Cunningham Chain records

Record list created and maintained by Dirk Augustin. Hosted by Jens Kruse Andersen (home)

Part 1, longest CC's
Part 2, smallest existing CC's of given length
Part 3, largest known CC's of given length:   2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Part 4, record history for length:   2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Part 5, programs that were used
Links

Cunningham Chain records (last updated: March 26th, 2014)
---------------------------------------------------------

NEWSFLASH:
Raanan Chermoni and Jaroslaw Wroblewski found another Cunningham chain of length 19!


Note:
A large Cunningham Chain (abbreviation: CC) of length n will be also listed 
in the section(s) for CC of length n-1, n-2, ..., if it is large enough.

A Cunningham Chain is a sequence of nearly doubled primes. One distinguishes between

Cunningham Chains of length n of the 1st kind:
n primes, each which is twice the proceeding one plus one;
for example (p, 2p+1, 4p+3, 8p+7) is a CC of length 4 of the 1st kind,
if each of the four numbers is prime,

Cunningham Chains of length n of the 2nd kind:
n primes, each which is twice the proceeding one minus one;
for example (p, 2p-1, 4p-3, 8p-7) is a CC of length 4 of the 2nd kind,
if each of the four numbers is prime,

In the following "CC2" stands for "Cunningham Chain of length 2",
"CC3" stands for "Cunningham Chain of length 3" and so on.

Only the first member of each CC is shown below!

As far as the programs that were used to find the CC are known
to me they are written in brackets!

Some of the records are marked with year-month-day or with month/year
instead of the year!


Part 1, longest CC's:
---------------------

Raanan Chermoni and Jaroslaw Wroblewski found CC's of length 18 and 19:
658189097608811942204322721 (27 digits, CC18, 2nd kind, 2014-MAR-09)
182927793839529342111307801 (27 digits, CC18, 2nd kind, 2014-MAR-08)
117302256313688977973793781 (27 digits, CC18, 2nd kind, 2014-MAR-08)
42008163485623434922152331 (26 digits, CC19, 2nd kind, 2014-MAR-15)
79910197721667870187016101 (26 digits, CC19, 2nd kind, 2014-MAR-23)

Jaroslaw Wroblewski found first CC's of length 17 in 2008:
2759832934171386593519 (22 digits, CC17, 1st kind, 05/08)
1302312696655394336638441 (25 digits, CC17, 2nd kind, 06/08)
127806074555607670094731 (24 digits,  CC17, 2nd kind, 06/08)
40244844789379926979141 (23 digits, CC17, 2nd kind, 06/08)

Tony Forbes found the first CC of length 16 in 1997:
3203000719597029781 (19 digits, CC16, 2nd kind, 12/97)



Part 2, smallest existing CC's of given length:
-----------------------------------------------

810433818265726529159 (21 digits, CC16, 1st kind, Carmody/Jobling, 02/02)
3203000719597029781 (19 digits, CC16, 2nd kind, Forbes, 12/97) 

69257563144280941 (17 digits, CC15, 2nd kind, Jobling, 1999)

95405042230542329 (17 digits, CC14, 1st kind, Jobling, 1999)
107588900851484911 (18 digits, CC14, 2nd kind, Jobling, 1999)

4090932431513069 (16 digits, CC13, 1st kind, Brennen, 1998)
758083947856951 (15 digits, CC13, 2nd kind, Loeh, 1989)

554688278429 (12 digits, CC12, 1st kind, Loeh, 1989)
216857744866621 (15 digits, CC12, 2nd kind, Loeh, 1989)

665043081119 (12 digits, CC11, 1st kind, Loeh, 1989)
1389122693971 (13 digits, CC11, 2nd kind, Loeh, 1989)

26089808579 (11 digits, CC10, 1st kind, Loeh, 1989)
205528443121 (12 digits, CC10, 2nd kind, Loeh, 1989)

85864769 (8 digits, CC9, 1st kind, Loeh, 1989)
857095381 (9 digits, CC9, 2nd kind, Loeh, 1989)

19099919 (8 digits, CC8, 1st kind, Nelson/Meeus, 1980/81)
15514861 (8 digits, CC8, 2nd kind, Lalout/Meeus, 1980/81)

1122659 (7 digits, CC7, 1st kind, Lehmer)
16651 (5 digits, CC7, 2nd kind, Lehmer)



Part 3, largest known CC's of given length:
-------------------------------------------


CC2, 1st kind:
--------------
18543637900515*2^666667-1, 200701 digits, 04/12, Bliedung (TwinGen/PrimeGrid/LLR)
183027*2^265440-1, 79911 digits, 03/10, Wu(sgsieve/LLR)
648621027630345*2^253824-1, 76424 digits, 18/11/09, Jarai/Farkas/Csajbok/Kasza/Jarai


CC2, 2nd kind:
--------------
648309*2^148310+1, 44652 digits, 07/10, Wu(sgsieve/LLR)
552903*2^136156+1, 40993 digits, 06/10, Wu(sgsieve/LLR)
163221*2^124600+1, 37514 digits, 12/09, Wu(sgsieve/LLR)


