Factorizations of 11...11811...11

Table of contents

1. About 11...11811...11
   • First ten terms
   • General term
2. Prime numbers of the form 11...11811...11
   • Last update
   • Searched up to
   • Results
   • History
3. Factorizations of 11...11811...11
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 11...11811...11

First ten terms

181, 11811, 1118111, 111181111, 11111811111, 1111118111111, 111111181111111, 11111111811111111, 1111111118111111111, 111111111181111111111

General term

(10²ⁿ⁺¹+63·10ⁿ-1)/9

2. Prime numbers of the form 11...11811...11

Last update

Feb 19, 2012

Searched up to

n≤20000

Results

1. (10³+63·10¹-1)/9 = 181 is prime.
2. (10⁹+63·10⁴-1)/9 = 111181111 is prime.
3. (10¹³+63·10⁶-1)/9 = 1111118111111_<13> is prime.
4. (10¹⁵+63·10⁷-1)/9 = 111111181111111_<15> is prime.
5. (10⁷⁶⁹+63·10³⁸⁴-1)/9 = (1)₃₈₄8(1)_384<769> is prime. (Patrick De Geest / Sep 23, 2002)
6. (10¹³³³+63·10⁶⁶⁶-1)/9 = (1)₆₆₆8(1)_666<1333> is prime. (Jeff Heleen / Oct 2, 2002)
7. (10¹³⁵¹+63·10⁶⁷⁵-1)/9 = (1)₆₇₅8(1)_675<1351> is prime. (Jeff Heleen / Oct 2, 2002)
8. (10⁶³³¹+63·10³¹⁶⁵-1)/9 = (1)₃₁₆₅8(1)_3165<6331> is PRP. (Daniel Heuer / Oct 31, 2002)

History

1. Searched up to n≤20000

3. Factorizations of 11...11811...11

Last update

Jan 13, 2012

Completed up to

• n≤50 / Aug 6, 2004
• n≤75 / Sep 29, 2005
• n≤100 / Dec 30, 2011

Range

n≤150

Terms which have not been factored yet

n=102, 103, 104, 105, 112, 113, 114, 115, 117, 118, 119, 120, 121, 123, 125, 128, 129, 130, 132, 133, 134, 136, 137, 139, 141, 143, 144, 146, 147, 148, 150 (31/150)

