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-   -   New Fermat factors (https://www.mersenneforum.org/showthread.php?t=15449)

 c10ck3r 2012-11-07 01:39

[QUOTE=rogue;317300]I see that this wasn't posted:

1207*2^410108+1 divides F410105

discovered by Scott Brown via [URL="http://prpnet.mine.nu:12000/user_gfns.html"]PrimeGrid's PPSElow project on PRPNet[/URL][/QUOTE]

"We" realize this was found 7 years ago, right?

 rogue 2012-11-07 02:06

[QUOTE=c10ck3r;317322]"We" realize this was found 7 years ago, right?[/QUOTE]

Sorry, I hadn't looked it up.

 Batalov 2012-11-07 02:12

PPSE low found some xGFs, too and they (except one) also seem to be known.
[CODE]> awk '\$5>390000 && \$5<450000 && \$4>1000' GFNfacs.
8 1 417447 1257 417451 2007 Benson
10 1 395563 3021 395564 2012 Matillek
12 5 417896 1949 417897 2008 Harvey
12 5 440260 1473 440261 2008 Harvey

However this one appears to be new:
+---------------------------------------------------------+
| GFN Divisors for User SysadmAtNbg |
|---------------------------------------------------------|
| Tested Number | Divides GFN | Date Reported ||
|---------------+---------------+------------------------+|
|4869*2^413322+1|xGF(413321,7,6)|2012-10-01 00:26:51 GMT ||
|---------------------------------------------------------|
| User SysadmAtNbg has found 1 GFN divisor |
+---------------------------------------------------------+
[/CODE]

 Batalov 2012-11-09 16:55

5505161*2^9449+1 is a Factor of F9447

(newpgen+pfgw, 9000<N<=10000, 5e6<k<10e6; popped out tonight)

 ATH 2012-11-10 00:41

Congratulations!! Very nice find. :bow: :cool: :lol: :wacky: :bounce:
Amazing the next factor is found with newpgen and pfgw after all the recent factoring with mmff :big grin: :big grin:

 Batalov 2012-11-10 00:48

I can only repeat after Gary Player:
"The more I practice, the luckier I get."

I am not giving up on mmff (especially, the 147<N<177 range)!

 philmoore 2012-11-12 21:02

Congratulations, Serge! Looks like this is your first Fermat factor. I'm betting it won't be your last.

 LaurV 2012-11-13 01:43

Very good job Batalov! Congrats and kutgw!

 Batalov 2012-11-13 16:53

one more!

30967*2^106436+1 is a Factor of F106432

(from the next range for GFN:
100000<N<=120000, 20000<k<40000)

 firejuggler 2012-11-13 17:14

i'm jealous...
so far, 2 fermat, one wich is already know
11925*2^80011+1 is a Factor of GF(80004,12)!!!!
23705*2^80025+1 is a Factor of xGF(80024,10,3)!!!!

 aketilander 2012-11-13 17:16

[QUOTE=Batalov;318174]30967*2^106436+1 is a Factor of F106432

(from the next range for GFN:
100000<N<=120000, 20000<k<40000)[/QUOTE]

Its increadible that you found another one in such a short time!!

Congratulations!!! Did you use mmff this time?

:curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc::curtisc:

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