CC3, 1st kind:
--------------
914546877*2^34772-1, 10477 digits, 01/10, Wu(sgsieve/LLR)
379185609*2^27127-1, 8175 digits, 11/09, Wu(sgsieve/LLR)
164210699973*2^26326-1, 7937 digits, 08/06, Paridon(NewPGen/PFGW)


CC3, 2nd kind:
--------------
82659189*2^26997+1, 8135 digits, 03/10, Wu(sgsieve/LLR)
173028555*2^26993+1, 8134 digits, 02/10, Wu(sgsieve/LLR)
42989535*2^26543+1, 7998 digits, 03/10, Wu(sgsieve/LLR)


CC4, 1st kind:
--------------
1249097877*6599#-1, 2835 digits, 02/11, Angel(NewPGen/PFGW) 
119184698*5501#-1, 2354 digits, 06/05, Sun(NewPGen/PFGW)
2554760770*3733#-1, 1604 digits, 12/10, Angel(NewPGen/PFGW)


CC4, 2nd kind:
--------------
630698711*4933#+1, 2105 digits, 12/10, Angel(NewPGen/PFGW)
15731024858*4253#+1, 1829 digits, 11/10, Broadhurst(NewPGen/PFGW)
14177403615*4253#+1, 1829 digits, 11/10, Broadhurst(NewPGen/PFGW) 


CC5, 1st kind:
--------------
4250172704*2749#-1, 1183 digits, 03/12, Augustin(NewPGen/PFGW)
3237514755*2377#-1, 1016 digits, 01/11, Angel(NewPGen/PFGW)
357487161295*1693#-1, 727 digits, 05/08, Augustin(NewPGen/PFGW)


CC5, 2nd kind:
--------------
80670856865*2677#+1, 1140 digits, 01/11, Angel(NewPGen/PFGW) 
45008010405*2621#+1, 1116 digits, 07/10, Broadhurst(NewPGen/PFGW)
26128704354*2371#+1, 1014 digits, 04/11, DavisK/Underwood(NewPGen/PFGW)


CC6, 1st kind:
--------------
37488065464*1483#-1, 633 digits, 03/10, Augustin(NewPGen/PFGW)
687237198*1013#+1566180686069, 431 digits, 05/08, Wolter/Andersen(Primo)
33692909611*977#-1, 417 digits, 10/04, Augustin(NewPGen/PFGW)


CC6, 2nd kind:
--------------
480112483568*1511#+1, 650 digits, 2014-MAR-10, Ístlin(NewPGen/PFGW)
37783362904*1097#+1, 475 digits, 06/06, Augustin(NewPGen/PFGW)
974518244*823#+24864599761, 351 digits, 04/08, Wolter/Andersen(Primo)


CC7, 1st kind:
--------------
162597166369*827#-1, 356 digits, 2010-JUL, Augustin(NewPGen/PFGW)
1178137903623*661#-1, 291 digits, 2008-JUL, Augustin(NewPGen/PFGW)
143351934842155455288566447745524617090795328441465424229654347564812333009130760*401#-1, 244 digits, 2013-JUL-09, Primecoin


CC7, 2nd kind:
--------------
1716141364*593#+1, 251 digits, 2011-JUL, Augustin(NewPGen/PFGW)
668302064*593#+786153598231, 251 digits, 2008-MAY, Wolter/Andersen(Primo)
414792720846*557#+1, 237 digits, 2006-MAR, Augustin(NewPGen/PFGW)


CC8, 1st kind:
--------------
2*65728407627*431#-1, 186 digits, 2005-AUG, Augustin(NewPGen/PFGW)
202481655873002096735984889920245454199942893595499311645256923096136682328027000*223#-1, 167 digits, 2013-JUL-10, Primecoin
376362714990222746083196951115318786002126448444251479996297861039859992309451832*181#-1, 154 digits, 2013-JUL-10, Primecoin


CC8, 2nd kind:
--------------
1148424905221*509#+1, 224 digits, 2010-AUG, Augustin(NewPGen/PFGW)
10621228698858016115817591384137059953144670298276251477213846312226455423876956*257#+1, 183 digits, 2013-JUL-13, Primecoin
2*182887101390961871050645934589918687746535370612015546956692154622371784133412186*223#+1, 168 digits, 2013-JUL-23, Primecoin


CC9, 1st kind:
--------------
65728407627*431#-1, 185 digits, 2005-AUG, Augustin(NewPGen/PFGW)
203079313818447426942005216333859268821258845418530474979400658085878842442579969*179#-1, 151 digits, 2013-JUL-17, Primecoin
434997657361738473937348021294525182129493369448898452162781670965637314232275720*173#-1, 149 digits, 2013-JUL-30, Primecoin


CC9, 2nd kind:
--------------
182887101390961871050645934589918687746535370612015546956692154622371784133412186*223#+1, 167 digits, 2013-JUL-23, Primecoin
326715355352350972893381745676353435171008659029059646631240926699147385033998869*193#+1, 158 digits, 2013-JUL-09, Primecoin
246962267794446781326643717342766767856679785052647909671892845569505725277417100*163#+1,  145 digits, 2013-JUL-26, Primecoin


