20120723, 10:10  #1 
Tribal Bullet
Oct 2004
3489_{10} Posts 
A next big thing
So what number is everyone going to complain about being unfactored after this one? We'll need a candidate that can support at least five years of complaining, and preferably much more.

20120723, 10:43  #2  
Just call me Henry
"David"
Sep 2007
Cambridge (GMT/BST)
2^{2}×3×479 Posts 
Quote:
When do you guess this will be factored? 

20120723, 10:43  #3  
Noodles
"Mr. Tuch"
Dec 2007
Chennai, India
3·419 Posts 
Quote:
Not that curious like such as for 2,1061c320 which going underwent sieving for one year, linear algebra for two months to be precise enough I listed It since you asked for an opinion / a suggestion only actually ^{ [SUP][SUP][SUP][SUP][SUP]Much easier candidates being listed below as follows L1277 L1279 13,269 2,1193 7,379Β± 2,929 2,947Β± 2,991Β± 2,1117 [STRIKE]6,299 6,298+ [/STRIKE]}[/SUP][/SUP][/SUP][/SUP][/SUP]^{[SUP][SUP][SUP][SUP][SUP][STRIKE][COLOR=White] 2,1123+ L1249 3, 607+[/COLOR][/STRIKE]}[/SUP][/SUP][/SUP][/SUP][/SUP] Last fiddled with by Raman on 20120723 at 10:55 

20120723, 14:58  #4 
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2·3·1,699 Posts 

20120723, 15:50  #5 
Romulan Interpreter
Jun 2011
Thailand
2^{2}·7·11·29 Posts 
Now to show you that I have learned my lesson from the past: M1061 was a SNFS job, but I beleive RSA numbers are not SNFSable, so that would be a GNFS job, and it may be more complex then the previous suggested by others. Am I right? (I would prefer RSA numbers too!)

20120723, 16:01  #6  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
1011011110111_{2} Posts 
Quote:
But as to the suggestion for RSA1024: It should be easy if we use LaurV's method of getting the list of all primes at around the 512bit level. Since those RSA numbers are guaranteed to be constructed with approximately equal sized primes then half our work has already been done by eliminating all those pesky smaller primes before we even start! Oh, and I think this hasn't been asked yet so I'll go ahead and ask on behalf of everyone else: Are we there yet? 

20120723, 16:36  #7 
Romulan Interpreter
Jun 2011
Thailand
2^{2}×7×11×29 Posts 
Hahaha! Ten points retina! (I didn't expect that!)

20120723, 17:21  #8 
Tribal Bullet
Oct 2004
3·1,163 Posts 
I thought of RSA1024, but the factorization of RSA1024 is not holding up some momentous factor table completion accomplishment or other. Of course M1061 isn't either, but its replacement needs to aspire to a higher purpose than 'all your crypto are belong to us'

20120723, 17:32  #9  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2×3×1,699 Posts 
Quote:
Think if all the bragging rights too. Kilobit RSA protects one hell of a lot of money in the Real World. Suddenly, a lot of people are going to get seriously concerned. Paul 

20120723, 17:44  #10 
If I May
"Chris Halsall"
Sep 2002
Barbados
5^{2}×373 Posts 

20120723, 17:50  #11 
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2×3×1,699 Posts 

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