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 2022-03-24, 21:17 #1 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 5·233 Posts https://mersennus.net website is up I was able to navigate to the web page https://mersennus.net/fibonacci/index.html. I have started my Maple application to find prime factorization of F_1423. This positive integer, of unknown character, (prime or composite) is approximately 1.1*10^297. Have a nice day. Matthew
2022-03-24, 21:56   #2
charybdis

Apr 2020

32216 Posts

Quote:
 Originally Posted by MattcAnderson I was able to navigate to the web page https://mersennus.net/fibonacci/index.html. I have started my Maple application to find prime factorization of F_1423. This positive integer, of unknown character, (prime or composite) is approximately 1.1*10^297. Have a nice day. Matthew

So you've checked that site and found that F1423 is the smallest Fibonacci number whose full factorization is not known, and yet you're not even sure if it's prime or composite?? The Fibonacci holes page even tells you that there is a composite cofactor of 276 digits!

You're aware that there are programs much faster than Maple for factorization, and yet you refuse to use them. Do you somehow think that so little effort has been expended on factoring the smallest unfactored Fibonacci number that your laziness won't matter? You found out about a gunfight and decided to bring a knife rather than your gun because you couldn't be bothered to unlock the cabinet where you keep it.

If you want to factor this number, download GMP-ECM and run curves with B1=260M. There are plenty of instructions on the forum for doing this. As some of the admins like to say: write less, read more.

 2022-03-24, 22:50 #3 MattcAnderson     "Matthew Anderson" Dec 2010 Oregon, USA 5×233 Posts So, from web page https://mersennus.net/fibonacci/fibonacci.txt I find that F_1423 is the smallest Fibonacci number that is not fully factored. The web page shows that 12854269213 divides F_1423 and 90131277469 divides F_1423. Once these factors are removed, the remaining composite number has 276 digits. (A C276) So, I tried to find a windows executable file (an application file) that would run GMP-ECM, unsuccessfully. I found links to factoring programs, but they were only source code, and I do not have a compiler set up. Let me know where to find ECM for windows.
2022-03-24, 23:38   #4
storm5510
Random Account

Aug 2009
Not U. + S.A.

25·71 Posts

Quote:
 Originally Posted by MattcAnderson ...Let me know where to find ECM for windows.
You can find GMP-ECM here.

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