CC10, 1st kind:
---------------
44598464649019035883154084128331646888059795218766083584048621139159337786287845212160000*149#-1, 146 digits, 2013-Sep-27, Primecoin
718759059206365847987063730567863719679963739353927362118602196258872308129468558*151#-1, 141 digits, 2013-DEZ-28, Primecoin
2*73853903764168979088206401473739410396455001112581722569026969860983656346568919*151#-1, 140 digits, 2013-AUG-03, Primecoin


CC10, 2nd kind:
---------------
2361221366027763072635481564211745987513418780208430432809344944242307595601310582*139#+1, 137 digits, 2013-AUG-20, Primecoin
365786894014578761129185338773959350761158006363317966625072072333806348817813200*139#+1, 136 digits, 2013-OCT-31, Primecoin
3454275180334240905017134340986038499372717978206215333768584440118503685900848491*137#+1, 135 digits, 2013-OCT-25, Primecoin


CC11, 1st kind: 
--------------- 
73853903764168979088206401473739410396455001112581722569026969860983656346568919*151#-1, 140 digits, 2013-AUG-03, Primecoin
397146194319432735351828361368498572415833839171716172868658515395849798889548375*107#-1, 124 digits, 2013-AUG-06, Primecoin
1637500584584739427221887447708221597256110328671248525570945222609526852255204819*97#-1, 118 digits, 2013-DEZ-01, Primecoin


CC11, 2nd kind: 
---------------
8026337833619599372491948674562462668692014872229571339857384053514279156849912832*109#+1, 127 digits, 2014-JAN-18, Primecoin
433265674736039852691666715404311610533884627551475024377885130156140523670537916*89#+1, 116 digits, 2013-AUG-11, Primecoin
7489370716484166810257523317184455984654354752311951243934190360230006839477470176*83#+1, 115 digits, 2013-NOV-23, Primecoin


CC12, 1st kind: 
--------------- 
61592551716229060392971860549140211602858978086524024531871935735163762961673908480*71#*-1 , 110 digits, 2013-NOV-02, Primecoin
178811043947926524937518051044987491022433869417704220317907704222148116972528580*71#-1, 107 digits, 2014-FEB-03, Primecoin
2*106680560818292299253267832484567360951928953599522278361651385665522443588804123392*61#-1, 107 digits, 2014-JAN-20, Primecoin


CC12, 2nd kind: 
---------------
160433998429454286861864982184342218645773889300991352796925862298096263175269000*73#+1, 109 digits, 2013-DEZ-21, Primecoin
3018970250978499232353420274403370309649101023080062032175680183412679387197178760*71#+1, 109 digits, 2014-JAN-25, Primecoin
1017952855523794483976279548784416776102707765351998068553397425706308415435118489600*59#+1, 106 digits, 2014-JAN-16, Primecoin


CC13, 1st kind: 
--------------- 
106680560818292299253267832484567360951928953599522278361651385665522443588804123392*61#-1, 107 digits, 2014-JAN-20, Primecoin
15803900636646451451695813739731787824380849433417882184165713172795957150020249344*47#-1, 100 digits, 2014-FEB-10, Primecoin
1753286498051*71#-1, 39 digits, 2005-DEZ, Augustin(NewPGen/PFGW)


CC13, 2nd kind: 
---------------
457905006824220038355933583213167637693837605663532362031057034656375497233892960*37#+1, 94 digits, 2014-JAN-26, Primecoin
10756750720700195380397697188448178460115725467111771468875842964723844354555016704*31#+1, 94 digits, 2013-SEP-10, Primecoin
2*335898524600734221050749906451371-1, 33 digits, 2008-AUG, Andersen(Primo)


CC14, 1st kind: 
--------------- 
62124534089200*37#-1, 27 digits, 2014-JAN, Augustin(NewPGen/PFGW)
9510321949318457733566099, 25 digits, 2004-JUN, Andersen(Primo)
25514979074338597984139, 23 digits, 2004-DEZ, Alm/Andersen(Primo) 


CC14, 2nd kind: 
---------------
335898524600734221050749906451371, 33 digits, 08/08, Andersen(Primo) 
2*28320350134887132315879689643841-1, 32 digits, 17/06/08, Wroblewski
36027516322668108492823293067201, 32 digits, 17/06/08, Wroblewski


CC15, 1st kind: 
--------------- 
662311489517467124375039, 24 digits, 29/05/08, Wroblewski
196426752643710966405599, 24 digits, 28/05/08, Wroblewski
11993367147962683402919, 23 digits, 10/04, Alm/Andersen(Primo)


CC15, 2nd kind: 
--------------- 
28320350134887132315879689643841, 32 digits, 2008-JUN-17, Wroblewski
8*658189097608811942204322721-1, 28 digits, 2014-MAR-09, Chermoni/Wroblewski
2*2368823992523350998418445521-1, 28 digits, 2008-JUN-26, Wroblewski


CC16, 1st kind: 
--------------- 
91304653283578934559359, 23 digits, 29/05/08, Wroblewski
2*2759832934171386593519+1, 22 digits, 27/05/08, Wroblewski
892390227741617675069, 21 digits, 02/02, Carmody/Jobling(GenSv)


CC16, 2nd kind: 
--------------- 
4*658189097608811942204322721-1, 28 digits, 2014-MAR-09, Chermoni/Wroblewski
2368823992523350998418445521, 28 digits, 2008-JUN-26, Wroblewski
2*465463467291895470464386321-1, 27 digits, 2014-MAR-08, Chermoni/Wroblewski


