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Old 2017-01-30, 14:13   #1
ET_
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"Luigi"
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Default 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

Last fiddled with by ET_ on 2017-01-30 at 14:54
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Old 2017-02-20, 12:02   #2
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Default 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)!!!!
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Old 2017-02-21, 09:04   #3
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86229*2^82319+1 is a Factor of xGF(82318,10,3)!!!!

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

Adolf
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Old 2018-01-02, 18:39   #4
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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...
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Old 2018-06-03, 02:23   #5
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Finished n=10000-10999 for k=269e6-300e6:

289602611*2^10879+1 is a Factor of GF(10876,10)!!!!
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Old 2019-04-19, 08:48   #6
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A new Generalized Fermat has been found
2788032524288 + 1
While not the largest Generalized Fermat it is the largest prime for 2019 with 3'379,193 digits.

Congratulations to user "Sheep"

Last fiddled with by ET_ on 2019-06-02 at 18:08
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Old 2019-06-01, 09:02   #7
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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)!!!!
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Old 2019-06-02, 01:49   #8
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Quote:
Originally Posted by ET_ View Post
A new Generalized Fermat has been found
2788032524288 + 1
While not the largest Generalized Fermat it is the largest prime for 2019 with 3'379,193 digits.

Congratulations to user "Sheep"
That would be 2788032524288 + 1 or 2788032^524288 + 1, as reported here, with the official announcement here.



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

Last fiddled with by ET_ on 2019-06-02 at 09:24 Reason: Corrected a tyop on teh factro
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Old 2019-06-02, 12:09   #9
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Quote:
Originally Posted by Dr Sardonicus View Post
That would be 2788032524288 + 1 or 2788032^524288 + 1, as reported here, with the official announcement here.



Thank you for the correction, the factor should look right now
Luigi
Looks OK in the quotation in my post. 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

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Old 2021-02-10, 13:46   #10
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Default Proth prime GFN divisibilities

Here are a couple of GFN divisibilities for a new large Proth prime reported on PrimesPages. Reporting here because I don't have the ability to post user comments on PrimesPages, likely because I have not yet submitted a new prime.

27 * 2^12184319 + 1 divides GF(12184313,8)
27 * 2^12184319 + 1 divides xGF(12184318,10,9)
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Old 2021-02-10, 18:03   #11
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Quote:
Originally Posted by Gary View Post
Here are a couple of GFN divisibilities for a new large Proth prime reported on PrimesPages. Reporting here because I don't have the ability to post user comments on PrimesPages, likely because I have not yet submitted a new prime.

27 * 2^12184319 + 1 divides GF(12184313,8)
27 * 2^12184319 + 1 divides xGF(12184318,10,9)
I can post these (and attribute to you... I think. No it appears that I can't, and cannot with Anonymous either)
Generally it is with &comment=1 added to the URL, by hand.
You can email to C.C.
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