Additions in 2023


December 2023

Prime Twins

3143057258192 - 3143057254096 ± 1 (69611 digits, 22 Dec 2023, Matthias Baur, Cyclo, PRST)

1845340868192 - 1845340864096 ± 1 (67716 digits, 09 Dec 2023, Rob Gahan, Cyclo, PRST)


November 2023

Prime Twins

14279340881715 · 2222333 ± 1 (66943 digits, 07 Nov 2023, Stephan Vink; Oliver Kruse; Michael Kwok; TwinGen; NewPGen; Twin Prime Search; LLR)


October 2023

Prime Quadruplet

Smallest with 10000 bits
29999 + 244164046679793 + d, d = 0, 2, 6, 8 (3010 digits, 23 Oct 2023, Norman Luhn, 26 Oct 2023; Maia Karpovich, proven primes via CM)


September 2023

Prime 9-tuplet

(Top-10)

8096703388538745581027194751126786700937232194317894651023717668314141648189594312628024001432
· 509# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (306 digits, 14 Sep 2023, Riecoin #2002325)

Prime 8-tuplet

(First known with more than 400 digits)
(NEW RECORD!)
362079385668757696008683096558661746463 · 863# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)

Prime 7-tuplet

1749454900366668261124366444904767913042 · 1051# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 (482 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
1749440332764626179112277073423987083854 · 1051# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (482 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
1785036139318226774335532641427159030322 · 991# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20 (452 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362084778371560960224893228648902482898 · 863# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362084724493692554397476622571818362892 · 863# + 235290683530361 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362084689974572819018431260315189393115 · 863# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362084003582039834371031963689604730850 · 863# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362083871068424757377126133841731804393 · 863# + 235444171424921 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362083722760626667259845562444508261831 · 863# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362083427468447321312340203101350092988 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362083161533443155308432304183606017177 · 863# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362083153699578891331308440599197788782 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362083040131277713286297209116593611620 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082890757923030091894077280785410639 · 863# + 235444171424921 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082883294372507070362840118326847276 · 863# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082747153820908841285290690984350476 · 863# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082630363036493735208035311419040493 · 863# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082421403580724341487999275289504108 · 863# + 235444171424921 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082415835699103111757329294285055444 · 863# + 220503269602151 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082369940834405467795807396720509821 · 863# + 220486288508021 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082300392677077117699473779930189722 · 863# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082236129948782516000133429849410798 · 863# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362082182049777917876683224563488493594 · 863# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081929505304135045627847521729797372 · 863# + 220503269602151 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081845598139072317422216402225348857 · 863# + 220486288508021 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081654129330903562145268212432257790 · 863# + 235444171424921 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081577992323212465482402685623208815 · 863# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081453460343429726962433585221872727 · 863# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081430376894994836753559523293342044 · 863# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362081145577861482432505264039397672635 · 863# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080913791734990842017508995299719089 · 863# + 220452326319761 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080903222768059842087942360462625586 · 863# + 220503269602151 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080725577832446072427805248178762165 · 863# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080628854711849397478157627385263212 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080596115384823623380314765111155755 · 863# + 235367427477641 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080406226185527472572765455592820036 · 863# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080279848534808413714558051218608902 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362080097647977270276651433392756351005 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079999813452931573302489552464840730 · 863# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079900202025467170748880825536114617 · 863# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079760674524950067454766631355522437 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079577026422160488105689744797630570 · 863# + 235290683530361 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079554685641832530151973366674098822 · 863# + 220503269602151 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079385668757696008683096558661746463 · 863# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079277054660305207286962706685500826 · 863# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)
362079264797519753499271556778389941661 · 863# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (401 digits, 10 Sep 2023, Michalis Christou, rieMiner 0.93a)


August 2023

Prime 9-tuplet

(Top-10)


150094000711966086582599883341851435099873024252919917143759312542264883993108235573652170084368
· 499# + 602527797215779 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (302 digits, 23 Aug 2023, Riecoin #1989316)

785736482192035162210293617854084866892633779128067177293795495786556268126995707998914641524
· 509# + 301856712297379 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (305 digits, 20 Aug 2023, Riecoin #1987876)



July 2023

Prime Quadruplet

(1049713153083 · 2917# · (567 · 2917# + 1) + 11#) · (567 · 2917# - 1) / 7# + 1 + d, d = 0, 2, 6, 8 (3753 digits, 23 Jul 2023, Ken Davis, APTreeSieve, OpenPFGW, Primo)

Prime Triplet

(Smallest 8000 digit prime triplet and each pattern)
107999 + 1600488488131 + d, d = 0, 2, 6 (8000 digits, Norman Luhn, 05 Jun 2023; Oliver Kruse , 30 Jun 2023, proven primes via CM )
107999 + 59692204797 + d, d = 0, 4, 6 (8000 digits, Norman Luhn, 07 Jun 2023; Oliver Kruse , 30 Jun 2023, proven primes via CM )

(Smallest gigantic prime triplet and each pattern)
109999 + 194011932117 + d, d = 0, 4, 6 (10000 digits, Norman Luhn, 22 Jun 2023; Oliver Kruse , 30 Jun 2023, proven primes via CM )
109999 + 274366375357 + d, d = 0, 2, 6 (10000 digits, Norman Luhn, 15 Jun 2023; Oliver Kruse , 30 Jun 2023, proven primes via CM )


June 2023

Prime 9-tuplet

(Top-10)


8765572177843184814229154326623059563840136253586624568046789391874155387479145540897589092413205411
· 491# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (304 digits, 29 Jun 2023, Riecoin #1957788)

4665418081624631784955896367419220766589672844230492483163236886525876947016333594558731146593
· 499# + 226554621544609 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (300 digits, 14 Jun 2023, Riecoin #1949113)

121133517275115547018555742318180482744008312012716527913198477819170362242224836572439329489655
· 503# + 226554621544609 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (304 digits, 12 Jun 2023, Riecoin #1947664)



May 2023

Prime 13-tuplet

(Smallest with 50 digit to given pattern)
10000000000000000000000000019294427203099948114321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42, 48 (50 digits, 07 May 2023, Norman Luhn)

Prime 12-tuplet

10000000000000000000000000019294427203099948114321 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 07 May 2023, Norman Luhn)

Prime 9-tuplet

(Top-10)


4544802941746849322755400504979525801125583245162538446615359445516948017861576296257331705348
· 521# + 301713410008249 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (308 digits, 27 May 2023, Riecoin #1938898)

899633485111333009273839308948792075378578512165122817726236874052643987907999568251525668195739438
· 491# + 443216221842829 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (303 digits, 17 May 2023, Riecoin #1932821)

6981459541055817191260362842479625063402912945070015867718881817316331990854697141515826226327285164890
· 503# + 301713410008249 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (312 digits, 07 May 2023, Riecoin #1926945)

46045082850018435275906947226494193908279305498626578726442681610474982252324395235332086210546421
· 491# + 443355092154409 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (302 digits, 04 May 2023, Riecoin #1925554)


Prime 8-tuplet

(Top-10)


12535667484694596950800617890716044333306550769988948320664333022424209836994030121791042799528403451
· 523# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (318 digits, 11 May 2023, Riecoin #1929345)

85942978608490853163266464829675186732716531436220205198524648761309585030760262728948076619827920
· 541# + 301570107719123 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (318 digits, 07 May 2023, Riecoin #1927251)



April 2023

Prime 12-tuplet

10000000000000000000000000015444433066649158677211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 30 Apr 2023, Norman Luhn)
10000000000000000000000000009389802763054136959411 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 15 Apr 2023, Norman Luhn)

Prime 9-tuplet

(Top-10)


154140554027854736762047378850909920571712371864836723122728277535436255651743244125969075784222257
· 503# + 226193845148629 + d, d = 0, 4, 10, 12, 18, 22, 24, 28, 30 (307 digits, 27 Apr 2023, Riecoin #1921294)

(NEW RECORD!)
182075127245948453356763852678412657384571384320476086323955359028566228121357180020362596219
· 541# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (312 digits, 22 Apr 2023, Riecoin #1918654, Bielawski Mathematicians)


Prime 8-tuplet

(Top-10)


3987713966903399303239950660723769421615362858385942437987085890986867068162646329330272417272976300
· 523# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (317 digits, 24 Apr 2023, Riecoin #1919848)

11710744061849538620397806879860067070242678218863498354844497665860286331555240723508432229537449
· 541# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (317 digits, 24 Apr 2023, Riecoin #1919547)

311221054735798841585762590138778107151399716077477913503996912845118479131581544661871607921079997521624
· 509# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (316 digits, 20 Apr 2023, Riecoin #1917099)

25574688959743142781461098385351599397017811484514265425256999890399153339903374605163196131879607751935860086103383
· 487# + 301570107719123 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (317 digits, 20 Apr 2023, Riecoin #1917086)

6924591430148309676177299177066536730096677322614884993696669344002610958119798420049375492616322103267800992925
· 491# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (316 digits, 16 Apr 2023, Riecoin #1915005)

4753312391885100760652806661770930568684458379362293135075457223474487225389965844243568878538954036920255828682904
· 487# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (316 digits, 15 Apr 2023, Riecoin #1914236)

27999757194561686415811815721057685430429364585520786394217057715642911735745290488985469094560459558
· 521# + 220503269602151 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (315 digits, 14 Apr 2023, Riecoin #1914051)

1284061393592330010294573441682879548597186380230220744013129499402991877849592248825314732623962457
· 521# + 226554621544613 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (314 digits, 11 Apr 2023, Riecoin #1912034)

7250700746101558619915832183049782404212553014818067335523287360282543066896307092988868015616378103183559858
· 491# + 301713410008253 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (313 digits, 11 Apr 2023, Riecoin #1912018)

24649096404672837564891464471901420702726224835134266168684625430198030840401636994370044759468377338429
· 503# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (313 digits, 11 Apr 2023, Riecoin #1911993)

3996883087697355648809782743899006874909423531108916909263609358577772011648423389071171505634913085991
· 509# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (315 digits, 11 Apr 2023, Riecoin #1911961)

10770136970685105371015684278754510343116446266161526176967724694268675315090104848859891786417505918
· 509# + 235290683530361 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (312 digits, 08 Apr 2023, Riecoin #1910451)

2575844679372955934833026513254652756090465006503305945331910539121460335725212015046344306291418079672639
· 499# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (312 digits, 08 Apr 2023, Riecoin #1910397)

532295355370150470083289067382889787959862583842117409233271925431301459739264640587301816339466305362292
· 499# + 220469307413891 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (311 digits, 08 Apr 2023, Riecoin #1910381)

196841494340711892554595582756289276856721559100864771964646447803208653136525492801907737791588071309363
· 499# + 302000014586513 + d, d = 0, 6, 8, 14, 18, 20, 24, 26 (311 digits, 07 Apr 2023, Riecoin #1909565)



March 2023

Prime 12-tuplet

10000000000000000000000000006876397591080310208791 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 26 Mar 2023, Norman Luhn)
10000000000000000000000000006242835943691140298611 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 25 Mar 2023, Norman Luhn)
10000000000000000000000000001946918538514862267461 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30, 32, 36, 42 (50 digits, 20 Mar 2023, Norman Luhn)

Prime 9-tuplet

(Top-10)
1628310212800330650680875193463302528297524858575252703732019584033146050060402902119214625070
· 491# + 437171043550511 + d, d = 0, 2, 6, 8, 12, 18, 20, 26, 30 (297 digits, 25 Mar 2023, Riecoin #1902419)

Prime Quintuplet

(Smallest with 1200 digits to given pattern)
101199 + 7033048489975137 + d, d = 0, 4, 6, 10, 12 (1200 digits, 17 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 20483870459152351 + d, d = 0, 2, 6, 8, 12 (1200 digits, 03 Mar 2023, Norman Luhn, Primo 3.0.9)

Prime Quadruplet

101199 + 7033048489975141 + d, d = 0, 2, 6, 8 (1200 digits, 17 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 6004256061183391 + d, d = 0, 2, 6, 8 (1200 digits, 15 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5926616869226071 + d, d = 0, 2, 6, 8 (1200 digits, 15 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5742442546176481 + d, d = 0, 2, 6, 8 (1200 digits, 11 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5634472199017891 + d, d = 0, 2, 6, 8 (1200 digits, 14 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5513806678832701 + d, d = 0, 2, 6, 8 (1200 digits, 14 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4853701936534561 + d, d = 0, 2, 6, 8 (1200 digits, 13 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4138091729223001 + d, d = 0, 2, 6, 8 (1200 digits, 11 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 3821183309444701 + d, d = 0, 2, 6, 8 (1200 digits, 11 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 3492866608354471 + d, d = 0, 2, 6, 8 (1200 digits, 11 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 2642600263578931 + d, d = 0, 2, 6, 8 (1200 digits, 09 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 2262612611144911 + d, d = 0, 2, 6, 8 (1200 digits, 08 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 2199087942368881 + d, d = 0, 2, 6, 8 (1200 digits, 08 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 2143937486091931 + d, d = 0, 2, 6, 8 (1200 digits, 08 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 2055061424135731 + d, d = 0, 2, 6, 8 (1200 digits, 07 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 639476195916451 + d, d = 0, 2, 6, 8 (1200 digits, 05 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 622270513428121 + d, d = 0, 2, 6, 8 (1200 digits, 05 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 607591082348941 + d, d = 0, 2, 6, 8 (1200 digits, 05 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 595219120791391 + d, d = 0, 2, 6, 8 (1200 digits, 05 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 445410300394561 + d, d = 0, 2, 6, 8 (1200 digits, 05 Mar 2023, Norman Luhn, Primo 3.0.9)

101199 + 20483870459152351 + d, d = 0, 2, 6, 8 (1200 digits, 03 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 20342935650573541 + d, d = 0, 2, 6, 8 (1200 digits, 03 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 20062736070212491 + d, d = 0, 2, 6, 8 (1200 digits, 02 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 19343793031831981 + d, d = 0, 2, 6, 8 (1200 digits, 01 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 19284643737164041 + d, d = 0, 2, 6, 8 (1200 digits, 01 Mar 2023, Norman Luhn, Primo 3.0.9)
101199 + 19263034920088231 + d, d = 0, 2, 6, 8 (1200 digits, 01 Mar 2023, Norman Luhn, Primo 3.0.9)


February 2023

Prime Quadruplet

101199 + 18599722676736571 + d, d = 0, 2, 6, 8 (1200 digits, 28 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 17937987565038631 + d, d = 0, 2, 6, 8 (1200 digits, 26 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 17839839451724821 + d, d = 0, 2, 6, 8 (1200 digits, 26 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 17553219226787341 + d, d = 0, 2, 6, 8 (1200 digits, 26 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 17462054439853021 + d, d = 0, 2, 6, 8 (1200 digits, 26 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 17125615557074191 + d, d = 0, 2, 6, 8 (1200 digits, 25 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 17105995250802001 + d, d = 0, 2, 6, 8 (1200 digits, 25 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 16926909031645171 + d, d = 0, 2, 6, 8 (1200 digits, 24 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 16926909031645171 + d, d = 0, 2, 6, 8 (1200 digits, 24 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 16781256333647041 + d, d = 0, 2, 6, 8 (1200 digits, 24 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 16386174833039821 + d, d = 0, 2, 6, 8 (1200 digits, 23 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 16240010478268771 + d, d = 0, 2, 6, 8 (1200 digits, 23 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 15358726522062811 + d, d = 0, 2, 6, 8 (1200 digits, 22 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 15065528222241691 + d, d = 0, 2, 6, 8 (1200 digits, 21 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 15011762190963481 + d, d = 0, 2, 6, 8 (1200 digits, 21 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 14901358958914441 + d, d = 0, 2, 6, 8 (1200 digits, 20 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 14898061501989811 + d, d = 0, 2, 6, 8 (1200 digits, 20 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 14693555472736321 + d, d = 0, 2, 6, 8 (1200 digits, 20 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 13448019419869501 + d, d = 0, 2, 6, 8 (1200 digits, 18 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 13330360389098101 + d, d = 0, 2, 6, 8 (1200 digits, 18 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 13053823794479011 + d, d = 0, 2, 6, 8 (1200 digits, 17 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 12381551811789151 + d, d = 0, 2, 6, 8 (1200 digits, 16 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 12323515288648681 + d, d = 0, 2, 6, 8 (1200 digits, 16 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 11856033817749511 + d, d = 0, 2, 6, 8 (1200 digits, 15 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 11766867720474781 + d, d = 0, 2, 6, 8 (1200 digits, 15 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 11352217567878031 + d, d = 0, 2, 6, 8 (1200 digits, 14 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 11086113630796531 + d, d = 0, 2, 6, 8 (1200 digits, 13 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 10276244385692941 + d, d = 0, 2, 6, 8 (1200 digits, 12 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 10088994638410651 + d, d = 0, 2, 6, 8 (1200 digits, 11 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 10074065234597251 + d, d = 0, 2, 6, 8 (1200 digits, 11 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 9556349488730491 + d, d = 0, 2, 6, 8 (1200 digits, 10 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 9509192455304401 + d, d = 0, 2, 6, 8 (1200 digits, 10 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 9425779868480611 + d, d = 0, 2, 6, 8 (1200 digits, 10 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 8850606512452081 + d, d = 0, 2, 6, 8 (1200 digits, 09 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 8623634885583661 + d, d = 0, 2, 6, 8 (1200 digits, 09 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 8104898787398971 + d, d = 0, 2, 6, 8 (1200 digits, 08 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7995872279540851 + d, d = 0, 2, 6, 8 (1200 digits, 08 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7723138601677141 + d, d = 0, 2, 6, 8 (1200 digits, 07 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7609144554135571 + d, d = 0, 2, 6, 8 (1200 digits, 07 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7537272628881211 + d, d = 0, 2, 6, 8 (1200 digits, 07 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7474389603389791 + d, d = 0, 2, 6, 8 (1200 digits, 07 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7456497907325311 + d, d = 0, 2, 6, 8 (1200 digits, 07 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 7424971475386561 + d, d = 0, 2, 6, 8 (1200 digits, 07 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 6849832237969531 + d, d = 0, 2, 6, 8 (1200 digits, 06 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 6145359254868391 + d, d = 0, 2, 6, 8 (1200 digits, 04 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5919425802050851 + d, d = 0, 2, 6, 8 (1200 digits, 04 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5682338065122991 + d, d = 0, 2, 6, 8 (1200 digits, 03 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 5607515551193191 + d, d = 0, 2, 6, 8 (1200 digits, 03 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4621470157504681 + d, d = 0, 2, 6, 8 (1200 digits, 02 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4633177748621911 + d, d = 0, 2, 6, 8 (1200 digits, 02 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4392048689125201 + d, d = 0, 2, 6, 8 (1200 digits, 01 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4198040892424651 + d, d = 0, 2, 6, 8 (1200 digits, 01 Feb 2023, Norman Luhn, Primo 3.0.9)
101199 + 4115441440151761 + d, d = 0, 2, 6, 8 (1200 digits, 01 Feb 2023, Norman Luhn, Primo 3.0.9)

Prime Twins

268981272 · 569421 ± 1 (48532 digits, 09 Feb 2023, Ruben Steinberg, NewPGen, LLR)


January 2023

Prime 8-tuplet

(NEW RECORD!)
17823192282008874449172703428792123231110 · 771# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20, 26 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)

Prime 7-tuplet

17823436097302039011383530397574638170734 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823429667990098910404937524728999750239 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823427931355237791135579059273253342104 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823424548404400585693182916303260773687 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823423197963241682981949738836473771455 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823416716191253381804284202848071984717 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823414400573041871291424956701398149655 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823395607000756418386202687344780858155 · 771# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823395313132119851258012363579187776140 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823378657566135406513780809429899182695 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823364945976769732374540065191213326069 · 771# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823333150253622197544541703451496996894 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823330645688366966472639130058555817315 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823320155731403192769189850164718772733 · 771# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823315524769224152336591971189349786299 · 771# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823303601354768684574771327340620402832 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823298834391187606717265481952974912256 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823297256822560443262652326587043288471 · 771# + 145888993435301 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823295474769758314079668768605566571776 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823295325077896281045216011044124484942 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823293547309027478967115044099881717509 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823291810843552899383566059545463415893 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823291571555696638048103176067675322587 · 771# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823281654281404032540144032288524890002 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823277265670229192490456798173307113880 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823264455045580836981643429591945736581 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823262824187451289612897324878355420733 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823255629205308363026165417554481457896 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823251459228642041262874919990992678727 · 771# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823248637341367356725765205571710190920 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823242109050540979846154666488495606704 · 771# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823239531891884907476533943700934016921 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823236970452368123525999085347988595043 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823233374135511923823106239220688804699 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823232974198721415960501439482172444150 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823230407635353046321834939257753027387 · 771# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823229467418612507560242408260039090759 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823222428005724440808157160386871400021 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823207179204390493198484095573790365095 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823205943505251979880654478149907648171 · 771# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823204026913912219187258709465814589184 · 771# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823197864846841109160452255456375552262 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823195934383437425570798625930515371798 · 771# + 114355384736051 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823192282008874449172703428792123231110 · 771# + 145933845312371 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823189253192386553610481297940623930500 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823186778936616918307956623961096396904 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823186609300368147228408241016615404663 · 771# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823183834086131735437697547985358091586 · 771# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
17823180728745836477341215916942702886302 · 771# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (362 digits, 12 Jan 2023, Michalis Christou, rieMiner)
697726782827410629447527124625083441554 · 701# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697726749884407284782155145957002078262 · 701# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697724860074482915517582742212275916577 · 701# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697723724383822052415952390245967108194 · 701# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697722353410953906259188694306355654632 · 701# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697721148887372631373509083104427151882 · 701# + 145844141558231 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697720939728203602479768336102868886186 · 701# + 114189340938131 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697720910742878845695208381921742192701 · 701# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697719936081847595570667904934008731368 · 701# + 114023297140211 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697718961391160013883063795710357985688 · 701# + 145799289681161 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)
697717528841183375271863686986452310062 · 701# + 114521428533971 + d, d = 0, 2, 6, 8, 12, 18, 20 (332 digits, 28 Apr 2022, Michalis Christou, rieMiner)

Prime Quadruplet

101199 + 3395043105432691 + d, d = 0, 2, 6, 8 (1200 digits, 30 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 2992214332315171 + d, d = 0, 2, 6, 8 (1200 digits, 30 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 2845460437837981 + d, d = 0, 2, 6, 8 (1200 digits, 29 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 1926237071384281 + d, d = 0, 2, 6, 8 (1200 digits, 28 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 1722732912181231 + d, d = 0, 2, 6, 8 (1200 digits, 27 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 1703886849105901 + d, d = 0, 2, 6, 8 (1200 digits, 27 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 1358178855492451 + d, d = 0, 2, 6, 8 (1200 digits, 26 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 1228597253970091 + d, d = 0, 2, 6, 8 (1200 digits, 26 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 806227487585701 + d, d = 0, 2, 6, 8 (1200 digits, 25 Jan 2023, Norman Luhn, Primo 3.0.9)
101199 + 213400951768801 + d, d = 0, 2, 6, 8 (1200 digits, 25 Jan 2023, Norman Luhn, Primo 3.0.9)