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Endgame124

Senior member
Feb 11, 2008
974
706
136
Found another

Congratulations! Our records indicate that a computer registered by you has found a unique prime number. This computer is assigned to the PPS (LLR). Since candidates on this subproject are not large enough to report to the Top 5000 Primes List, your prime is visible immediately.

Workunit 1168283411 : 8351*2^2039819+1 (614051 digits)
 

Icecold

Golden Member
Nov 15, 2004
1,136
1,076
146
2 more, 11th and 12th -

On an i9-9960x - Workunit 1170441101 : 5565*2^2046636+1 (616103 digits)

On a Dual Xeon Platinum 8259CL - Workunit 1170959559 : 7087*2^2048300+1 (616604 digits)
 
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StefanR5R

Elite Member
Dec 10, 2016
6,341
9,760
136
Congrats to all you prime finders, seems I am just clearing the field of all the non-primes
While you are getting all those composite candidates out of the way of your fellow primefinders, they in turn are getting all the puny non-t5k primes out of your way. ;-)
 
Reactions: Skillz

Markfw

Moderator Emeritus, Elite Member
May 16, 2002
26,820
15,820
136
Why are all these going so slow ? I have 100 gbit upload/download




And this is with many of my Genoa, they are not running that many tasks, as they are all backlogged in uploading ! 50% of load, due to "uploading"
 
Last edited:

StefanR5R

Elite Member
Dec 10, 2016
6,341
9,760
136
Just a moment ago it took me 14 seconds to upload the fifteen result files of one task. Which is good, given my wonky Internet link. That's with the stock <max_file_xfers_per_project>2</max_file_xfers_per_project>; it might go quicker with more xfers in flight. The files are small but numerous and the connection overhead therefore a significant part of the overall time needed for the transfers.

www.primegrid.com is hosted at Hetzner. The datacenter is in Germany AFAIK, and nslookup says that I am just 14 hops away. (6 of them internal to my ISP, and another 4 of them internal to Hetzner.) You on the other hand need to ship your results over the Atlantic. :-P

Maybe another Russian freighter slipped an anchor over a transoceanic cable? It's what they are doing here in the Baltic Sea as a pastime.
 
Reactions: TennesseeTony

Markfw

Moderator Emeritus, Elite Member
May 16, 2002
26,820
15,820
136
Just a moment ago it took me 14 seconds to upload the fifteen result files of one task. Which is good, given my wonky Internet link. That's with the stock <max_file_xfers_per_project>2</max_file_xfers_per_project>; it might go quicker with more xfers in flight. The files are small but numerous and the connection overhead therefore a significant part of the overall time needed for the transfers.

www.primegrid.com is hosted at Hetzner. The datacenter is in Germany AFAIK, and nslookup says that I am just 14 hops away. (6 of them internal to my ISP, and another 4 of them internal to Hetzner.) You on the other hand need to ship your results over the Atlantic. :-P

Maybe another Russian freighter slipped an anchor over a transoceanic cable? It's what they are doing here in the Baltic Sea as a pastime.
I am paying for 100/100. But here is one result (and I tried many times and they all do the same)
 

Markfw

Moderator Emeritus, Elite Member
May 16, 2002
26,820
15,820
136
Just a moment ago it took me 14 seconds to upload the fifteen result files of one task. Which is good, given my wonky Internet link. That's with the stock <max_file_xfers_per_project>2</max_file_xfers_per_project>; it might go quicker with more xfers in flight. The files are small but numerous and the connection overhead therefore a significant part of the overall time needed for the transfers.

www.primegrid.com is hosted at Hetzner. The datacenter is in Germany AFAIK, and nslookup says that I am just 14 hops away. (6 of them internal to my ISP, and another 4 of them internal to Hetzner.) You on the other hand need to ship your results over the Atlantic. :-P

Maybe another Russian freighter slipped an anchor over a transoceanic cable? It's what they are doing here in the Baltic Sea as a pastime.
So, I set that to 10, and all my problems went away ! Thanks !!!!
 

