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Prime 9-tuplets

Posted: 2021-02-23 17:00:37
by Pttn
Discussion about beating the prime 9-tuplet record. Let us know about your attempts, share your optimal settings, or ask for them.

Here is a guide to configure rieMiner in order to look for records.

Current Record:
n = 478533669071127158187036344893317381049602897361037097468542351070638624056176097858028984848889362492860118440024323690876804390202354022536630041625424108537245650889654977121890720473014633781765493573179133856195127506086901335373713453909708326493403632650371018413050806602368167662162208442737952579361
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 1025.412474 (Log2), 309 digits
Riecoin Block 1669866, found by Tom B./Romezowe on February 16 2022.
http://www.pzktupel.de/ktuplets

Former records using Riecoin Software can be found by browsing this topic.
I also had one, n = 288807316346272652375*463# + 8750853101 = 1350893951304888395921079397906146942737805199452428593739359909067830201818369897308674027937930995831902611268015777782860579781946740882080353439664150969407317483144667462762512001500980249401626599331148214351
Constellation Pattern: (n, n + 2, n + 6, n + 8, n + 12, n + 18, n + 20, n + 26, n + 30)
Difficulty 708.004598 (Log2), 709 bits or 214 digits
Found on November 25 2019 using rieMiner 0.91 in the Search Mode, with a 3700X during 15 days.

Good Luck!

Re: Prime 9-tuplets

Posted: 2021-04-02 14:31:36
by Pttn
New Record, this time by mining rather than using the Search Mode! Finally, after all these years!
Did not expect to see a 9-tuple so soon, it was actually found a few hours after the Fork!

n = 188222230225967634309661655085587060551450342803344921889572281354397620540401431148122712635555320426554410028659607324059948749732354734097421741120829413140323023390829642143056404553577798874521933278909478579016646850020034621809
Constellation Pattern: (n, n + 4, n + 10, n + 12, n + 18, n + 22, n + 24, n + 28, n + 30)
Difficulty 774.921683 (Log2), 775 bits or 234 digits
Riecoin Block 1482856, found by an unknown Riecoin miner on March 30 2021 (this miner did Pooled Mining on XpoolX).

Currently, two bounties worth 3000 RIC in total can be claimed by XpoolX, who may choose how to share the bounty.
Bounties claimed.

I also compiled a list of 8-tuples and longer found so far.

Re: Prime 9-tuplets

Posted: 2021-04-12 20:45:47
by Pttn
And already two new records! Both from the last Saturday :D !

n = 118174069654229438570440176105637927286185110429585291350301494715455493793045101168043478467943882432105144277323256046110399281364118445303286765960650687871440071305262627341478278765181822848689678361323387492699535412304128947911192172592811
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 814.113297 (Log2), 815 bits or 246 digits
Riecoin Block 1489536, found by an unknown Riecoin Solo Miner on April 10 2021 (address ric1qz4cjxt2vvje35mfk85tdl3lf3xffq7p70admfm).

Currently, two bounties worth 3000 RIC in total can be claimed by whoever found this record.

n = 1353204976648313892199166143447197911057944396195168378810788933709206014897671464529227489977380906425471331917139476386963958898630225807306613443403528557997444365050200513814714337715431726478029497857008823105500370367439187762230854699618109
Constellation Pattern: n + (0, 4, 10, 12, 18, 22, 24, 28, 30)
Difficulty 817.630692 (Log2), 818 bits or 247 digits
Riecoin Block 1489589, found by an unknown Riecoin miner on April 10 2021 (this miner did Pooled Mining on PrimaPool).

Currently, a bounty worth 1000 RIC can be claimed by PrimaPool, who may choose how to share the bounty. The other bounty of 2000 RIC cannot be claimed because the record has a Difficulty only 0.43% higher than the previous one.
Bounty claimed.

Re: Prime 9-tuplets

Posted: 2021-04-18 19:09:05
by Pttn
And a fourth one!

n = 23081667449139832156455195292090834302292719426448092524454804809887540692911659498054645235478622533957544132528842547116920740962791248535106734402505837975243745696409760132899525525915186358514895369228051325621305412590318095164517301349603832271
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 831.688771 (Log2), 251 digits
Riecoin Block 1489589, found by ric1qkzm5qfppw8n7m404j9t3t22xkvsjf39rfsjl7x on April 16 2021.

Currently, a bounty worth 1000 RIC can be claimed by whoever found this record. The other bounty of 2000 RIC cannot be claimed because the record has a Difficulty only 1.72% higher than the previous one.
Bounty claimed by romezowe.

Re: Prime 9-tuplets

Posted: 2021-04-24 23:50:33
by Pttn
Another record! A shame that it did not occur when the Difficulty was around 900, hopefully we reach such levels and more again and consistently.

Current record: n = 22945329182573265413092993554317768903159461866451417438014966442717787475452498401625345097788833531724891835354698467829409254633396576826867009680879392590212882669621478488928650881813425768195881396317019726081436920636366889581545565232590574303224253041
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 861.577577 (Log2), 260 digits
Riecoin Block 1497138, found by ric1qmstmv36kuthe7xu4dxzhz6jwnk27t4xqtvmqfa on April 23 2021.

Currently, a bounty worth 1000 RIC can be claimed by whoever found this record. The other bounty of 2000 RIC cannot be claimed because the record has a Difficulty only 3.59% higher than the previous one.
Bounty Expired, unclaimed after a month

Re: Prime 9-tuplets

Posted: 2021-05-02 15:10:58
by Pttn
New record! But still under 900... Hopefully we reach soon a point where we never see Difficulties under 900 again...

n = 24498617753794656932997420455674658496932373482355996202262826200174200801329963562702772932753516533960906487793212705782702897989042999798776121976767323107878781385636961459486562444600109506232956951128883744531867636428616604727375053084759809016769019692087891
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 881.603645 (Log2), 882 bits or 266 digits
Riecoin Block 1501946, found by an unknown Riecoin miner on May 1 2021 (this miner did Pooled Mining on Suprnova).

Currently, a bounty worth 1000 RIC can be claimed by Suprnova, who may choose how to share the bounty.
Bounty Expired, unclaimed after a month

Re: Prime 9-tuplets

Posted: 2021-05-22 21:33:18
by Pttn
New record!

n = 110366184734739831837092806590187622513287932725641722126745123370789724266012975854392446863773569049225730188814914371142904860790571413732814828779698630722084864091155951726742800620226883243479106066613180012547310887801947891105337454665723915285243124604007651
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 883.775171 (Log2), 267 digits
Riecoin Block 1513719, found by an unknown Riecoin miner on May 22 2021 (this miner did Pooled Mining on XpoolX).

Currently, a bounty worth 1000 RIC can be claimed by XpoolX, who may choose how to share the bounty. The other bounty of 2000 RIC cannot be claimed because the record has a Difficulty only 0.24% higher than the previous one.
Bounty Expired, unclaimed after a month

Re: Prime 9-tuplets

Posted: 2021-05-31 12:30:39
by Pttn
New record! And a very nice one, also finally over 9000!!!!! 900!
Nice to see the Difficulty rising, the record could be beaten fairly soon if we stay consistently above 920.
Next step will be to reach the 1000 milestone!

n = 5039584135497064452177414158231153577888664871788098539038227466155383185501655660040838727237577268401662562549918429806680203633184645269686866653639551798323451111959326159289045004327579621734599073419644917475619798886125090761862749674394958987584863377518571073056562601
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 919.185459 (Log2), 277 digits
Riecoin Block 1517763, found by an unknown Riecoin miner on May 29 2021 (this miner did Pooled Mining on XpoolX).

Currently, a bounty worth 1000 RIC can be claimed by XpoolX, who may choose how to share the bounty. The other bounty of 2000 RIC cannot be claimed because the record has a Difficulty only 4.01% higher than the previous one.
Bounty Expired, unclaimed after a month

Re: Prime 9-tuplets

Posted: 2021-06-06 19:00:26
by Pttn
As predicted, already a new record!

n = 196468903603809429109410077019600424364404302295809773698205506145099179192665507154456077368597183208781098167234548017506421857059174591820148236178122442552513990891635035784665284866109306123713705474407548253731045321798283038581681783811449926077796172684492798894368196419
Constellation Pattern: n + (0, 4, 10, 12, 18, 22, 24, 28, 30)
Difficulty 924.470311 (Log2), 279 digits
Riecoin Block 1521552, found by an unknown Riecoin miner on June 4 2021 (this miner did Pooled Mining on PrimaPool).

