Join PrimeGrid
Returning Participants
Community
Leader Boards
Results
Other
drummers-lowrise
|
Message boards :
Generalized Fermat Prime Search :
Consecutive GFN's
| Author |
Message |
|---|
 CGB Send message
Joined: 5 Sep 17
Posts: 19
ID: 921601
Credit: 2,283,656,275
RAC: 247,114
                     
|
|
Not long ago, I noticed that there is a project to find consecutive GFN primes on another server and thought today I'd give it a go.
Strange thing is, as I searched the PrimeGrid forums for more info, I found this...
https://www.primegrid.com/forum_thread.php?id=7921#116075
It would appear that I totally forgot that I already found consecutive GFN-15's here on PrimeGrid. At the time, the only consecutive GFN-15s found here.
(For those interested, the primes were found on two different computers, one has been retired, the other computer is still running. https://www.primegrid.com/show_host_detail.php?hostid=915292.
Have any other consecutive GFN primes been found here? If so, may I 'humbly' suggest that a new badge be created and granted to members that find these rare consecutive GFN primes, there's more out there, Robish should be able to find em!
| |
|
dukebgVolunteer tester
Send message
Joined: 21 Nov 17
Posts: 242
ID: 950482
Credit: 23,670,125
RAC: 0
                  
|
|
Consecutive GFN-13 and GFN-14 primes searches have already finished. See topics this and this.
There are tons more primes of that size than GFN-15 and higher, yet still there were only one new pair found in each of the hunts. So, a rarer yet event in the higher ones.
Jim very recently updated this page, anyone can see for themselves if there are new consecutive pairs.
I'm not really sure if it's something that should have a badge. There are exclusive badges for finding first GFN prime of some size or first GCW number with some base, but this one is just "congrats, you won a lottery"-type, dunno. | |
|
dukebgVolunteer tester
Send message
Joined: 21 Nov 17
Posts: 242
ID: 950482
Credit: 23,670,125
RAC: 0
|
Jim very recently updated this page, anyone can see for themselves if there are new consecutive pairs.
checked with a simple script, there are none other. | |
|
robishVolunteer moderator
Volunteer tester
Send message
Joined: 7 Jan 12
Posts: 2173
ID: 126266
Credit: 7,165,233,964
RAC: 1,755,702
                         
|
Have any other consecutive GFN primes been found here? If so, may I 'humbly' suggest that a new badge be created and granted to members that find these rare consecutive GFN primes, there's more out there, Robish should be able to find em!
:) Thanks for the vote of confidence :)
However, I found one of a pair of GFN 14s, whereas you found both GFN15's so I reckon you win! :)
There is this other interesting project to find the first GFN 16 Mega Prime, currently running. CPU only. Just started a few weeks back.
https://www.primegrid.com/forum_thread.php?id=8504&nowrap=true#127964
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 | |
|
streamVolunteer moderator
Project administrator
Volunteer developer
Volunteer tester
Send message
Joined: 1 Mar 14
Posts: 1022
ID: 301928
Credit: 543,195,188
RAC: 150
                  
|
Have any other consecutive GFN primes been found here? If so, may I 'humbly' suggest that a new badge be created and granted to members that find these rare consecutive GFN primes, there's more out there, Robish should be able to find em!
There was a calculation of probability of consecutive primes for each N in one of threads mentioned above. For GFN-15 it was very low, for GFN-16 - close to impossible. Mike probably could run one more query on the database, like it did early, but I don't think there'll be any results. You were really lucky finding this one. We know 3 pairs for GFN-13 and 1 pair for GFN-14, and it was in full Genefer range (400M).
| |
|
Michael GoetzVolunteer moderator
Project administrator
Send message
Joined: 21 Jan 10
Posts: 13877
ID: 53948
Credit: 383,317,322
RAC: 117,380
             
|
Mike probably could run one more query on the database, like it did early, but I don't think there'll be any results.
That is correct.
____________
My lucky number is 75898524288+1 | |
|
CGBSend message
Joined: 5 Sep 17
Posts: 19
ID: 921601
Credit: 2,283,656,275
RAC: 247,114
|
|
Thank you dukebg for the links, they made for interesting reading. I have come to agree that it's kind of pointless to have a special badge for these consecutive finds.
A little over a year ago when I found those two primes, Michael congratulated me for finding those "special primes" in a different thread. At the time, I was ignorant as to just how special the finds were.
:) Thanks for the vote of confidence :)
However, I found one of a pair of GFN 14s, whereas you found both GFN15's so I reckon you win! :)
There is this other interesting project to find the first GFN 16 Mega Prime, currently running. CPU only. Just started a few weeks back.
https://www.primegrid.com/forum_thread.php?id=8504&nowrap=true#127964
Thank you Robish! But seeing that you were 'trying' to find the GFN 14s where as my finding the GFN 15s was just insanely good blind luck, it feels more like you are the bigger winner.
You knew what you were looking for, put in the effort, cycles and kilo watts = bigger winner in my books. :)
The GFN 16 MEGA hunt looks interesting, might join the search myself.
Cheers everyone! | |
|
Michael GoetzVolunteer moderator
Project administrator
Send message
Joined: 21 Jan 10
Posts: 13877
ID: 53948
Credit: 383,317,322
RAC: 117,380
|
Mike probably could run one more query on the database, like it did early, but I don't think there'll be any results.
That is correct.
Gah, That was horrendously ambiguous.
I meant that "but I don't think there'll be any results" was correct. I didn't mean "Mike probably could run one more query" was correct.
There's no other pairs in the database.
____________
My lucky number is 75898524288+1 | |
|
Message boards :
Generalized Fermat Prime Search :
Consecutive GFN's |
