20201119, 07:55  #56 
Romulan Interpreter
Jun 2011
Thailand
22340_{8} Posts 

20201119, 10:33  #57 
"Jeppe"
Jan 2016
Denmark
A8_{16} Posts 
And the difference between F0 and pi is negative. /JeppeSN

20201119, 15:50  #58  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
11·463 Posts 
Quote:
The odds of n being prime ~1/ln(n), are very much against your assertion of primality for MMp51*. Now could we all please return to ontopic for the thread? Perhaps some comments on posts 12 or 13? I read in https://www.mersenneforum.org/showpo...1&postcount=64 that Ernst is making progress in coding P1 factoring in Mlucas v20. Last fiddled with by kriesel on 20201119 at 15:53 

20201127, 02:33  #59  
Feb 2019
China
59 Posts 
Quote:
maybe this is answer 

20210101, 01:56  #60 
Aug 2005
Seattle, WA
2^{2}·7·61 Posts 

20210102, 01:29  #61 
"Alexander"
Nov 2008
The Alamo City
2^{2}·149 Posts 
Yeah, that's off slightly. (Several orders of magnitude, in fact.) It's more like 2^(2^331) iterations.
Last fiddled with by Happy5214 on 20210102 at 01:35 
20210102, 10:58  #62 
Romulan Interpreter
Jun 2011
Thailand
2^{5}·5·59 Posts 
Yep, in his mind, 2^{9}/2 is not 2^{8}, but it is 2^{4.5}
Last fiddled with by LaurV on 20210102 at 10:59 
20210102, 13:24  #63 
Nov 2016
101100000011_{2} Posts 
I think that F33 may be prime!!!
Since (see http://www.prothsearch.com/fermat.html) F20 was proven composite in 1987, and F24 was proven composite in 1999, and the largest known prime number in the electronic era has grown roughly as a double exponential function of the year, and indeed the Fermat numbers have double exponential function behavior, thus, the Fermat number Fn may be a linear function of the year (if the Fn is composite and with no small prime factor (like F20, F24, and F33), or if the Fn is prime, which year the primality of Fn will be known): Code:
F20 = 1987 ** F21 = 1990 F22 = 1993 F23 = 1996 F24 = 1999 ** F25 = 2002 F26 = 2005 F27 = 2008 F28 = 2011 F29 = 2014 F30 = 2017 F31 = 2020 F32 = 2023 F33 = 2026 
20210102, 15:56  #64 
"Viliam FurÃk"
Jul 2018
Martin, Slovakia
2^{2}×113 Posts 

20210102, 16:26  #65 
Mar 2019
157 Posts 

20210102, 16:27  #66  
Feb 2017
Nowhere
2·7·17·19 Posts 
Quote:
I am reminded of a (then) fellow grad student who told me of a problem his actuarial science prof had assigned, as an exercise in showing the unsustainability of exponential growth: Given the current population, and assuming the population grows at 1% per year, (unrealistically assuming sufficient inflow of resources, and making some assumption about how densely human beings can be packed in) calculate how long it would be until the human population were literally expanding at the speed of light. Meanwhile, back in the real world,as documented here, a factor for F_{103} has been found: Quote:

