20211129, 14:43  #342  
Feb 2017
Nowhere
1100010111011_{2} Posts 
Quote:
From the Fermat Search News page: Quote:


20211129, 15:24  #343  
"Mark"
Apr 2003
Between here and the
23·307 Posts 
Quote:


20211129, 16:02  #344 
Banned
"Luigi"
Aug 2002
Team Italia
4859_{10} Posts 
Whops SORRY!!!
Nov 24th, 2021 New Fermat factor from Gary Gostin and FermatSearch! 205071338665 . 2^{1382}+1 is a Factor of F_{1379}!!! Gary Gostin discovered the fifth Fermat factor of this year! This was discovered on an Intel i99900K CPU with an RTX 2080 GPU running a new GPUbased factoring program. We now have 360 Fermat factors known, one for each degree of the circle! Congratulations to Gary from FermatSearch! Last fiddled with by Dr Sardonicus on 20211129 at 17:15 Reason: xignif topsy 
20211129, 18:52  #345 
Banned
"Luigi"
Aug 2002
Team Italia
43·113 Posts 

20211130, 04:30  #346 
"Gary Gostin"
Aug 2015
Texas, USA
2^{3}×3^{2} Posts 
The program is called “gfs” for GPU Fermat Search. It is a “Sieve + Trial Division” program that supports integers (trial divisors) up to 2046 bits and can search for factors of either Fermat numbers only or of Fermat numbers and GFNs (a^2^n + b^2^n). The sieve is performed by all cores of the CPUs, in parallel with the trial division calculations which are performed on the GPU. The program has 62 CUDA assembly libraries, one for integers of each multiple of 32 bits in size from 96 to 2048 bits. The libraries are generated by a separate program and contain a total of > 150K lines of CUDA assembly. As Luigi mentioned, gfs is still in development with a long list of tasks / issues to address. So far it has only been tested on Ubuntu with Pascal and Turing GPUs. Performance is currently 10x – 2x slower than mmff for 40 <= n <= 200, 40% to 20% faster than Feromantcuda for 200 <= n <= 600, and 30x to 6x faster than pmfs for 600 <= n <= 2000. (for each comparison performance vs n is ordered: 10x @ 40 increasing to 2x @ 200, etc).
Thanks! Last fiddled with by Gary on 20211130 at 04:35 
20230130, 19:29  #347 
"Mark"
Apr 2003
Between here and the
23×307 Posts 
173905799*2^15827+1 is a Factor of xGF(15823,7,5)!!!!
173582187*2^15931+1 is a Factor of GF(15928,6)!!!! 
20230218, 11:08  #348 
Banned
"Luigi"
Aug 2002
Team Italia
43·113 Posts 
New factor found!
Feb 15th, 2023
New Fermat factor from Gary Gostin and FermatSearch! 623,619,365,837 . 2^{1495}+1 is a Factor of F_{1493}!!! Gary Gostin discovered the first Fermat factor of this year, after a dry spell lasted 14 months! This factor was discovered on HP Z640 workstation with an E52690 v4 CPU and RTX 4070 Ti GPU running gfs. We now have 361 Fermat factors! Congratulations to Gary from FermatSearch! Last fiddled with by Dr Sardonicus on 20230218 at 13:57 Reason: fix subscript tag 
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