Hi Peter.

And Martin.

Today I found a 43-digit prime factor of 3103^128+1.

@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.

This factor was found with ECM (Edwards curve).

Do you have a good implementation of ECM working with PARI/GP (including the second step) , in particular efficient for large numbers ?

A great thanks to George Woltman for his latest release of Prime95!

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 ?

Maybe Prime95 gives you an answer.

How can I download this ? I only see some lines , but not a button for the download itself. And how does it run ?

To download 'Prime95', what is the operating system you use?

I only have windows , I could run it over the console.

Windows 32bit or 64 bit?

not sure , I think 32 , but 64 could work as well.

My version is however old.

The link for for Windows 32bit.

And for Windows 64bit.

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 ?

Sorry, I can't run this windows-build on linux.