20201005, 05:22  #12  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
29×167 Posts 
I've put together a long post at https://www.mersenneforum.org/showpo...65&postcount=6 with estimates of run times, memory requirements, disk space, etc.
In a nutshell, Mlucas could do the Pepin test at 512M fft length, but run time is much too long on normal hardware. ECM and P1 software support for F33 may be a problem. Following are comments by Ernst Mayer regarding appropriate further factoring for F33, quoted by permission: Quote:
Last fiddled with by ewmayer on 20201007 at 22:29 Reason: Copied PMregardingp1 material from Off Topic thread to here, to encourage discussion. 

20201008, 20:56  #13 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
1001011101011_{2} Posts 
Several questions occur to me related to the preceding. Hopefully the top programmers and number theorists and most knowledgable Fermat subproject participants will weigh in.
TF:

20201110, 06:11  #14  
Feb 2019
China
59 Posts 
Quote:
https://www.mersenneforum.org/showthread.php?t=25155 why we can calculate 50 trillion digits of Pi ,but cannot test a PRP test on F33， F33 only has no more than 2700 billion digits 

20201110, 06:42  #15  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2·3^{4}·37 Posts 
Quote:
The difference is the iteration count. Did you see how many iterations for PI? Compare that to F33. Now do you see why? 

20201111, 00:37  #16  
Feb 2019
China
59 Posts 
Quote:
(F331)/2=2^4294967296 3^((F331)/2)=1(mod F33) <=> F33 is a prime number it needs 4294967296 iterations 50 Trillion Digits of Pi，50*10^12， 15digits per iteration，itneeds 50/15*10^12=3.3333*10^12 iteration, http://www.numberworld.org/ycruncher/#Algorithms 

20201111, 00:45  #17  
Feb 2019
China
59 Posts 
Quote:
1/(2^33*log(2))=3.86723328252e10, so it must be a composite number ! 

20201111, 00:58  #18  
"Ben"
Feb 2007
3,361 Posts 
Quote:
Last fiddled with by bsquared on 20201111 at 00:58 

20201111, 02:02  #19 
Mar 2019
8F_{16} Posts 

20201111, 02:04  #20 
"Curtis"
Feb 2005
Riverside, CA
2^{9}×3^{2} Posts 

20201111, 02:33  #21 
Feb 2019
China
111011_{2} Posts 

20201111, 02:34  #22 
Feb 2019
China
59 Posts 