CC17, 1st kind: 
--------------- 
2759832934171386593519, 22 digits, 27/05/08, Wroblewski


CC17, 2nd kind: 
--------------- 
2*658189097608811942204322721-1, 28 digits, 2014-MAR-09, Chermoni/Wroblewski
465463467291895470464386321, 27 digits, 2014-MAR-08, Chermoni/Wroblewski
2*182927793839529342111307801-1, 27 digits, 2014-MAR-08, Chermoni/Wroblewski


CC18, 2nd kind:
---------------
658189097608811942204322721, 27 digits, 2014-MAR-09, Chermoni/Wroblewski
182927793839529342111307801, 27 digits, 2014-MAR-08, Chermoni/Wroblewski
2*79910197721667870187016101-1, 27 digits, 2014-MAR-23, Chermoni/Wroblewski


CC19, 2nd kind:
---------------
79910197721667870187016101, 26 digits, 2014-MAR-23, Chermoni/Wroblewski
42008163485623434922152331, 26 digits, 2014-MAR-15, Chermoni/Wroblewski


Part 4, record history
-----------------------


CC2, 1st (Sophie Germain):
--------------------------
200701 digits, 04/12, Bliedung (TwinGen/PrimeGrid/LLR) (18543637900515*2^666667-1)
79911 digits, 03/10, Wu(sgsieve/LLR) (183027*2^265440-1)
76424 digits, 18/11/2009, Jarai/Farkas/Csajbok/Kasza/Jarai (648621027630345*2^253824-1)
76424 digits, 02/11/2009, Jarai/Farkas/Csajbok/Kasza/Jarai (620366307356565*2^253824-1)
53081 digits, 09/09, Wu(LLR) (607095*2^176311-1)
51910 digits, 01/07, Underbakke(TwinGen/LLR) (48047305725*2^172403-1)
51780 digits, 05/06, Jarai/Farkas/Csajbok/Kasza/Jarai (137211941292195*2^171960-1)
36523 digits, 01/05, Predrag Minovic(TwinGen/LLR) (7068555*2^121301-1) 
34547 digits, 01/03, Underbakke(TwinGen/PRP/Proth) (2540041185*2^114729-1)
29628 digits, 11/02, Angel/Augustin/Jobling(NewPGen/PFGW) (18912879*2^98395-1)
24432 digits, 08/02, Angel/Augustin/Jobling(NewPGen/PFGW/Proth) (1213822389*2^81131-1)
20013 digits, 02/01, Underbakke(NewPGen/Proth) (109433307*2^66452-1)
18075 digits, 03/00, Indlekofer/Jarai/Wassing (3714089895285*2^60000-1)
 9853 digits, 01/00, Lifchitz (18131*22817#-1)
 9825 digits, 1999, KerchnerIII(Proth) (18458709*2^32611-1)
 7285 digits, 1999, KerchnerIII(Proth) (14516877*2^24176-1)
 7119 digits, 1998, Gallot (72021*2^23630-1)
 5726 digits, 1998, Ballinger(Proth) (276311*2^19003+1)
 5122 digits, 1998, KerchnerIII(Proth) (92305*2^16998+1)
 5082 digits, 1995, Dubner (8069496435*10^5072-1)
 4932 digits, 1995, Jarai/Indlekofer (470943129*2^16352-1)
 4536 digits, 1994, Dubner (5415312903*10^4526-1)
 3010 digits, 1993, Dubner (47013511545*10^2999-1)
 2039 digits, 1992, Dubner (2926924*10^2032+1)
 1863 digits, 1990, Dubner (713851138*10^1854+1)
 1812 digits, 1987, Keller (39051*2^6001-1)


CC2, 2nd:
---------
44652 digits, 07/10, Wu(sgsieve/LLR) (648309*2^148310+1)
40993 digits, 06/10, Wu(sgsieve/LLR) (552903*2^136156+1)
37514 digits, 12/09, Wu(sgsieve/LLR) (163221*2^124600+1)
31430 digits, 11/09, Wu(sgsieve/LLR) (532323*2^104389+1)
28060 digits, 08/09, Augustin(NewPGen/PFGW) (581627055*2^93181+1)
24092 digits, 05/07, Nair(NewPGen/LLR) (3853775193*2^80000+1)
23593 digits, 04/04, Sun(PRP/NewPGen/Proth) (1504084599*2^78341+1)
15840 digits, 12/03, Sun(PRP/NewPGen/Proth) (863710323*2^52588+1)
15060 digits, 11/03, Chaffy(Proth) (55003425*2^50000+1)
15000 digits, 2003, Rouse(Proth) (164581485*2^49800+1)
12116 digits, 11/00, Augustin/Jobling(NewPGen/PRP) (675558849*2^40217+1)
10264 digits, 1998, Lifchitz/Gallot (16769025*2^34071+1)
 7190 digits, 1993, Young (but recognized as CC2 many years later) (15015*2^23870+1)