Results

(10³+63·10¹-1)/9 =

181

= definitely prime number

(10⁵+63·10²-1)/9 =

11811

= 3 · 31 · 127

(10⁷+63·10³-1)/9 =

1118111

= 41 · 27271

(10⁹+63·10⁴-1)/9 =

111181111

= definitely prime number

(10¹¹+63·10⁵-1)/9 =

11111811111_<11>

= 3² · 47 · 3919 · 6703

(10¹³+63·10⁶-1)/9 =

1111118111111_<13>

= definitely prime number

(10¹⁵+63·10⁷-1)/9 =

111111181111111_<15>

= definitely prime number

(10¹⁷+63·10⁸-1)/9 =

11111111811111111_<17>

= 3 · 41 · 12973 · 77773 · 89533

(10¹⁹+63·10⁹-1)/9 =

1111111118111111111_<19>

= 311 · 13442441 · 265777961

(10²¹+63·10¹⁰-1)/9 =

111111111181111111111_<21>

= 69433249 · 1600257985639_<13>

(10²³+63·10¹¹-1)/9 =

11111111111811111111111_<23>

= 3 · 3453101 · 1072573233142337_<16>

(10²⁵+63·10¹²-1)/9 =

1111111111118111111111111_<25>

= 163 · 733 · 9299635175370660209_<19>

(10²⁷+63·10¹³-1)/9 =

111111111111181111111111111_<27>

= 19 · 41 · 142633005277511054057909_<24>

(10²⁹+63·10¹⁴-1)/9 =

11111111111111811111111111111_<29>

= 3² · 97 · 167 · 76212599619399078894521_<23>

(10³¹+63·10¹⁵-1)/9 =

1111111111111118111111111111111_<31>

= 41226589 · 26951322873476583549299_<23>

(10³³+63·10¹⁶-1)/9 =

111111111111111181111111111111111_<33>

= 29 · 3831417624521075210727969348659_<31>

(10³⁵+63·10¹⁷-1)/9 =

11111111111111111811111111111111111_<35>

= 3 · 31 · 43 · 47 · 59116433954824407224737626487_<29>

(10³⁷+63·10¹⁸-1)/9 =

1111111111111111118111111111111111111_<37>

= 41 · 127 · 1021 · 1277 · 6631567162943_<13> · 24679542299383_<14>

(10³⁹+63·10¹⁹-1)/9 =

111111111111111111181111111111111111111_<39>

= 67 · 758348388901_<12> · 2186824442399714167453033_<25>

(10⁴¹+63·10²⁰-1)/9 =

11111111111111111111811111111111111111111_<41>

= 3 · 659 · 31607 · 278147 · 59577923 · 10730199728306326129_<20>

(10⁴³+63·10²¹-1)/9 =

1111111111111111111118111111111111111111111_<43>

= 24810817738591_<14> · 44783332932347389337590957721_<29>

(10⁴⁵+63·10²²-1)/9 =

111111111111111111111181111111111111111111111_<45>

= 211 · 364073 · 1446393837649468730070462941649144437_<37>

(10⁴⁷+63·10²³-1)/9 =

11111111111111111111111811111111111111111111111_<47>

= 3³ · 41 · 83 · 120929366366399049978905444119144448918831_<42>

(10⁴⁹+63·10²⁴-1)/9 =

1111111111111111111111118111111111111111111111111_<49>

= 4999 · 4193097161239123829_<19> · 53007757037437814604106141_<26>

(10⁵¹+63·10²⁵-1)/9 =

111111111111111111111111181111111111111111111111111_<51>

= 29 · 3831417624521072796934868314176245210727969348659_<49>

(10⁵³+63·10²⁶-1)/9 =

11111111111111111111111111811111111111111111111111111_<53>

= 3 · 6037 · 31969254957347477437607_<23> · 19190334499249560308603743_<26>

(10⁵⁵+63·10²⁷-1)/9 =

1111111111111111111111111118111111111111111111111111111_<55>

= 263 · 1129 · 1182966540043_<13> · 3163263274918085155979430176879318251_<37>

(10⁵⁷+63·10²⁸-1)/9 =

111111111111111111111111111181111111111111111111111111111_<57>

= 41 · 238120730057053_<15> · 11380895311473673416932632380447387445307_<41>

(10⁵⁹+63·10²⁹-1)/9 =

11111111111111111111111111111811111111111111111111111111111_<59>

= 3 · 3703703703703703703703703703937037037037037037037037037037_<58>

(10⁶¹+63·10³⁰-1)/9 =

1111111111111111111111111111118111111111111111111111111111111_<61>

= 389 · 1151 · 20278919 · 5920334809111_<13> · 56915285471411_<14> · 363172184870055336551_<21>

(10⁶³+63·10³¹-1)/9 =

111111111111111111111111111111181111111111111111111111111111111_<63>

= 19 · 3951702044246596508314908167_<28> · 1479856818883519417868658994201307_<34>

(10⁶⁵+63·10³²-1)/9 =

11111111111111111111111111111111811111111111111111111111111111111_<65>

= 3² · 31 · 503 · 5303 · 14930132952076980504841092698335975872059506713193864001_<56>

(10⁶⁷+63·10³³-1)/9 =

1111111111111111111111111111111118111111111111111111111111111111111_<67>

= 41 · 97 · 2047181 · 313856205757_<12> · 434825432077120877341100756565417615766303079_<45>

(10⁶⁹+63·10³⁴-1)/9 =

111111111111111111111111111111111181111111111111111111111111111111111_<69>

= 285629 · 4378453 · 26787671 · 3316649228317089655039842539500187738478451328593_<49>

(10⁷¹+63·10³⁵-1)/9 =

11111111111111111111111111111111111811111111111111111111111111111111111_<71>

= 3 · 4297 · 6563 · 56531 · 142939 · 54370957 · 14765884051_<11> · 136359759477967_<15> · 148463061821804604527_<21>

(10⁷³+63·10³⁶-1)/9 =

1111111111111111111111111111111111118111111111111111111111111111111111111_<73>

= 136849 · 1209850524260198383_<19> · 6710952197489918739437169012059436899549323431833_<49>

(10⁷⁵+63·10³⁷-1)/9 =

111111111111111111111111111111111111181111111111111111111111111111111111111_<75>

= 443 · 12967 · 19342573396700377483859637985556861771722855971968278411740292141331_<68>

(10⁷⁷+63·10³⁸-1)/9 =

11111111111111111111111111111111111111811111111111111111111111111111111111111_<77>

= 3 · 41 · 43 · 244354546061_<12> · 8597328085870889440449154860583928297468783385803249579870059_<61>

(10⁷⁹+63·10³⁹-1)/9 =

1111111111111111111111111111111111111118111111111111111111111111111111111111111_<79>

= 78599281 · 127356877627898641_<18> · 100610698763715126017_<21> · 1103245968081142183916944169668423_<34>

(10⁸¹+63·10⁴⁰-1)/9 =

111111111111111111111111111111111111111181111111111111111111111111111111111111111_<81>

