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

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Profile O&O
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Joined: 17 Dec 05
Posts: 18
ID: 1877
Credit: 14,519,522
RAC: 0
PPS LLR Bronze: Earned 10,000 credits (54,816)SR5 LLR Bronze: Earned 10,000 credits (36,775)SGS LLR Bronze: Earned 10,000 credits (25,944)TRP LLR Bronze: Earned 10,000 credits (59,742)321 Sieve (suspended) Silver: Earned 100,000 credits (192,724)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (76,998)PPS Sieve Amethyst: Earned 1,000,000 credits (1,412,449)AP 26/27 Ruby: Earned 2,000,000 credits (3,436,550)GFN Turquoise: Earned 5,000,000 credits (9,188,907)
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,





____________

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Profile Michael GoetzProject donor
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Joined: 21 Jan 10
Posts: 13804
ID: 53948
Credit: 345,369,032
RAC: 4,797
The "Shut up already!" badge: This loud mouth has mansplained on the forums over 10 thousand times! Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 2 primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain Stage321 LLR Turquoise: Earned 5,000,000 credits (6,638,389)Cullen LLR Turquoise: Earned 5,000,000 credits (5,038,114)ESP LLR Turquoise: Earned 5,000,000 credits (6,177,890)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,541)PPS LLR Sapphire: Earned 20,000,000 credits (23,642,050)PSP LLR Turquoise: Earned 5,000,000 credits (7,956,186)SoB LLR Sapphire: Earned 20,000,000 credits (36,067,618)SR5 LLR Jade: Earned 10,000,000 credits (12,645,567)SGS LLR Turquoise: Earned 5,000,000 credits (5,037,630)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Turquoise: Earned 5,000,000 credits (5,032,821)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Jade: Earned 10,000,000 credits (10,902,645)GFN Emerald: Earned 50,000,000 credits (92,455,703)WW Emerald: Earned 50,000,000 credits (65,888,000)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 119639 - Posted: 29 Jul 2018 | 4:35:04 UTC

Congratulations!

____________
My lucky number is 75898524288+1

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Profile O&O
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Joined: 17 Dec 05
Posts: 18
ID: 1877
Credit: 14,519,522
RAC: 0
PPS LLR Bronze: Earned 10,000 credits (54,816)SR5 LLR Bronze: Earned 10,000 credits (36,775)SGS LLR Bronze: Earned 10,000 credits (25,944)TRP LLR Bronze: Earned 10,000 credits (59,742)321 Sieve (suspended) Silver: Earned 100,000 credits (192,724)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (76,998)PPS Sieve Amethyst: Earned 1,000,000 credits (1,412,449)AP 26/27 Ruby: Earned 2,000,000 credits (3,436,550)GFN Turquoise: Earned 5,000,000 credits (9,188,907)
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
____________

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Iain BethuneProject donor
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Joined: 28 Jan 09
Posts: 1588
ID: 34775
Credit: 194,056,043
RAC: 0
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (16,215,329)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
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!
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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Profile Eudy SilvaProject donor
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Joined: 26 Aug 17
Posts: 1870
ID: 918937
Credit: 447,107,979
RAC: 1,002,486
Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,187,213)Cullen LLR Amethyst: Earned 1,000,000 credits (1,291,013)ESP LLR Amethyst: Earned 1,000,000 credits (1,151,976)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,199,207)PPS LLR Sapphire: Earned 20,000,000 credits (27,152,715)PSP LLR Amethyst: Earned 1,000,000 credits (1,476,639)SoB LLR Ruby: Earned 2,000,000 credits (2,432,091)SR5 LLR Ruby: Earned 2,000,000 credits (3,137,603)SGS LLR Amethyst: Earned 1,000,000 credits (1,462,951)TRP LLR Amethyst: Earned 1,000,000 credits (1,574,163)Woodall LLR Amethyst: Earned 1,000,000 credits (1,001,901)321 Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,119,749)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,331)PPS Sieve Emerald: Earned 50,000,000 credits (90,743,949)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,120,852)GFN Double Bronze: Earned 100,000,000 credits (104,992,890)WW Double Bronze: Earned 100,000,000 credits (104,012,000)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 119647 - Posted: 29 Jul 2018 | 16:43:53 UTC - in response to Message 119640.
Last modified: 29 Jul 2018 | 16:45:30 UTC

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.

ID: 119647 | Report as offensive
Profile O&O
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Joined: 17 Dec 05
Posts: 18
ID: 1877
Credit: 14,519,522
RAC: 0
PPS LLR Bronze: Earned 10,000 credits (54,816)SR5 LLR Bronze: Earned 10,000 credits (36,775)SGS LLR Bronze: Earned 10,000 credits (25,944)TRP LLR Bronze: Earned 10,000 credits (59,742)321 Sieve (suspended) Silver: Earned 100,000 credits (192,724)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (76,998)PPS Sieve Amethyst: Earned 1,000,000 credits (1,412,449)AP 26/27 Ruby: Earned 2,000,000 credits (3,436,550)GFN Turquoise: Earned 5,000,000 credits (9,188,907)
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
____________

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

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