CC3:
----
10477 digits, 01/10, Wu(sgsieve/LLR) (914546877*2^34772-1)
8175 digits, 11/09, Wu(sgsieve/LLR) (379185609*2^27127-1)
7937 digits, 08/06, Paridon(NewPGen/PFGW) (164210699973*2^26326-1)
6038 digits, 04/05, Sun(NewPGen/PFGW) (3020255265*2^20023-1)
5189 digits, 10/04, Sun(NewPGen/PFGW) (2366867925*2^17206+1)
4807 digits, 07/04, Sun(NewPGen/PFGW) (2288999415*2^15937-1)
4574 digits, 10/02, Angel/Augustin/Jobling(NewPGen/PRP/Proth) (1110159213*2^15164+1)
3713 digits, 09/02, Herranen(PFGW) (5040102231*2^12301-1)
3710 digits, 07/02, Angel/Augustin/Jobling(NewPGen/PFGW/Proth) (268382583*2^12294-1)
3086 digits, 09/01, Angel/Augustin/Jobling(NewPGen/PRP/Proth) (1838313165*2^10219-1)
3052 digits, 08/01, Angel/Augustin/Jobling(NewPGen/PRP/Proth) (1531785651*2^10107+1)
2475 digits, 2000, Nikkel,St./Nikkel,T.(Proth) (1361835195*2^8191+1)
2006 digits, 06/00, Augustin/Jobling(NewPGen/PFGW) (1568753260*4673#+1)
2004 digits, 2000, Scott/Gallot (1999446945*2^6626-1)
1515 digits, 1998, Roonguthai(Proth) (734257203*2^5000+1)
1213 digits, 20/5/98, Roonguthai(Proth) (384205437*2^4000-1)
1000 digits, 7/5/98, Roonguthai(Proth 4.01) (651358155*2^3291-1)


CC4:
----
2835 digits, 02/11, Angel(NewPGen/PFGW) (1249097877*6599#-1)
2354 digits, 06/05, Sun(NewPGen/PFGW) (119184698*5501#-1)
1770 digits, 03/05, Sun(NewPGen/PrimeForm) (1453501013*4127#+1)
1711 digits, 04/04, Sun(NewPGen/PrimeForm) (153344568*4001#+1)
1313 digits, 01/03, Broadhurst(PrimeForm) (131853904032*3061#+1)
1308 digits, 10/02, Angel/Augustin/Jobling(NewPGen/PFGW) (1707223185*3049#-1)
1303 digits, 09/02, Angel/Augustin/Jobling(NewPGen/PFGW) (356701232*3041#+1)
1117 digits, 09/01, Frind(NewPGen/PFGW) (433098705*2633#-1)
1019 digits, 08/00, Augustin/Jobling(NewPGen/PFGW) (742155874*2381#-1)
 506 digits, 17/6/00, Augustin(NewPGen/PFGW) (92406026*1187#+1)
 429 digits, 10/6/00, Augustin(NewPGen/PFGW) (35443364*1013#-1)
 301 digits, 01/00, Augustin(Proth) (164285535*2^972+1)
 241 digits, 10/99, Augustin(Proth) (723592485*2^770+1)


CC5:
----
1183 digits, 03/12, Augustin(NewPGen/PFGW) (4250172704*2749#-1)
1140 digits, 01/11, Angel(NewPGen/PFGW) (80670856865*2677#+1)
1116 digits, 07/10, Broadhurst(NewPGen/PFGW) (45008010405*2621#+1)
727 digits, 05/08, Augustin(NewPGen/PFGW) (357487161295*1693#-1)
613 digits, 11/04, Augustin(NewPGen/PFGW) (1719674368*1447#+1)
540 digits, 09/04, Andersen(Primo) (496391760*1277#+325305140161)
509 digits, 02/02, Augustin(NewPGen/PFGW) (51946113*1193#+1)
460 digits, 11/01, Augustin(NewPGen/PFGW) (148809453*1069#-1)
422 digits, 08/01, Frind(NewPGen/PFGW) (828114253*991#-1)
407 digits, 08/00, Augustin(NewPGen/PFGW) (504856309*953#-1)
339 digits, 07/00, Augustin(NewPGen/PFGW) (427383180*797#-1)
257 digits, 20/06/00, Augustin(NewPGen/PFGW) (1217763452*601#-1)
207 digits, 07/06/00, Augustin(NewPGen/PFGW) (206262090*479#-1)
115 digits, 03/00, Augustin(NewPGen/Proth) (463419585*2^353-1)
102 digits, 01/00, Augustin(Proth) (518179995*2^308+1)
 86 digits, 12/99, Augustin(Proth) (96952995*2^258-1)
 78 digits, 11/99, Jobling (9006546615*2^223-1)
 76 digits, 10/99, Augustin(Proth) (392651625*2^222+1)


