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Sahaj
3:46 PM
Hi Peter.
And Martin.
2 hours later…
Martin Hopf
5:54 PM
Today I found a
43-digit prime factor of 3103^128+1
.
Peter
@MartinHopf Hi. I am depressed since despite considerable efforts , I only were able to find a 60 digit square number with digitsum 469 , some user reached 484 and wondered whether it is the maximum.
Martin Hopf
This factor was found with ECM (Edwards curve).
Peter
Do you have a good implementation of ECM working with PARI/GP (including the second step) , in particular efficient for large numbers ?
Martin Hopf
A great thanks to George Woltman for his latest release of
Prime95
!
Peter
I search a prime factor of $$2024^{2^n}+1$$ for $n=12,15,16,19,22,30,32\ and\ 35$.
Is the character known for n = 22 ?
Martin Hopf
6:07 PM
Maybe Prime95 gives you an answer.
Peter
How can I download this ? I only see some lines , but not a button for the download itself. And how does it run ?
Martin Hopf
To download 'Prime95', what is the operating system you use?
Peter
I only have windows , I could run it over the console.
Martin Hopf
Windows 32bit or 64 bit?
Peter
not sure , I think 32 , but 64 could work as well.
My version is however old.
Martin Hopf
6:14 PM
The link for for
Windows 32bit
.
And for
Windows 64bit
.
Peter
I see two windows. Who can I start a factorization or a primality test ?
Seems I am running a test routine
M1277 with Edwards curve.
How can I enter an own number ?
Martin Hopf
Sorry, I can't run this windows-build on linux.
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Martin Hopf's prime numbers
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