= 325459 · 333572171 · 332955172872690457007640522124253_<33> · 3073870922923625513519820548346883_<34>

(10⁸³+63·10⁴¹-1)/9 =

11111111111111111111111111111111111111111811111111111111111111111111111111111111111_<83>

= 3² · 3727 · 68171 · 130099 · 37349256878111765246158304219250829810059120821951421198407861464913_<68>

(10⁸⁵+63·10⁴²-1)/9 =

1111111111111111111111111111111111111111118111111111111111111111111111111111111111111_<85>

= 4721 · 67211383005910114857741469_<26> · 3501713884487194895408180244120012316963690611516624739_<55>

(10⁸⁷+63·10⁴³-1)/9 =

111111111111111111111111111111111111111111181111111111111111111111111111111111111111111_<87>

= 41 · 56999 · 464741 · 154832567 · 19851578183897_<14> · 33284194919681262420374687108815123999512695451619931_<53>

(10⁸⁹+63·10⁴⁴-1)/9 =

11111111111111111111111111111111111111111111811111111111111111111111111111111111111111111_<89>

= 3 · 29 · 127² · 28031 · 187387 · 1507484121191740658922081691795852792517448355690845313789965961793060381_<73>

(10⁹¹+63·10⁴⁵-1)/9 =

1111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111_<91>

= 1581295200163327840581941_<25> · 702658877985810210455302190681133293819727319941450722431421471371_<66>

(10⁹³+63·10⁴⁶-1)/9 =

111111111111111111111111111111111111111111111181111111111111111111111111111111111111111111111_<93>

= 10247 · 10843282044609262331522505231883586523969074966440042071934333083937846307320299708315713_<89>

(10⁹⁵+63·10⁴⁷-1)/9 =

11111111111111111111111111111111111111111111111811111111111111111111111111111111111111111111111_<95>

= 3 · 31 · 686909027153_<12> · 13857001130765899115917_<23> · 94919886199561849884244181_<26> · 132235742145279144382418163474067_<33>

(10⁹⁷+63·10⁴⁸-1)/9 =

1111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111_<97>

= 41 · 15287 · 1976837 · 64889207 · 13819999917721867191263494537063143726083601039903530899719842642391260971187_<77>

(10⁹⁹+63·10⁴⁹-1)/9 =

111111111111111111111111111111111111111111111111181111111111111111111111111111111111111111111111111_<99>

= 19 · 1061 · 3054703 · 11923087877823684192027862343_<29> · 29540519214545713468018783841_<29> · 5122861859140081386695123137361_<31>

(10¹⁰¹+63·10⁵⁰-1)/9 =

(1)₅₀8(1)_50<101>

= 3³ · 409 · 774461658101349540261355258669_<30> · 1299183501393503270470859373031128543262930836297960671457083118433_<67> (Makoto Kamada / GGNFS-0.50.2 / Total time: 0.8 hours (actual time: 1.7 hours))

(10¹⁰³+63·10⁵¹-1)/9 =

(1)₅₁8(1)_51<103>

= 47 · 409 · 31469 · 34648782319_<11> · 519660114134378661428477555108503929323_<39> · 102010768949090702307043109938417730244671569_<45> (Makoto Kamada / msieve 0.88 / 39 minutes)

(10¹⁰⁵+63·10⁵²-1)/9 =

(1)₅₂8(1)_52<105>

= 67 · 211 · 2325053947_<10> · 113677897175742099737844323_<27> · 232841660896083505396852873_<27> · 127711639038487595855790467361253814231_<39>

(10¹⁰⁷+63·10⁵³-1)/9 =

(1)₅₃8(1)_53<107>

= 3 · 29 · 41² · 6121 · 1059061 · 11719988069795238326633439539043258280609814404081495409089860581856753172042183433087925973_<92>

(10¹⁰⁹+63·10⁵⁴-1)/9 =

(1)₅₄8(1)_54<109>

= 1753 · 71453 · 72937 · 91893817 · 102004190671_<12> · 12974866708241802712907746691284641636672073325248419539434054076701129002181_<77>

(10¹¹¹+63·10⁵⁵-1)/9 =

(1)₅₅8(1)_55<111>

= 201781 · 1564964579_<10> · 3193549642162468878804090924279436823327_<40> · 110179053399658378748454506743056428416316517795865879207_<57> (Kenichiro Yamaguchi / msieve.exe 0.88 for P40 x P57 / 12:16:00 on Pentium4 2.4BGHz / May 28, 2005)

(10¹¹³+63·10⁵⁶-1)/9 =

(1)₅₆8(1)_56<113>

= 3 · 569 · 1061 · 10949 · 198251 · 2959031 · 50903397240043_<14> · 1352975198711142529_<19> · 13868600078086576939286591386990324526950053381087656373251_<59>

