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Sysadm@Nbg Volunteer moderator Volunteer tester Project scientist
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Joined: 5 Feb 08 Posts: 1224 ID: 18646 Credit: 879,157,684 RAC: 327,344
                      
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World's First AP27!!!
The first known AP27 (Arithmetic Progression of 27 primes) has been found. The finder is Rob Gahan (Robish) of Ireland. Rob is a member of the Storm team.
\o/ WOW it's amazing! congrats!
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Sysadm@Nbg
my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/
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Michael Goetz Volunteer moderator Project administrator
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Joined: 21 Jan 10 Posts: 14011 ID: 53948 Credit: 435,476,260 RAC: 866,197
                               
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https://www.primegrid.com/forum_thread.php?id=7012&nowrap=true#133172
And it was found as part of the AP27 challenge!
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My lucky number is 75898524288+1 |
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Congratulations, Robish !
With a GTX 1660 Ti !
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"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment. |
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robish Volunteer moderator Volunteer tester
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Joined: 7 Jan 12 Posts: 2213 ID: 126266 Credit: 7,528,219,121 RAC: 3,353,969
                               
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Congratulations, Robish !
With a GTX 1660 Ti !
Thank you Eudy! Dont count out the little card. Its usually my best bet 😉
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My lucky number 10590941048576+1 |
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TimT  Send message
Joined: 2 Dec 11 Posts: 504 ID: 121414 Credit: 2,588,036,889 RAC: 1,558,224
                            
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Congrats Robish, amazing find! |
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Renix Send message
Joined: 26 Aug 16 Posts: 346 ID: 455383 Credit: 4,172,854,166 RAC: 5,637,153
                     
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Your "27" badge is looking good!!!! :-) |
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darkclown Volunteer tester Send message
Joined: 3 Oct 06 Posts: 331 ID: 3605 Credit: 1,446,470,475 RAC: 443,201
                          
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Congrats again!
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My lucky #: 60133106^131072+1 (GFN 17-mega) |
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Nice find Robish. The GTX1660ti is a handy little GPU.
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It is: 224584605939537911+81292139*23#*n for n=0..26
The multiplier 81292139 is also prime.
If you substitute n=-1 into the linear polynomial, you get 31 * 67 * 97* 353 * 2902883833. And if you substitute n=27, you get 29 * 2083 * 11823934545403.
We knew that 29 would divide either of the "extensions", and in this case 31 divides the other "end".
/JeppeSN |
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Time to start looking for an AP28 |
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Time to get some wikipedia pages updated.
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This Mega Success ... is ... an Effort ... of All the AP27 ... User's/Searchers ... and Apllication Developers ...
my Best Guess is ... that The User's and Developer's ...
have, as always ... equal right's to The Mega Find ....
Mr Robbish ... Congratulations, Congratulations, Congratulations ... it is an epic moment ...
sincerely, Grzegorz Roman Granowski ... The Scottish Boinc Team ...
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Of course it was found by Robish. He seems to be the one finding everything these days! |
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darkclown Volunteer tester Send message
Joined: 3 Oct 06 Posts: 331 ID: 3605 Credit: 1,446,470,475 RAC: 443,201
                          
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He eats his Lucky Charms!
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My lucky #: 60133106^131072+1 (GFN 17-mega) |
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Of course it was found by Robish. He seems to be the one finding everything these days!
We have to do something about him! :-) |
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robish Volunteer moderator Volunteer tester
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Joined: 7 Jan 12 Posts: 2213 ID: 126266 Credit: 7,528,219,121 RAC: 3,353,969
                               
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Of course it was found by Robish. He seems to be the one finding everything these days!
We have to do something about him! :-)
🥺.. .......🤗
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My lucky number 10590941048576+1 |
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compositeVolunteer tester Send message
Joined: 16 Feb 10 Posts: 1150 ID: 55391 Credit: 1,099,639,216 RAC: 808,452
                        
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I hope his luck doesn't run out.
He seems to breathe the stuff. |
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The AP27 is: 224584605939537911+81292139*23#*n for n=0..26
but if for some reason you prefer a minimal constant term, you can also write it as:6956246764150751+81292139*23#*m for m=12..38
The values from 0 through 11 for which this shifted formula produces primes, are m=3, m=6, m=7.
/JeppeSN |
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