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Message boards : AP26 - AP27 Search : AP27 FOUND!!!

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Profile Sysadm@NbgProject donor
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Joined: 5 Feb 08
Posts: 1172
ID: 18646
Credit: 436,230,581
RAC: 136,578
Found 1 prime in the 2019 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,049,101)Cullen LLR Amethyst: Earned 1,000,000 credits (1,065,659)ESP LLR Amethyst: Earned 1,000,000 credits (1,658,417)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,216,209)PPS LLR Ruby: Earned 2,000,000 credits (3,853,817)PSP LLR Amethyst: Earned 1,000,000 credits (1,076,339)SoB LLR Turquoise: Earned 5,000,000 credits (7,603,584)SR5 LLR Amethyst: Earned 1,000,000 credits (1,762,093)SGS LLR Amethyst: Earned 1,000,000 credits (1,108,426)TRP LLR Ruby: Earned 2,000,000 credits (3,594,095)Woodall LLR Amethyst: Earned 1,000,000 credits (1,323,182)321 Sieve Ruby: Earned 2,000,000 credits (2,002,108)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,967,439)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,137,451)PPS Sieve Double Silver: Earned 200,000,000 credits (229,467,030)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (627,444)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,956,401)AP 26/27 Jade: Earned 10,000,000 credits (15,856,233)GFN Emerald: Earned 50,000,000 credits (64,937,531)PSA Emerald: Earned 50,000,000 credits (86,964,270)
Message 133173 - Posted: 23 Sep 2019 | 18:00:09 UTC - in response to Message 133172.

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!
____________
Sysadm@Nbg
my current lucky number: 3651*2^1521717+1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

Profile Michael GoetzProject donor
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Joined: 21 Jan 10
Posts: 12937
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Credit: 195,523,398
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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 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,612,582)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (20,110,788)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 (10,106,174)GFN Emerald: Earned 50,000,000 credits (65,591,694)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 133183 - Posted: 23 Sep 2019 | 22:53:16 UTC

https://www.primegrid.com/forum_thread.php?id=7012&nowrap=true#133172

And it was found as part of the AP27 challenge!


____________
Please do not PM me with support questions. Ask on the forums instead. Thank you!

My lucky number is 75898524288+1

Profile Eudy SilvaProject donor
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Joined: 26 Aug 17
Posts: 866
ID: 918937
Credit: 134,936,626
RAC: 107,622
Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Gold: Earned 500,000 credits (834,329)Cullen LLR Amethyst: Earned 1,000,000 credits (1,011,118)ESP LLR Amethyst: Earned 1,000,000 credits (1,022,307)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,004,746)PPS LLR Turquoise: Earned 5,000,000 credits (6,485,435)PSP LLR Gold: Earned 500,000 credits (742,121)SoB LLR Ruby: Earned 2,000,000 credits (2,113,239)SR5 LLR Ruby: Earned 2,000,000 credits (2,784,784)SGS LLR Amethyst: Earned 1,000,000 credits (1,162,202)TRP LLR Amethyst: Earned 1,000,000 credits (1,309,179)Woodall LLR Amethyst: Earned 1,000,000 credits (1,001,901)321 Sieve Amethyst: Earned 1,000,000 credits (1,036,805)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,331)PPS Sieve Emerald: Earned 50,000,000 credits (63,539,979)AP 26/27 Sapphire: Earned 20,000,000 credits (22,224,371)GFN Sapphire: Earned 20,000,000 credits (25,599,556)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 133185 - Posted: 23 Sep 2019 | 23:01:42 UTC - in response to Message 133183.

Congratulations, Robish !
With a GTX 1660 Ti !
____________
"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment.

Profile RobishProject donor
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Joined: 7 Jan 12
Posts: 1178
ID: 126266
Credit: 2,961,885,296
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Discovered the World's First AP27!!!Discovered 8 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (6,393,953)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (31,503,911)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,998,007)SR5 LLR Turquoise: Earned 5,000,000 credits (5,095,601)SGS LLR Turquoise: Earned 5,000,000 credits (5,025,991)TRP LLR Jade: Earned 10,000,000 credits (12,088,272)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (777,982,977)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (51,750,400)GFN Double Amethyst: Earned 1,000,000,000 credits (1,988,690,912)
Message 133187 - Posted: 23 Sep 2019 | 23:26:45 UTC - in response to Message 133185.

Congratulations, Robish !
With a GTX 1660 Ti !