(10¹¹⁵+63·10⁵⁷-1)/9 =

(1)₅₇8(1)_57<115>

= 106633193 · 273798101 · 1281789999038424466872827278709808221353_<40> · 29690517433133448228875820017684038502497597814228332473659_<59> (Kenichiro Yamaguchi / GGNFS-0.77.0 / 2.30 hours on Pentium M 1.3GHz / May 31, 2005)

(10¹¹⁷+63·10⁵⁸-1)/9 =

(1)₅₈8(1)_58<117>

= 41 · 2710027100271002710027100271002710027100271002710027100272710027100271002710027100271002710027100271002710027100271_<115>

(10¹¹⁹+63·10⁵⁹-1)/9 =

(1)₅₉8(1)_59<119>

= 3² · 43 · 199 · 2663 · 72997 · 742193712087599307338301676838881674026844433359331965029851051221368766006403135072120515786019362730777_<105>

(10¹²¹+63·10⁶⁰-1)/9 =

(1)₆₀8(1)_60<121>

= 127 · 967 · 4229 · 5118535476780767200241056193_<28> · 417968827238339520766836200876657574879729466541461341957072903253136270943094187507_<84>

(10¹²³+63·10⁶¹-1)/9 =

(1)₆₁8(1)_61<123>

= 1283 · 22251536947947596565110423945527_<32> · 543570858610855374065270283742491984643_<39> · 7160026912993706324620835310861726463487851990697_<49> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=2824232005 for P32, msieve 0.88 for P39 x P49 / May 21, 2005)

(10¹²⁵+63·10⁶²-1)/9 =

(1)₆₂8(1)_62<125>

= 3 · 31 · 18587 · 1097651 · 6170119 · 469941988683032070943_<21> · 898719116596357238057294766426738294102043_<42> · 2247186905389755480967416678206118013497041_<43> (Makoto Kamada / msieve 0.88 / 53 minutes)

(10¹²⁷+63·10⁶³-1)/9 =

(1)₆₃8(1)_63<127>

= 41 · 47 · 653 · 311677 · 988367 · 5596627664897039633_<19> · 688361728084681336327_<21> · 744040321899461321712882619748841543315914941550721503612236578331249_<69>

(10¹²⁹+63·10⁶⁴-1)/9 =

(1)₆₄8(1)_64<129>

= 83 · 1763721007403497_<16> · 759013517476223951334551969396537183261217925180898585973532960300053488226272871201824784500900301706271255861_<111>

(10¹³¹+63·10⁶⁵-1)/9 =

(1)₆₅8(1)_65<131>

= 3 · 19853 · 1908201895425037_<16> · 36579430582020612359_<20> · 1172738361630356443654057104426680574433499227_<46> · 2279017699242323185600245820373498110108250569_<46> (Kenichiro Yamaguchi / msieve.exe 0.88 for P46(1172...) x P46(2279...) / 04:57:46 on Pentium 4 2.4BGHz / May 22, 2005)

(10¹³³+63·10⁶⁶-1)/9 =

(1)₆₆8(1)_66<133>

= 197759 · 396019314659061651581554906203926729_<36> · 14187467032567588459817376264714088126285697525200698406889689033176784521761952527073842801_<92> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 22.79 hours on Pentium 4 2.4BGHz / Jun 18, 2005)

(10¹³⁵+63·10⁶⁷-1)/9 =

(1)₆₇8(1)_67<135>

= 19 · 1657 · 773341 · 29598199 · 107136571621_<12> · 3912727852822340451436281167_<28> · 511045478123870149675790965601129245891_<39> · 719727543520242603176408824608075026399_<39> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=3427768606 for P28, msieve 0.88 for P39(5110...) x P39(7197...) / May 20, 2005)

(10¹³⁷+63·10⁶⁸-1)/9 =

(1)₆₈8(1)_68<137>

= 3² · 41 · 167 · 11027 · 314891114537_<12> · 122039160323537948199667297_<27> · 425498135852138298868124707558062625445932080853202358358836708991845031480770584407492819_<90>

(10¹³⁹+63·10⁶⁹-1)/9 =

(1)₆₉8(1)_69<139>

= 467652694300191693736261084612152646516775813624373744143_<57> · 2375932234868887528151906009973851128781214167960123415164812510915805241727384777_<82> (Kenichiro Yamaguchi / GGNFS-0.77.0 / 104.76 hours on Pentium M 1.3GHz / Jun 6, 2005)

(10¹⁴¹+63·10⁷⁰-1)/9 =

(1)₇₀8(1)_70<141>

= 14347 · 1814609287_<10> · 4267890447896074181618865381870855000302216994767445220938704073935537324575519178205086774703924408470710387802186349567875299_<127>