CC6:
----
650 digits, 2014-MAR-10, Ístlin(NewPGen/PFGW) (480112483568*1511#+1)
633 digits, 03/10, Augustin(NewPGen/PFGW) (37488065464*1483#-1)
475 digits, 06/06, Augustin(NewPGen/PFGW) (37783362904*1097#+1)
417 digits, 10/04, Augustin(NewPGen/PFGW) (33692909611*977#-1)
336 digits, 09/04, Andersen(Primo) (703632724*787#+94265010841)
318 digits, 09/04, Augustin(NewPGen/PFGW) (42693782492*739#+1)
279 digits, 09/04, Andersen(Primo) (2197316072*647#+105063678721)
222 digits, 01/03, Chaffey (6302319587*509#+1)
213 digits, 09/01, Augustin(NewPGen/PFGW) (716250935*491#-1)
208 digits, 08/00, Augustin(NewPGen/PFGW) (1056231420*479#+1)
142 digits, 20/06/00, Augustin(NewPGen/PFGW) (388562456*331#+1)
120 digits, 03/06/00, Augustin(NewPGen/PFGW) (2*305372608*271#+1)
 85 digits, 26/10/99, Augustin(Proth) (620060805*2^252-1)
 56 digits, 19/10/99, Augustin(Proth) (505054485*2^154-1)


CC7:
----
356 digits, 07/10, Augustin(NewPGen/PFGW) (162597166369*827#-1)
291 digits, 07/08, Augustin(NewPGen/PFGW) (1178137903623*661#-1)
251 digits, 05/08, Wolter/Andersen(Primo) (668302064*593#+786153598231)
237 digits, 03/06, Augustin(NewPGen/PFGW) (414792720846*557#+1)
218 digits, 02/06, Andersen(Primo) (782350985*503#+2189997811)
211 digits, 11/04, Augustin(NewPGen/PFGW) (14180848107*487#-1)
165 digits, 05/04, Alm/Andersen(Primo) (472063086*383#+1236845609)
153 digits, 06/02, Augustin(NewPGen/PFGW) (406605710992*349#-1)
128 digits, 09/01, Augustin(NewPGen/PFGW) (2310290388*283#+1)
123 digits, 08/00, Augustin(NewPGen/PFGW) (1701815519*277#+1)
 87 digits, 07/00, Augustin(NewPGen/PFGW) (843616025*193#+1)
 69 digits, 06/00, Augustin(NewPGen/PFGW) (1953370903*151#-1)
 43 digits, 12/99, Jobling (460668119835*2^101-1)
 31 digits, 11/99, Augustin/Jobling(Primeform) (27215953890276787*37#*2^3-1)
 27 digits, 10/99, Augustin(Proth) (666325605*2^60+1)


CC8:
----
224 digits, 2010-AUG, Augustin(NewPGen/PFGW) (1148424905221*509#+1)
186 digits, 08/05, Augustin(NewPGen/PFGW) (2*65728407627*431#-1)
135 digits, 05/04, Alm/Andersen(Primo) (1352438530*311#+5705699)
103 digits, 06/02, Augustin(NewPGen/PFGW) (177497325593*229#+1)
 82 digits, 06/00, Augustin(NewPGen/PFGW) (548879116*181#-1)
 52 digits, 13/6/00, Augustin(NewPGen/PFGW) (1831430532*107#+1)
 44 digits, 1/6/00, Augustin(NewPGen/PFGW) (1742368093*89#-1)
 25 digits, 03/00, Augustin(NewPGen/Proth) (1360673835*2^50-1)
 23 digits, 12/99, Jobling (36097525695*2^41-1)


CC9:
----
185 digits, 2005-AUG, Augustin(NewPGen/PFGW) (65728407627*431#-1)
94 digits, 05/04, Alm/Andersen(Primo) (745395266*211#+1503602101)
58 digits, 04/01, Augustin(NewPGen/PFGW) (2093307780*127#-1)
50 digits, 12/00, Augustin(NewPGen/PFGW) (1061169280*103#+1)
37 digits, 10/00, Augustin(NewPGen/PFGW) (43105142*73#+1)


CC10:
-----
146 digits, 2013-Sep-27, Primecoin (44598464649019035883154084128331646888059795218766083584048621139159337786287845212160000*149#-1)
140 digits, 2013-AUG-03, Primecoin (2*73853903764168979088206401473739410396455001112581722569026969860983656346568919*151#-1)
130 digits, 2013-JUL-30, Primecoin (462437381164406137571238642026500487143562202130164203468923172902534686193803360*127#+1)
127 digits, 2013-JUL-26, Primecoin (56264173162248110557182990671699794423868532232638543675069282466016594777519178*113#+1)
123 digits, 2013-JUL-19, Primecoin (262499092615905868031715264868904084128264525100784340743363467708299618392967465*107#-1)
115 digits, 2013-JUL-18, Primecoin (124204185879546865064885473789426527077462683918304583642200186747726088560403328*89#+1)
114 digits, 2013-JUL-17, Primecoin (412406801624694938044523477936948391896313088313421313799025296390261745671407240*83#-1)
113 digits, 2013-JUL-13, Primecoin (245733408934030585360992778759621360588058894402905285648919156928156545458241886*83#-1)
109 digits, 2009-JUL, Augustin(NewPGen/PFGW) (1070828503293*239#+1)
99 digits, 05/09, Augustin(NewPGen/PFGW) (1324846487162*223#-1)
84 digits, 10/05, Augustin(NewPGen/PFGW) (145683282311*181#+1)
66 digits, 05/04, Alm/Andersen(Primo) (3886637*151#+26473215718951)
51 digits, 06/02, Augustin(NewPGen/PFGW) (8296886802*103#+1)
39 digits, 15/12/00, Augustin(NewPGen/PFGW) (3440034726*73#-1)
33 digits, 3/12/00, Augustin(NewPGen/PFGW) (1308811392*61#-1)


