20200108, 14:50  #1 
(loop (#_fork))
Feb 2006
Cambridge, England
13·491 Posts 
Next plausible Lucas/Fibonacci/similar milestones
By Easter we should have finished the Fibonacci/Lucas numbers to 200 digits, and the Fibonacci/Lucas numbers with quartic polynomials to difficulty 250; the ones with sextic polynomials to difficulty 275 are already done.
This feels as if maybe I should move away from Q[sqrt(5)]; any ideas of a good direction to go in? Spending a year of my own compute time on a GNFS(210) isn't immediately appealing. Last fiddled with by fivemack on 20200108 at 15:11 
20200108, 16:09  #2 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
9398_{10} Posts 
Perhaps, a factorization catalog of Lehmer numbers?

20200108, 16:40  #3  
Nov 2003
1D24_{16} Posts 
Quote:


20200108, 16:51  #4  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2^{2}×2,663 Posts 
Quote:
An update to https://www.brnikat.com/nums/cullen_...utor_info.html is long overdue, given that both SSW and Rob Hooft have sent in factors recently, but a few G18x and S25x are still available. Note that the latter do not have particularly good polynomials but your rather impressive resources should be able to breeze through either class at a frequency approaching a microHertz. IΒ΄m running CADONFS on 11,244_C218 with a naive difficulty of S256.5 but that is one of the bad polynomials and it will take me several more months, not least because only two machines are running part time on it. I can provide CADO server details on request if anyone wishes to contribute. Last fiddled with by xilman on 20200108 at 16:53 

20200108, 17:50  #5  
Bamboozled!
"πΊππ·π·π"
May 2003
Down not across
2^{2}·2,663 Posts 
Quote:
Quote:


20200108, 18:44  #6 
Nov 2003
2^{2}·5·373 Posts 

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