(10¹⁴³+63·10⁷¹-1)/9 =

(1)₇₁8(1)_71<143>

= 3 · 80023859467337336107_<20> · 46282492850965445022368152276215627020703464409576370334079979964483648104939758777607705499414634661195577016890270065991_<122>

(10¹⁴⁵+63·10⁷²-1)/9 =

(1)₇₂8(1)_72<145>

= 29² · 27594667 · 31879662713_<11> · 2049991686221_<13> · 172611700167822112088799043051_<30> · 11930586995803733710783320728974898140249_<41> · 355744731831617320345646967221453595047219_<42> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=100000, sigma=4262601148 for P30, msieve.exe 0.88 for P41 x P42 / Jun 22, 2005)

(10¹⁴⁷+63·10⁷³-1)/9 =

(1)₇₃8(1)_73<147>

= 41 · 733 · 5669 · 18043670197968668793984586707577096674672799298135615597639_<59> · 36144175451666733695082301849669634364211513159356501466289901979180714137743657_<80> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 43.92 hours / Sep 29, 2005)

(10¹⁴⁹+63·10⁷⁴-1)/9 =

(1)₇₄8(1)_74<149>

= 3 · 1123 · 41264888808076764227428851569963_<32> · 79923740376308506883185267562020504667215146030180684375172225112817305677000236160384114945090340989972859012813_<113> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=4168266300 for P32 / May 22, 2005)

(10¹⁵¹+63·10⁷⁵-1)/9 =

(1)₇₅8(1)_75<151>

= 317 · 226621 · 544031 · 66083711 · 21179257669_<11> · 3209121692237716133_<19> · 4275012957575822946139264624771833515353_<40> · 1480626951383711539346468832225704939396997616241389872569663_<61> (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 10.51 hours for P40 x P61 / Jun 22, 2005)

(10¹⁵³+63·10⁷⁶-1)/9 =

(1)₇₆8(1)_76<153>

= 347 · 2539 · 738157595933_<12> · 33669789810421_<14> · 78204570485896361049532905437409504671479_<41> · 64884906230516297577478933140217084233436114715302112816085890601268606643909161_<80> (Andreas Tete / factmsieve76.py via GGNFS, Msieve 1.48 snfs / Jan 31, 2011)

(10¹⁵⁵+63·10⁷⁷-1)/9 =

(1)₇₇8(1)_77<155>

= 3⁵ · 31 · 19175609907974298011155604832884780180227628146980089_<53> · 76920187982411052544640497644774279890406506872076991705059811728173320841136245648203772211565403_<98> (Serge Batalov / Msieve 1.48 snfs / Jan 31, 2011)

(10¹⁵⁷+63·10⁷⁸-1)/9 =

(1)₇₈8(1)_78<157>

= 41 · 5788017781951_<13> · 1834305894640831_<16> · 2162422204555349226990662584662619_<34> · 185752896836275263071644876522353051435593_<42> · 6354712806078447142393187191182339957379899969546773_<52> (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=14148034 for P34 / Jan 30, 2011) (Andreas Tete / factmsieve76.py via GGNFS, Msieve 1.48 gnfs for P42 x P52 / Jan 31, 2011)

(10¹⁵⁹+63·10⁷⁹-1)/9 =

(1)₇₉8(1)_79<159>

= 4962465444058938655391243644518305506591809851513115319410780313547_<67> · 22390304247686657883143862633271938626677676998370398726721461608016405878157493281781905013_<92> (Serge Batalov / Msieve 1.48 snfs / Jan 31, 2011)

(10¹⁶¹+63·10⁸⁰-1)/9 =

(1)₈₀8(1)_80<161>

= 3 · 43 · 86132644272179155900086132644272179155900086132644272179155900086132644272179161326442721791559000861326442721791559000861326442721791559000861326442721791559_<158>

(10¹⁶³+63·10⁸¹-1)/9 =

(1)₈₁8(1)_81<163>

= 29 · 38314176245210727969348659003831417624521072796934865900383141762452107279693486831417624521072796934865900383141762452107279693486590038314176245210727969348659_<161>

(10¹⁶⁵+63·10⁸²-1)/9 =

(1)₈₂8(1)_82<165>

= 211 · 4025504258421901_<16> · 7624032325474731400925974456135111776347387_<43> · 704022612153761046339780392052800141963475271_<45> · 24371564418847176087204553168528584527453519108759849747813_<59> (Sinkiti Sibata / Msieve 1.40 snfs / Feb 10, 2011)

(10¹⁶⁷+63·10⁸³-1)/9 =

(1)₈₃8(1)_83<167>

= 3 · 41 · 21683183 · 36685159817264293_<17> · 13092482982718489530487_<23> · 8673949922230349281018446380041052670880470621129673334763995813314329491498695418703170793671996844067576531412486569_<118>