CC11:
-----
140 digits, 2013-AUG-03, Primecoin (73853903764168979088206401473739410396455001112581722569026969860983656346568919*151#-1)
116 digits, 2013-JUL-26, Primecoin (566002435353389048470195154197633715327639809354150079355350346671860564824949963*89#-1)
113 digits, 2013-JUL-23, Primecoin (174304836888332595142407951525788751329051227164577255527856958439859830598690304*83#-1)
108 digits, 2013-JUL-22, Primecoin (488499712314488417016779441191681704321131667381809511540071609780532612839680260*71#-1)
108 digits, 2013-JUL-20, Primecoin (189431187381152056703213606148620440770958584332732508794815501069120395607727520*71#+1)
102 digits, 2013-JUL-18, Primecoin (107386119837124621814971704624900922741439953979550058923273511670890827552543392*59#-1)
98 digits, 2013-JUL-17, Primecoin (848029410248902405267951124411141542913902774598042414627002939891647628881358680*43#+1)
93 digits, 2013-JUL-16, Primecoin (105391885235180642837566579719340498344767363492888467130937411507174806414446905*37#-1)
91 digits, 2013-JUL-14, Primecoin (244904970375722028798242559069071350723679913437376658289613677305863972540773149*29#+1)
63 digits, 2008-DEZ, Augustin(NewPGen/PFGW) (2*13931865163581*127#+1)
56 digits, 02/06, Andersen(Primo) (2*(8428860*127#+212148902055091)-1)
53 digits, 12/05, Augustin(NewPGen/PFGW) (792619264990*103#+1)
50 digits, 05/04, Alm/Andersen(Primo) (4608461*107#+178414906509839)


CC12:
-----
110 digits, 2013-NOV-02, Primecoin (61592551716229060392971860549140211602858978086524024531871935735163762961673908480*71#*-1)
97 digits, 2013-OKT-12, Primecoin (27514366944545993668422567193822444315682837691915196563994783521784099031989503616*41#+1)
97 digits, 2013-JUL-21, Primecoin (263663326886409378473341387047271336974122837948496277769621396327294641140893808*43#+1)
62 digits, 2008-DEZ, Augustin(NewPGen/PFGW) (13931865163581*127#+1)
56 digits, 2006-FEB, Andersen(Primo) (8428860*127#+212148902055091)
42 digits, 2006-FEB, Andersen(Primo) (4431659*89#+440181861259139)
40 digits, 2005-DEZ, Augustin(NewPGen/PFGW) (2*1753286498051*71#-1)
37 digits, 2004-MAY, Alm/Andersen(Primo) (1307465*79#+11500298799989)


CC13:
----- 
107 digits, 2014-JAN-20, Primecoin (106680560818292299253267832484567360951928953599522278361651385665522443588804123392*61#-1)
94 digits, 2013-SEP-10, Primecoin (10756750720700195380397697188448178460115725467111771468875842964723844354555016704*31#+1)
39 digits, 2005-DEZ, Augustin(NewPGen/PFGW) (1753286498051*71#-1)
31 digits, 2004-MAY, Andersen(Primo) (938719*67#+56461354019071)


CC14:
-----
33 digits, 08/08, Andersen(Primo) (335898524600734221050749906451371)
32 digits, 17/06/08, Wroblewski (2*28320350134887132315879689643841-1)
31 digits, 14/06/08, Wroblewski (2354904873485081880414653783011)
31 digits, 06/06/08, Andersen(Primo) (2337673907855670908145009878491)
26 digits, 05/08, Wroblewski (20299226100350079536373721)
25 digits, 06/04, Andersen(Primo) (9510321949318457733566099)
21 digits, 1997, Forbes (385931755250345784479)


CC15:
-----
32 digits, 17/06/08, Wroblewski (28320350134887132315879689643841)
26 digits, 12/06/08, Wroblewski (71838292723844326926417601)
25 digits, 10/06/08, Wroblewski (5830768257311375388822241)
25 digits, 05/06/08, Wroblewski (2817673877915370357723841)
24 digits, 29/05/08, Wroblewski (662311489517467124375039)
24 digits, 28/05/08, Wroblewski (196426752643710966405599)
24 digits, 26/05/08, Wroblewski (105998574608115401372161)
23 digits, 25/05/08, Wroblewski (2*15745040405007366603151-1)
23 digits, 10/04, Alm/Andersen(Primo) (11993367147962683402919)
22 digits, ??, Forbes (4678714760875524493409)
20 digits, 09/97, Forbes (54269795934721528591)


CC16:
-----
28 digits, 2014-MAR-09, Chermoni/Wroblewski (4*658189097608811942204322721-1)
28 digits, 26/06/08, Wroblewski (2368823992523350998418445521)
26 digits, 12/06/08, Wroblewski (20193491108493165642344881)
25 digits, 10/06/08, Wroblewski (2*1302312696655394336638441-1)
24 digits, 08/06/08, Wroblewski (258296136493222766530021)
24 digits, 05/06/08, Wroblewski (2*127806074555607670094731-1)
23 digits, 29/05/08, Wroblewski (91304653283578934559359)
23 digits, 25/05/08, Wroblewski (15745040405007366603151)
21 digits, 02/02, Carmody/Jobling(GenSv) (892390227741617675069)
19 digits, 12/97, Forbes (3203000719597029781)