Thank you Eudy! Dont count out the little card. Its usually my best bet 😉
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

Profile TimTProject donor
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Joined: 2 Dec 11
Posts: 314
ID: 121414
Credit: 1,098,539,705
RAC: 658,715
Found 4 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,737,564)Cullen LLR Jade: Earned 10,000,000 credits (10,939,643)ESP LLR Jade: Earned 10,000,000 credits (10,253,423)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (19,917,988)PPS LLR Sapphire: Earned 20,000,000 credits (22,790,033)PSP LLR Jade: Earned 10,000,000 credits (10,502,818)SoB LLR Sapphire: Earned 20,000,000 credits (20,586,237)SR5 LLR Jade: Earned 10,000,000 credits (10,376,832)SGS LLR Sapphire: Earned 20,000,000 credits (20,037,163)TRP LLR Jade: Earned 10,000,000 credits (13,220,801)Woodall LLR Jade: Earned 10,000,000 credits (12,770,021)321 Sieve Sapphire: Earned 20,000,000 credits (21,833,883)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (74,346)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,184,525)PPS Sieve Double Gold: Earned 500,000,000 credits (565,517,666)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (287,513)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,074,848)AP 26/27 Double Bronze: Earned 100,000,000 credits (108,603,066)GFN Double Bronze: Earned 100,000,000 credits (156,812,663)PSA Emerald: Earned 50,000,000 credits (72,018,672)
Message 133190 - Posted: 24 Sep 2019 | 1:25:01 UTC - in response to Message 133187.

Congrats Robish, amazing find!

Renix1943Project donor
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Joined: 26 Aug 16
Posts: 102
ID: 455383
Credit: 740,443,811
RAC: 3,613,868
Discovered 1 AP26321 LLR Gold: Earned 500,000 credits (569,285)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (573,538)PPS LLR Turquoise: Earned 5,000,000 credits (6,051,727)SoB LLR Amethyst: Earned 1,000,000 credits (1,184,942)SR5 LLR Gold: Earned 500,000 credits (660,080)SGS LLR Amethyst: Earned 1,000,000 credits (1,945,506)TRP LLR Gold: Earned 500,000 credits (527,913)321 Sieve Ruby: Earned 2,000,000 credits (4,288,101)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,570,144)PPS Sieve Double Gold: Earned 500,000,000 credits (617,570,571)TRP Sieve (suspended) Silver: Earned 100,000 credits (304,200)AP 26/27 Sapphire: Earned 20,000,000 credits (31,050,240)GFN Emerald: Earned 50,000,000 credits (73,276,696)
Message 133191 - Posted: 24 Sep 2019 | 2:23:07 UTC

Your "27" badge is looking good!!!! :-)

darkclownProject donor
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Joined: 3 Oct 06
Posts: 215
ID: 3605
Credit: 355,663,370
RAC: 985,580
Discovered 2 mega primes321 LLR Ruby: Earned 2,000,000 credits (2,181,092)Cullen LLR Ruby: Earned 2,000,000 credits (2,318,587)ESP LLR Ruby: Earned 2,000,000 credits (3,664,189)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,404,345)PPS LLR Jade: Earned 10,000,000 credits (13,227,446)PSP LLR Ruby: Earned 2,000,000 credits (2,510,429)SoB LLR Ruby: Earned 2,000,000 credits (2,661,947)SR5 LLR Ruby: Earned 2,000,000 credits (3,172,649)SGS LLR Ruby: Earned 2,000,000 credits (2,024,276)TPS LLR (retired) Bronze: Earned 10,000 credits (14,608)TRP LLR Ruby: Earned 2,000,000 credits (2,794,097)Woodall LLR Ruby: Earned 2,000,000 credits (2,835,784)321 Sieve Sapphire: Earned 20,000,000 credits (20,953,539)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,370,445)PPS Sieve Sapphire: Earned 20,000,000 credits (26,872,301)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (718,547)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,027,562)AP 26/27 Sapphire: Earned 20,000,000 credits (21,231,668)GFN Sapphire: Earned 20,000,000 credits (27,290,531)PSA Double Silver: Earned 200,000,000 credits (204,420,780)
Message 133192 - Posted: 24 Sep 2019 | 2:26:03 UTC

Congrats again!
____________
My lucky #: 60133106^131072+1 (GFN 17-mega)

Profile vaughanProject donor
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Joined: 11 Aug 05
Posts: 186
ID: 224
Credit: 3,862,183,311
RAC: 2,213,588
Discovered 1 mega primeFound 12 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 6 primes in the 2019 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (12,404,836)Cullen LLR Jade: Earned 10,000,000 credits (18,802,953)ESP LLR Sapphire: Earned 20,000,000 credits (25,179,029)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,469,086)PPS LLR Emerald: Earned 50,000,000 credits (82,767,236)PSP LLR Jade: Earned 10,000,000 credits (15,232,021)SoB LLR Sapphire: Earned 20,000,000 credits (38,404,831)SR5 LLR Sapphire: Earned 20,000,000 credits (22,241,642)SGS LLR Sapphire: Earned 20,000,000 credits (33,928,954)TPS LLR (retired) Bronze: Earned 10,000 credits (76,266)TRP LLR Sapphire: Earned 20,000,000 credits (21,385,824)Woodall LLR Jade: Earned 10,000,000 credits (12,902,148)321 Sieve Emerald: Earned 50,000,000 credits (61,646,565)Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (35,459,921)Generalized Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (103,015,099)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,854,712,312)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (11,101,054)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (25,930,215)AP 26/27 Double Bronze: Earned 100,000,000 credits (153,836,301)GFN Double Silver: Earned 200,000,000 credits (233,310,688)PSA Emerald: Earned 50,000,000 credits (79,264,147)
Message 133194 - Posted: 24 Sep 2019 | 3:37:33 UTC