(10¹⁶⁹+63·10⁸⁴-1)/9 =

(1)₈₄8(1)_84<169>

= 4366643 · 278048333 · 69959177469798803_<17> · 973810420558137953933642111357701224363980177868203_<51> · 13432918985958917478678417085779553581930203565054345730388396984709605899769526070241_<86> (Sinkiti Sibata / Msieve 1.40 snfs / Mar 21, 2011)

(10¹⁷¹+63·10⁸⁵-1)/9 =

(1)₈₅8(1)_85<171>

= 19 · 67 · 569 · 58757 · 48481080212866815907_<20> · 2150102410193496309647580041042101_<34> · 25045273178614293111813240286655346252108880073103756761243411497404998448004225329223856870366207585702197_<107> (Serge Batalov / GMP-ECM B1=2000000, sigma=4273642466 for P34 / Jan 30, 2011)

(10¹⁷³+63·10⁸⁶-1)/9 =

(1)₈₆8(1)_86<173>

= 3² · 127 · 821 · 44687168569_<11> · 1516620107521_<13> · 174706255409066406888152874187671440301272796489992813569527389769548422524553590957616292570480746047273832647091683074444141810590062808583413_<144>

(10¹⁷⁵+63·10⁸⁷-1)/9 =

(1)₈₇8(1)_87<175>

= 2719 · 11538692471892959_<17> · 436768380164965936498936398343_<30> · 142002507165558083504691270739227204713714146856738412443957929_<63> · 571011009564931022341992927144056180006192692261787106148542553_<63> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3755890765 for P30 / Jan 30, 2011) (Warut Roonguthai / Msieve 1.48 gnfs for P63 x P63 / May 2, 2011)

(10¹⁷⁷+63·10⁸⁸-1)/9 =

(1)₈₈8(1)_88<177>

= 41 · 181 · 197641 · 5194991 · 78213639088545427_<17> · 612870744131570867_<18> · 106000913187866841553495973_<27> · 2869936097038257495376441593360780070070974863402056838289715949413111264824609638722592329648174473_<100>

(10¹⁷⁹+63·10⁸⁹-1)/9 =

(1)₈₉8(1)_89<179>

= 3 · 2045761 · 454322450069443_<15> · 210160972436933560366024979_<27> · 4795937166790566014124937361_<28> · 3953589631691755784258444808675489250552697513420585187514929577123649057991304237935983576149436234501_<103>

(10¹⁸¹+63·10⁹⁰-1)/9 =

(1)₉₀8(1)_90<181>

= 11042807 · 19385269 · 649413249071457653645623_<24> · 88566297780816741852447947089289106618240504540062484508223_<59> · 90243626893988862010453884169722013612668008417257498327037018547631349695395679973_<83> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / Sep 24, 2011)

(10¹⁸³+63·10⁹¹-1)/9 =

(1)₉₁8(1)_91<183>

= 3943637 · 11152119907_<11> · 129408810730753_<15> · 19522673072167930938686779937249473554594051158596429862169581652975606122826556410755907858909894553835111396956241189576897501225805006815022478346393_<152>

(10¹⁸⁵+63·10⁹²-1)/9 =

(1)₉₂8(1)_92<185>

= 3 · 31 · 173539 · 2830523 · 23781776653411516355005670749183359860630899937685601277095946430643_<68> · 10227428856330730615592892720114554289629167936603930845724577535853963896713959673643902912640267450737_<104> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / Oct 10, 2011)

(10¹⁸⁷+63·10⁹³-1)/9 =

(1)₉₃8(1)_93<187>

= 41 · 163 · 4263617086279_<13> · 111930519925863352506582442719708503655003610480206513341848990980979_<69> · 348384892945493595625091689937636829913650942466343415436163922914182063627335425135136005053294026337_<102> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / Oct 15, 2011)

(10¹⁸⁹+63·10⁹⁴-1)/9 =

(1)₉₄8(1)_94<189>

= 5077 · 30089 · 1284171809_<10> · 1026184521077_<13> · 225264029306694637170401435706927289049027_<42> · 2450203373625629589731544853295528213373580966689021389639504570950646791911420579734304137500040354367681154039943917_<118> (Serge Batalov / GMP-ECM B1=3000000, sigma=3187468299 for P42 / Jan 31, 2011)

(10¹⁹¹+63·10⁹⁵-1)/9 =

(1)₉₅8(1)_95<191>

= 3² · 1787 · 292567374427_<12> · 31724456892204182380537875989746009901303676104567378909993338926639648290466863_<80> · 74433825237963632796074164405756015958878812174597750198344689388102375195369962302060350749417_<95> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / Nov 16, 2011)