CC17:
-----
28 digits, 2014-MAR-09, Chermoni/Wroblewski (2*658189097608811942204322721-1)
27 digits, 2014-MAR-08, Chermoni/Wroblewski (465463467291895470464386321)
25 digits, 10/06/08, Wroblewski (1302312696655394336638441)
24 digits, 05/06/08, Wroblewski (127806074555607670094731)
23 digits, 05/06/08, Wroblewski (40244844789379926979141)
22 digits, 27/05/08, Wroblewski (2759832934171386593519)


CC18:
-----
27 digits, 2014-MAR-09, Chermoni/Wroblewski (658189097608811942204322721)
27 digits, 2014-MAR-08, Chermoni/Wroblewski (182927793839529342111307801)


CC19:
-----
26 digits, 2014-MAR-23, Chermoni/Wroblewski (79910197721667870187016101)
26 digits, 2014-MAR-15, Chermoni/Wroblewski (42008163485623434922152331)


Part 5, programs that were used:
--------------------------------


NewPGen:
--------
Sieving program mainly for numbers of the form
k*b^n+/-1, k*p#+/-1, written by Paul Jobling.

Visit http://www.utm.edu/research/primes/programs/NewPGen/


PFGW:
-----
Prime testing program which allows nearly every form
of numbers, written by  Chris Nash and speeded up with
some additional code from G.Woltman and Y.Gallot.

Visit http://pages.prodigy.net/chris_nash/primeform.html
or http://groups.yahoo.com/group/primeform


PRP:
----
Probable primality test program for numbers of the
form k*b^n+/-1, written by George Woltman.

Visit http://www.mersenne.org/gimps/


Proth:
------
Full primality test program for numbers of the form
k*b^n+/-1, written by Yves Gallot.

Visit http://www.utm.edu/research/primes/programs/gallot/


GenSv:
------
A Generic Siever for finding ultra-sparse forms, such as exceptionally
long Cunningham Chains. Used by Phil Carmody and Paul Jobling for their
longest records.
No URL yet, sorry. 


Primo:
------
Primo is a primality proving program based on the ECPP algorithm:
Elliptic Curve Primality Proving. It will test numbers that are 
not of any special form. 

Visit http://www.ellipsa.net/


TwinGen:
--------
TwinGen is a program to rapidly presieve a set of candidates of the 
form k.2n+/-1 and remove those candidates which are composite; 
written by David Underbakke.

Visit http://primes.utm.edu/bios/page.php?id=440


LLR:
----
Takes an input file from Paul Jobling's NewPgen, and proves the 
primality of numbers of the form k*.2^n-1 with k < 2^n; 
written by Jean Penne.

Visit http://primes.utm.edu/bios/page.php?id=431

sgsieve:
--------
A specialized sieving program developed by Tom Wu for sieving of 
Sophie-Germain candidates over a range of k and n values. 
It generates NewPGen/LLR-format output.

Visit http://primes.utm.edu/bios/code.php?code=L983

PrimeGrid
---------
PrimeGrid's primary goal is to bring the excitement of prime finding 
to the "everyday" computer user. By simply downloading and installing 
BOINC and attaching to the PrimeGrid project, participants can choose 
from a variety of prime forms to search. 

visit http:/www.primegrid.com


Primecoin
---------
Primecoin, developed by Sunny King, is the first proof-of-work based 
cryptocurrency that has come up with any kind of workable solution. 
The central premise of Primecoin is that, instead of useless SHA256 hashes, 
the proof of work protocol would require miners to find long chains of 
prime numbers (Cunningham chains and BiTwins).

visit http://ppcoin.org/primecoin


Remark:
-------
Sometimes the "old" Primeform was used to test the full primality 
of the members of a CC, but I have marked them all with PFGW 
because PFGW is the successor of Primeform.


Please send any new records, corrections or remarks to
dirk.augustin@gmx.de

This page started as a text file at
http://groups.yahoo.com/group/primenumbers/files/Prime Tables/Cunningham_Chain_records.txt
That file may currently contain an older version and is only accessible to subscribers of the Prime Numbers e-mail list.

Links:
------
Links to Chris Caldwell's The Prime Pages:
The Top Twenty: Cunningham Chain (1st kind) (only titanic primes)
The Top Twenty: Cunningham Chain (2nd kind) (only titanic primes)
The Prime Glossary: Cunningham Chain
The Prime Links++ list of Cunningham Chain links

Other links about CC's:
Carlos Rivera's The Prime Puzzles & Problem Connection: Problem 26.- The earliest Cunningham Chains.
Warut Roonguthai's Yves Gallot's Proth.exe and Cunningham Chains. (archived, last update in 2000)
Eric Weisstein's MathWorld, Cunningham Chain
Joseph McLean's Cunningham Chains (the primes are small)
Wikipedia: Cunningham chain

Pages with similar records:
Tony Forbes' Prime k-tuplets
Henri Lifchitz' BiTwin records
Jens Kruse Andersen's The largest known CPAP's
Jens Kruse Andersen's The Largest Known Simultaneous Primes