Nice find Robish. The GTX1660ti is a handy little GPU.
____________

Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 941
ID: 306875
Credit: 11,032,321
RAC: 10,925
321 LLR Silver: Earned 100,000 credits (285,114)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,423,381)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 133196 - Posted: 24 Sep 2019 | 5:16:18 UTC
Last modified: 24 Sep 2019 | 5:37:49 UTC

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

niktak11
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Joined: 8 May 16
Posts: 24
ID: 446437
Credit: 83,452,776
RAC: 106,376
321 LLR Gold: Earned 500,000 credits (834,398)Cullen LLR Silver: Earned 100,000 credits (146,972)ESP LLR Silver: Earned 100,000 credits (350,298)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (451,599)PPS LLR Jade: Earned 10,000,000 credits (12,621,108)PSP LLR Amethyst: Earned 1,000,000 credits (1,075,026)SoB LLR Amethyst: Earned 1,000,000 credits (1,758,950)SR5 LLR Silver: Earned 100,000 credits (322,264)SGS LLR Gold: Earned 500,000 credits (544,860)TRP LLR Gold: Earned 500,000 credits (743,516)Woodall LLR Silver: Earned 100,000 credits (395,877)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,267,043)PPS Sieve Jade: Earned 10,000,000 credits (18,523,645)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,002,975)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,025,532)AP 26/27 Ruby: Earned 2,000,000 credits (4,908,202)GFN Sapphire: Earned 20,000,000 credits (37,482,244)
Message 133219 - Posted: 25 Sep 2019 | 5:51:19 UTC

Time to start looking for an AP28

Michael Millerick
Volunteer tester
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Joined: 4 Feb 09
Posts: 652
ID: 35074
Credit: 130,108,427
RAC: 118,610
321 LLR Amethyst: Earned 1,000,000 credits (1,063,954)Cullen LLR Gold: Earned 500,000 credits (665,748)ESP LLR Amethyst: Earned 1,000,000 credits (1,025,432)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (870,153)PPS LLR Turquoise: Earned 5,000,000 credits (6,702,920)PSP LLR Amethyst: Earned 1,000,000 credits (1,134,556)SoB LLR Amethyst: Earned 1,000,000 credits (1,064,898)SR5 LLR Amethyst: Earned 1,000,000 credits (1,043,015)SGS LLR Amethyst: Earned 1,000,000 credits (1,078,249)TRP LLR Amethyst: Earned 1,000,000 credits (1,026,807)Woodall LLR Amethyst: Earned 1,000,000 credits (1,042,977)321 Sieve Ruby: Earned 2,000,000 credits (2,096,785)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,911,344)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,077,092)PPS Sieve Sapphire: Earned 20,000,000 credits (45,656,762)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,034,014)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,774)AP 26/27 Ruby: Earned 2,000,000 credits (3,898,270)GFN Ruby: Earned 2,000,000 credits (4,388,283)PSA Sapphire: Earned 20,000,000 credits (47,256,391)
Message 133220 - Posted: 25 Sep 2019 | 6:13:39 UTC

Time to get some wikipedia pages updated.
____________

Grzegorz Roman GranowskiProject donor
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Joined: 12 Mar 10
Posts: 47
ID: 56804
Credit: 7,492,181,546
RAC: 10,730,437
Discovered 1 Fermat divisor321 LLR Amethyst: Earned 1,000,000 credits (1,405,414)Cullen LLR Silver: Earned 100,000 credits (465,280)ESP LLR Ruby: Earned 2,000,000 credits (2,022,175)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (38,023)PPS LLR Double Silver: Earned 200,000,000 credits (243,752,281)PSP LLR Turquoise: Earned 5,000,000 credits (8,835,031)SoB LLR Jade: Earned 10,000,000 credits (12,179,449)SR5 LLR Gold: Earned 500,000 credits (760,788)TRP LLR Gold: Earned 500,000 credits (935,975)Woodall LLR Gold: Earned 500,000 credits (740,422)321 Sieve Silver: Earned 100,000 credits (461,396)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (189,614)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,464,910,945)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (213,104)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,091,635)AP 26/27 Double Silver: Earned 200,000,000 credits (463,804,874)GFN Double Ruby: Earned 2,000,000,000 credits (3,291,332,952)
Message 133351 - Posted: 28 Sep 2019 | 13:58:25 UTC - in response to Message 133220.

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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