedly prove the cofactor composite.

Proving the cofactor to be prime, on the other hand, would appear to be a non-trivial task given known algorithms and technology.

Paul

2008-03-11, 13:07   #10
R.D. Silverman

Nov 2003

11101001001002 Posts

Quote:
 Originally Posted by xilman Not necessarily. One test, which does not require a large amount of storage and could be completed before the end of the century is the same as the one which proved F_1710 composite. Finding a second factor would undoubtedly prove the cofactor composite. Proving the cofactor to be prime, on the other hand, would appear to be a non-trivial task given known algorithms and technology. Paul
I would say that "non-trivial" is an understatement........

We can't even test F33, and even the status of the F25 cofactor is
unknown.

 2008-03-11, 15:46 #11 akruppa     "Nancy" Aug 2002 Alexandria 2,467 Posts > even the status of the F25 cofactor is unknown. This seems to be an entirely curable situation. Alex

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