(10¹⁹³+63·10⁹⁶-1)/9 =

(1)₉₆8(1)_96<193>

= 563 · 591299166811_<12> · 452645074503152988737205797231579_<33> · 8262961599431664458534790614852229553_<37> · 892376849955879777949240023142093415638096297350345886990999547908132039266214656624187546059602661402946421_<108> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2382572199 for P33 / Jan 30, 2011) (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=1723123695 for P37 / Feb 17, 2011)

(10¹⁹⁵+63·10⁹⁷-1)/9 =

(1)₉₇8(1)_97<195>

= 47 · 278488138642404406924200481_<27> · 2651467667908814305502765108017802424840758515036039539113_<58> · 3201596485059683030758992247142460146195606504850757310683769132575986202254612253159329832325690284656498721_<109> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / Dec 22, 2011)

(10¹⁹⁷+63·10⁹⁸-1)/9 =

(1)₉₈8(1)_98<197>

= 3 · 41 · 3180387922697535943873_<22> · 882841186910115094508815000457607876038361554054860976342978410352711_<69> · 32172862106173489952380516193237333087901506764099541148186860783904582181931171870293942829446897400819_<104> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / Dec 30, 2011)

(10¹⁹⁹+63·10⁹⁹-1)/9 =

(1)₉₉8(1)_99<199>

= 653 · 4799567483355795931515949_<25> · 210093247037860537118157033047821132451088945863_<48> · 1687446892989994798277673166647333128804761538752020751227794024639220113550433589845962763311320034799057930946167534996601_<124> (Jo Yeong Uk / GMP-ECM 6.3 B1=11000000, sigma=8496655275 for P48 / Nov 30, 2011)

(10²⁰¹+63·10¹⁰⁰-1)/9 =

(1)₁₀₀8(1)_100<201>

= 29 · 967 · 6791 · 1560371 · 40089717470236423872341_<23> · 2062494156602518785454967117639_<31> · 1489807492372152922620897696245293316213589359326793_<52> · 3035397285846690281499342982644894201989653429482529982945838106980231779761201651_<82> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=468675417 for P31 / Jan 30, 2011) (Markus Tervooren / Msieve 1.49 for P52 x P82 / Feb 11, 2011)

(10²⁰³+63·10¹⁰¹-1)/9 =

(1)₁₀₁8(1)_101<203>

= 3 · 43 · 721663 · 209438084201_<12> · 3133271283735366533069_<22> · 24717730703937131894282460096799_<32> · 224895596314747131686883539238182110482671_<42> · 32718255377734501319946916575871599508416280775415755235437681552167458765901442352917093_<89> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=140706913 for P32 / Nov 21, 2011) (Warut Roonguthai / Msieve 1.48 gnfs for P42 x P89 / Nov 29, 2011)

(10²⁰⁵+63·10¹⁰²-1)/9 =

(1)₁₀₂8(1)_102<205>

= 127 · 19141444306027237291_<20> · [457066156912036993301450431461825548609999829500204564699175671346285088436209083275330307493918126788243011216927431929683518315868023334463851301735097492026572324400176364624321323_<183>] SUBMIT/RESERVE

(10²⁰⁷+63·10¹⁰³-1)/9 =

(1)₁₀₃8(1)_103<207>

= 19 · 41 · 263 · 154308227 · [3514594322604249342121008361611085287634226878171941502709761919822226877062729672152530723560933980298538182508149624004972686510511590037341443977256349224971909538542220157158560863711464609_<193>] SUBMIT/RESERVE

(10²⁰⁹+63·10¹⁰⁴-1)/9 =

(1)₁₀₄8(1)_104<209>

= 3³ · 373 · 439 · 2303656852291876669914109325833_<31> · [1090944322167554012887088997267440879763267504818902329353172582015082614560096674337124301383922840929328842218682111449124610973533287319617504940810397296404195537078143_<172>] (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2109706403 for P31 / Nov 24, 2011) SUBMIT/RESERVE

(10²¹¹+63·10¹⁰⁵-1)/9 =

(1)₁₀₅8(1)_105<211>

= 83 · 1571 · 123189019 · 1995533662929344066306511205831_<31> · [34663479756044138263036647633305453988068808749952181906822292876253931915767381504603117581601501704357344321172684878105895945203892796471460165148095613410617978443_<167>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2864262026 for P31 / Nov 21, 2011) SUBMIT/RESERVE

(10²¹³+63·10¹⁰⁶-1)/9 =

(1)₁₀₆8(1)_106<213>

= 3553007346333885414304760700998771_<34> · 31272412432740776193626284599890071380398764438983257364831693279182382247738891859116163862048523855141589283591186778204761060017104569504073401148281661794437900523491687656541_<179> (Serge Batalov / GMP-ECM B1=3000000, sigma=4285316635 for P34 / Nov 24, 2011)