Markfw

Moderator Emeritus, Elite Member
May 16, 2002
26,820
15,820
136
well, surprise. I tried to use my laser printer, and the power circuit blew. I found out my printer uses 580 watts while printing ! So, no printing while all the computers are running 100%
 

Skillz

Golden Member
Feb 14, 2014
1,072
1,111
136
Found 3 more primes

Workunit 1169850917 : 7089*2^2044710+1 (615523 digits)

Workunit 1168191915 : 2181*2^2039548+1 (613969 digits)

And this one, but not really sure what it means. Something about it being a factor of a xGF or something.


Workunit 1170951442 : 7597*2^2048270+1 (616595 digits)
7597*2^2048270+1 is a Factor of xGF(2048269,7,3)!!!! (13435.766633 seconds) GFN testing completed for 7597*2^2048270+1
 

Ken g6

Programming Moderator, Elite Member
Moderator
Dec 11, 1999
16,523
4,391
75
And this one, but not really sure what it means. Something about it being a factor of a xGF or something.

Workunit 1170951442 : 7597*2^2048270+1 (616595 digits)
7597*2^2048270+1 is a Factor of xGF(2048269,7,3)!!!! (13435.766633 seconds) GFN testing completed for 7597*2^2048270+1
You found a prime that factors an Extended Generalized Fermat number. Those are rare. As you might guess from the name, numbers that factor Generalized Fermat numbers are rarer, and numbers that factor real Fermat numbers are rarer still!
 
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Endgame124

Senior member
Feb 11, 2008
974
706
136
You found a prime that factors an Extended Generalized Fermat number. Those are rare. As you might guess from the name, numbers that factor Generalized Fermat numbers are rarer, and numbers that factor real Fermat numbers are rarer still!
but... what does that mean?
 

Ken g6

Programming Moderator, Elite Member
Moderator
Dec 11, 1999
16,523
4,391
75
OK, I'll try again...


Fermat numbers are of the form 2^2^n+1. They may be prime, but only a few are known to be. Some others that were conjectured to be prime aren't, but they grow so large so quickly that most can't be tested directly. However, the primes we're finding here are relatively likely to be factors of Fermat numbers, which would prove the Fermat number they factor isn't prime.

It looks like generalized Fermat numbers here have a different base a, so they're a^2^n+1 where a isn't 2.

It looks like extended generalized Fermat numbers here are of the form a^2^n+b^2^n where neither a nor b has a common factor greater than 1. This sort of makes sense because when b is 1 the number becomes a regular generalized Fermat number.

So, here you found that 7597*2^2048270+1 is a prime factor of 7^2^2048269+3^2^2048269.
 

StefanR5R

Elite Member
Dec 10, 2016
6,341
9,760
136
T5k: Race to Remain/Regain (GFN16/PPSE)
On Saturdays, PrimeGrid member Omega is posting T5k progress versus PPSE progress there.
From yesterday's update:
  • PPSE's leading edge is 4,926 digits behind T5k's trailing edge.
  • Averaged over the past four weeks, T5k's trailing edge increased by 1,606/week and PPSE's leading edge by 2,486/week.
    If these speeds persisted, PPSE would be back in T5K in a little less than 40 days, way after PrimeGrid's Tour de Primes (neglecting that the TdP itself accelerates the speed at which T5k's trailing edge increases).
  • However, if we just consider the past week, T5k's trailing edge increased by 979 digits but PPSE's leading edge jumped up by 6,097 digits!
    If the coming week was the same, PPSE primes would become T5k material again within next week.
 

Icecold

Golden Member
Nov 15, 2004
1,136
1,076
146
Found on a Xeon Platinum 8461V - Workunit 1172129935 : 7601*2^2052071+1 (617739 digits)

Found on a 7900x - Workunit 1173251186 : 2095*2^2055696+1 (618830 digits)
 
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