New Generalized Fermat factors

[rogue]

Originally Posted by xilman

¿Que?

ITYM "any postive integer to the power 0 is 1".

Not true, 0^0 is indeterminate.

[rajula]

Originally Posted by rogue

Not true, 0^0 is indeterminate.

The usual convention is that 0 is not a positive number.

[Batalov]

Originally Posted by xilman

¿Que?

ITYM "any postive integer to the power 0 is 1".

Oy vey! I stand corrected. ...brainfart happens!

[xilman]

Originally Posted by rajula

The usual convention is that 0 is not a positive number.

I should have specified strictly positive to avoid that ambiguity.

[rajula]

After all the hunting for the gfn6-factor and after eventually finding one, of course the next (more random) find also has to be gfn6:

284601*2^43484+1 is a Factor of GF(43480,6)

[houding]

Found 2

1464609*2^25819+1 is a Factor of GF(25814,6)!!!!
2709777*2^25242+1 is a Factor of xGF(25241,12,11)!!!!

Adolf

[LaurV]

If I didn't do something wrong, and if I am looking to the right tables ar protsearch, this does not seem to be there:
21*2^13344+1 is a Factor of xGF(13343,5,4)
Scrap that. I just saw that there is an "original" table and a "new" table. I was wondering how such a small pari find escaped..

BTW, where the links from uni-hamburg moved? They all seem broken.

[Batalov]

Uni Hamburg links were unstable for years and it is my understanding that W.Keller's important links are now hosted at
http://www.prothsearch.net/fermat.html
http://www.prothsearch.net/GFNfacs.html
http://www.prothsearch.net/GFNsmall.html
http://www.prothsearch.net/GFN03.html (also 05, 06, 10 and 12)

Now, the G.Loeh's pages (for Generalized Cullen numbers) are harder too find (read: I cannot find them anymore).
They used to be on the same server ( http://www1.uni-hamburg.de/RRZ/G.Loeh/gc/ )
Generalized Woodall numbers are still hosted by S.Harvey and appear to be alive.

[rogue]

Originally Posted by Batalov

Uni Hamburg links were unstable for years and it is my understanding that W.Keller's important links are now hosted at
http://www.prothsearch.net/fermat.html
http://www.prothsearch.net/GFNfacs.html
http://www.prothsearch.net/GFNsmall.html
http://www.prothsearch.net/GFN03.html (also 05, 06, 10 and 12)

Now, the G.Loeh's pages (for Generalized Cullen numbers) are harder too find (read: I cannot find them anymore).
They used to be on the same server ( http://www1.uni-hamburg.de/RRZ/G.Loeh/gc/ )
Generalized Woodall numbers are still hosted by S.Harvey and appear to be alive.

Gunther sent me a new link a number of weeks ago. I'll see if I can dig it up. Daniel Hermle was supposed to get his site back on-line (according to Gunther), but that hasn't happened to the best of my knowledge.

I've asked Steven to take on Generalized Cullen above b = 100, but he hasn't responded. I don't know if his ISP is filtering my e-mail, if he is ignoring me, or if he is too busy.

[rogue]

Here is the correct link: http://www.loeh.name/guenter/gc/status.html

[LaurV]

Originally Posted by Batalov

Uni Hamburg links were unstable for years and it is my understanding that W.Keller's important links are now hosted at
http://www.prothsearch.net/fermat.html
http://www.prothsearch.net/GFNfacs.html
http://www.prothsearch.net/GFNsmall.html
http://www.prothsearch.net/GFN03.html (also 05, 06, 10 and 12)

Now, the G.Loeh's pages (for Generalized Cullen numbers) are harder too find (read: I cannot find them anymore).
They used to be on the same server ( http://www1.uni-hamburg.de/RRZ/G.Loeh/gc/ )
Generalized Woodall numbers are still hosted by S.Harvey and appear to be alive.

Yes, that was the page (your second link) I was looking at, in my former post. The factor my pari found (kinda random experimenting, I am trying to learn this things right now) was missing there, then I found out that a lot of small factors are missing, then I start clicking around and I ran into this: http://www.prothsearch.net/JFougGFNf.html which contains all the older, smaller factors. Just to add to the link list, good to know.