Currently, a bounty worth 1000 RIC can be claimed by PrimaPool, who may choose how to share the bounty.
Bounty claimed.

Re: Prime 9-tuplets

Posted: 2021-06-10 16:13:34
by ghost14
Nice! I'd love to find a record!

Re: Prime 9-tuplets

Posted: 2021-06-28 10:04:50
by Pttn
New record! It never took so long for a 9-tuple to appear (21 days), and it is unfortunate that it happened just before the Difficulty peaks to 960 levels, so it is not even one unit of Difficulty larger than the previous record...

n = 346926877363826305715218070050903356229966888130295220258502719755432571807106246362716883981431130502636928770749324382262721068813014573243266115670492278164927266197940089265953763476907316565675085757915712892145196078674933264774403982410862770781101971806915574934530304411
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 925.290642 (Log2), 279 digits
Riecoin Block 1533953, found by an TomB/Romezowe on June 26 2021.

Bounty of 1000 RIC claimed.

Re: Prime 9-tuplets

Posted: 2021-07-07 02:35:32
by Pttn
Nice record this time.

n = 834181140967866943411930971342176848709480126339779209734775271019496697286022790774819226236686453006176195187243547152433248681598484046122460385661924038674479888971323277910849533774695238090835059164823712025235324163407796685867824638974761160662441825858921295837054159278300651
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 946.487940 (Log2), 285 digits
Riecoin Block 1538130, found by ProtonPool (not public yet) on July 3 2021.

Bounty of 1000 RIC claimed.

Re: Prime 9-tuplets

Posted: 2021-08-14 03:25:45
by Pttn
Catching up after finishing the Constellation Explorer improvements. A couple of new records, including the first one over 950 - finally!

n = 1488973118543672245695195047023523590000886685234810603621605067071429962781827734930731177863375697403666180641465272498100317540778259549568197318269218559912329984457088977394805845971655090240127521379306284839436603700480333567013239962048074726465647608366198628872725406809818481
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 947.323825 (Log2), 286 digits
Riecoin Block 1548122, found by Suprnova on July 20 2021.

n = 176595087101074747169799375458183301143784777511132269254912216161002367901827826620160181345593600689728742750757497346021291162815950354894865252234082933120269862207703577376273376418641560327173338829979547933744906894474126725617001777819154539594185405864790597579078992090693118801
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 954.213808 (Log2), 288 digits
Riecoin Block 1558658, found by PrimaPool'Solo on August 7 2021.

Re: Prime 9-tuplets

Posted: 2021-08-26 20:12:50
by Pttn
Catching up, two neat records, including the first one over 1000!

n = 77696175186716058600705622339769508002430128274419706399966882854113330904305052615855273661320835460047450848982259997027430711195201590805522811576549236934780899422437837099574564745754263578124869534934295095093147353693778523989784364640917032330677281435693265268587222184617422446761090971
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 982.926632 (Log2), 296 digits
Riecoin Block 1566093, found by PrimaPool'Solo on August 20 2021.

n = 17133390951273662441129731928409201975091124372525152395731008902084180647131073957813169456143742463964345339311344315192530411178319930476778208816444506047124546021135235893302250815084906751830223917421714594930650482268783218575664243875325968902684864291604382343685988841954940078677565726106111
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 1000.677167 (Log2), 302 digits
Riecoin Block 1567399, found by PrimaPool'Solo on August 22 2021.

Too bad that the Difficulty crashed soon after, two more 9-tuple were found in the same week window but are not even in the top 3.

Re: Prime 9-tuplets

Posted: 2022-02-16 12:05:28
by Pttn
New Record!

n = 478533669071127158187036344893317381049602897361037097468542351070638624056176097858028984848889362492860118440024323690876804390202354022536630041625424108537245650889654977121890720473014633781765493573179133856195127506086901335373713453909708326493403632650371018413050806602368167662162208442737952579361
Constellation Pattern: n + (0, 2, 6, 8, 12, 18, 20, 26, 30)
Difficulty 1025.412474 (Log2), 309 digits
Riecoin Block 1669866, found by Tom B./Romezowe on February 16 2022.

Re: Prime 9-tuplets

Posted: 2022-02-17 15:50:01
by pzktupel
Congratulation !
It set also a SP-09 record !

https://www.pzktupel.de/JensKruseAnders ... tprime.htm

greetings,
pzktupel