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 ET_ 2017-01-30 14:13

gfn results

119252085*2^6162+1 is a Factor of GF(6160,10)!!!!
168888633*2^6189+1 is a Factor of xGF(6188,11,2)!!!!
(from Frederik Hermanns - N=6150-6200 - K: 100,000,000 - 200,000,000

 ET_ 2017-02-20 12:02

gfn range completed

N from 14,000 to 14,500 and k from 20,000,000 to 30,000,000 completed with pfgw and the switch -gx

Here are the extended factors:

20085603*2^14098+1 is a Factor of xGF(14097,9,5)!!!!
21704897*2^14499+1 is a Factor of xGF(14498,9,5)!!!!
28371113*2^14393+1 is a Factor of xGF(14392,7,2)!!!!

 houding 2017-02-21 09:04

86229*2^82319+1 is a Factor of xGF(82318,10,3)!!!!

17105181*2^14973+1 is a Factor of xGF(14969,11,5)!!!!

 Batalov 2018-01-02 18:39

120769*2^72390+1 is a Factor of GF(72389,3)
(plus some xGFs)

The bigger boat gets more fish, but still no tuna this year...

 rogue 2018-06-03 02:23

Finished n=10000-10999 for k=269e6-300e6:

289602611*2^10879+1 is a Factor of GF(10876,10)!!!!

 ET_ 2019-04-19 08:48

A new Generalized Fermat has been found
2788032[sup]524288[/sup] + 1
While not the largest Generalized Fermat it is the largest prime for 2019 with 3'379,193 digits.

Congratulations to user "Sheep"

 ET_ 2019-06-01 09:02

I completed the following GFN-xGF range :

5600 <= N <= 5699 - 1,200,000,000 < K < 2,500,000,000

and found the following factors:

2491340445*2^5654+1 is a Factor of xGF(5652,11,10)!!!!
1755293137*2^5672+1 is a Factor of xGF(5671,8,3)!!!!
2004304135*2^5672+1 is a Factor of xGF(5671,7,2)!!!!
1982981535*2^5675+1 is a Factor of xGF(5674,8,7)!!!!

 Dr Sardonicus 2019-06-02 01:49

[QUOTE=ET_;514101]A new Generalized Fermat has been found
2788032[sup]524288[/sup] + 1
While not the largest Generalized Fermat it is the largest prime for 2019 with 3'379,193 digits.

Congratulations to user "Sheep"[/QUOTE]

That would be 2788032[sup]524288[/sup] + 1 or 2788032^524288 + 1, as reported [url=https://www.primegrid.com/forum_thread.php?id=8560]here[/url], with the official announcement [url=https://www.primegrid.com/download/GFN-2788032_524288.pdf]here[/url].

:party:

Thank you for the correction, the factor should look right now :redface: :smile:
Luigi

 Dr Sardonicus 2019-06-02 12:09

[QUOTE=Dr Sardonicus;518321]That would be 2788032[sup]524288[/sup] + 1 or 2788032^524288 + 1, as reported [url=https://www.primegrid.com/forum_thread.php?id=8560]here[/url], with the official announcement [url=https://www.primegrid.com/download/GFN-2788032_524288.pdf]here[/url].

:party:

Thank you for the correction, the factor should look right now :redface: :smile:
Luigi[/QUOTE]
Looks OK [i]in the quotation in my post[/i]. As of now, the typo is still there in your post, though

I make so many typos, I have a Black Belt of transfinite degree

:missingteeth:

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