20201005, 05:22  #12  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
1342_{16} 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
2·5·17·29 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
1011111000101_{2} 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
3B_{16} Posts 
Quote:
1/(2^33*log(2))=3.86723328252e10, so it must be a composite number ! 

20201111, 00:58  #18  
"Ben"
Feb 2007
3,371 Posts 
Quote:
Last fiddled with by bsquared on 20201111 at 00:58 

20201111, 02:02  #19 
Mar 2019
2^{4}·3^{2} Posts 

20201111, 02:04  #20 
"Curtis"
Feb 2005
Riverside, CA
2·2,339 Posts 

20201111, 02:33  #21 
Feb 2019
China
59 Posts 

20201111, 02:34  #22 
Feb 2019
China
111011_{2} Posts 
