Message boards : AP26 - AP27 Search : Two AP20, FOUND!

 Subscribe SortOldest firstNewest firstHighest rated posts first
Author Message
O&O

Joined: 17 Dec 05
Posts: 18
ID: 1877
Credit: 14,519,522
RAC: 0

Message 119638 - Posted: 29 Jul 2018 | 4:31:23 UTC

Hi,

I received an email indicating my computer, which is assigned to the AP27 project, has found two unique Arithmetic Progression of primes of length 20. And since primes found in this sub-project are not large enough to report to the Top 5000 Primes List, my AP20 sequence will be visible immediately....

28 Jul 2018 | 15:42:01 UTC: 311639370756505291+66124273*23#*n for n=0..19
28 Jul 2018 | 20:27:02 UTC: 20196677993854777+66261997*23#*n for n=0..19

Thanks,

____________

Michael Goetz
Volunteer moderator

Joined: 21 Jan 10
Posts: 13804
ID: 53948
Credit: 345,369,032
RAC: 3,564

Message 119639 - Posted: 29 Jul 2018 | 4:35:04 UTC

Congratulations!

____________
My lucky number is 75898524288+1

O&O

Joined: 17 Dec 05
Posts: 18
ID: 1877
Credit: 14,519,522
RAC: 0

Message 119640 - Posted: 29 Jul 2018 | 5:16:04 UTC - in response to Message 119639.

Thank you.

BTW, how many digits long those primes I found?

Regards
____________

Iain Bethune
Honorary cruncher

Joined: 28 Jan 09
Posts: 1588
ID: 34775
Credit: 194,056,043
RAC: 0

Message 119641 - Posted: 29 Jul 2018 | 7:58:43 UTC - in response to Message 119640.

BTW, how many digits long those primes I found?

They are 16 or 17 digits long. So tiny compared to what we search for, but what makes these primes special is that there are 20 of them with a common difference between each!
____________
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

Eudy Silva

Joined: 26 Aug 17
Posts: 1871
ID: 918937
Credit: 454,173,686
RAC: 1,139,042

Message 119647 - Posted: 29 Jul 2018 | 16:43:53 UTC - in response to Message 119640.

O&O wrote:
...
BTW, how many digits long those primes I found?
...

If you go to Your account an then click on AP26/AP27 tasks (view detailed statistics), you'll see all the AP sequences you have found.
Just click on any of them to see all the primes in that AP sequence.

O&O

Joined: 17 Dec 05
Posts: 18
ID: 1877
Credit: 14,519,522
RAC: 0

Message 119654 - Posted: 30 Jul 2018 | 13:03:29 UTC - in response to Message 119647.

O&O wrote:
...
BTW, how many digits long those primes I found?
...

If you go to Your account an then click on AP26/AP27 tasks (view detailed statistics), you'll see all the AP sequences you have found.
Just click on any of them to see all the primes in that AP sequence.

Look at my babies ... all 4 of 'm

Found by you:
AP21: 61143336921879241+66310761*23#*n for n=0..20 (2018-07-29 08:57:27 UTC)
AP20: 311639370756505291+66124273*23#*n for n=0..19 (2018-07-27 21:38:49 UTC)
AP20: 108886893101096233+66340118*23#*n for n=0..19 (2018-07-29 17:19:39 UTC)
AP20: 20196677993854777+66261997*23#*n for n=0..19 (2018-07-28 19:47:08 UTC)

Double checked by you:
AP21: 141509063036861719+64899820*23#*n for n=0..20 (2018-07-13 10:24:49 UTC)
AP20: 173948934186717709+66359410*23#*n for n=0..19 (2018-07-29 21:58:24 UTC)

Thank you
____________

Message boards : AP26 - AP27 Search : Two AP20, FOUND!