(10²¹⁵+63·10¹⁰⁷-1)/9 =

(1)₁₀₇8(1)_107<215>

= 3 · 31 · 8523264161_<10> · 27297724221665647727_<20> · 111265600729669131600768307_<27> · 3429848061240670781649072076771084561_<37> · 1345570176075528912379939525530752294593430817598778538656118294779348240168231588880831756987214206232301462726998176383_<121> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1238845946 for P37 / Dec 2, 2011)

(10²¹⁷+63·10¹⁰⁸-1)/9 =

(1)₁₀₈8(1)_108<217>

= 41 · 1381 · 325849376891_<12> · 1419474403134287_<16> · 71068451478791262828708734860620516922921_<41> · 596978433870986374318875618941241694045742162411841646987887682954790429289453523248000405743680585688396950968001583984549316998206617808705663_<144> (Serge Batalov / GMP-ECM B1=3000000, sigma=1981168870 for P41 / Nov 25, 2011)

(10²¹⁹+63·10¹⁰⁹-1)/9 =

(1)₁₀₉8(1)_109<219>

= 29 · 47 · 81519523925980272275209912774109399201108665525393331702942854813727887829135077851145349311160022825466699325833537132143148284014021358115268606831336104997146816662590690470367653052906171027961196706611233390397_<215>

(10²²¹+63·10¹¹⁰-1)/9 =

(1)₁₁₀8(1)_110<221>

= 3 · 97 · 401 · 631 · 3307524697783_<13> · 10240680488019013_<17> · 592122741837946369_<18> · 2383513774450418243_<19> · 3156671942169309059283551005268914097240463054229709603159144531495753466162107796889131356228666588688567791716103250022160996647194374954855454787_<148>

(10²²³+63·10¹¹¹-1)/9 =

(1)₁₁₁8(1)_111<223>

= 499787 · 2205680887703_<13> · 8634640265509_<13> · 11797740038433509_<17> · 1124185802235953813_<19> · 96829959835900196876714803560616714279_<38> · 90894778594829967721883081739509073899454496703197732897495914692098385962488611775565162575279733975317086052783870473_<119> (Serge Batalov / GMP-ECM B1=3000000, sigma=1068271693 for P38 / Nov 25, 2011)

(10²²⁵+63·10¹¹²-1)/9 =

(1)₁₁₂8(1)_112<225>

= 211 · [526592943654555028962611901000526592943654555028962611901000526592943654555028962611901000526592943654555028962943654555028962611901000526592943654555028962611901000526592943654555028962611901000526592943654555028962611901_<222>] SUBMIT/RESERVE

(10²²⁷+63·10¹¹³-1)/9 =

(1)₁₁₃8(1)_113<227>

= 3² · 41 · 7883 · 3575249611311709_<16> · [1068398401896525686879274906594746831083605496500514192446322909466594765430018105498378614218480410546584500738773894780414801979054361943059056924672780506414627378146300301808702349708529736980159987977_<205>] SUBMIT/RESERVE

(10²²⁹+63·10¹¹⁴-1)/9 =

(1)₁₁₄8(1)_114<229>

= 95973552844067_<14> · 7426029621474692707_<19> · 11647341786298805731300101033336757_<35> · [133851246897511256932663871932278571663152750247902151189389656032068390042734768698924214126142929297070723202908882431985712742189968326285359779733484956679667_<162>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3048335000 for P35 / Nov 24, 2011) SUBMIT/RESERVE

(10²³¹+63·10¹¹⁵-1)/9 =

(1)₁₁₅8(1)_115<231>

= 8423 · 872477 · 1310359 · 24646822303_<11> · 1787590882007623627861_<22> · [261889051158504713018837688198654686724827613658187728841122086535603464200764377101724861321795137934884396693879770987965817311120117632496597370727514684648133289680706988118300153_<183>] SUBMIT/RESERVE

(10²³³+63·10¹¹⁶-1)/9 =

(1)₁₁₆8(1)_116<233>

= 3 · 35137655899_<11> · 51633938479_<11> · 2041400408657583210204338336628412025573917879208831207217667357304746047651987284579452985453629036507300702673365151116319586205280526507737459923888638378000848174560435685488634880021189047326631764016471897_<211>

(10²³⁵+63·10¹¹⁷-1)/9 =

(1)₁₁₇8(1)_117<235>

= 40672551865836361_<17> · 216370121386779727_<18> · 226115963456329203041_<21> · [558377045218260265047185183888716990692352278160112310730960678744714124172476705264503572604880277852921665160998275127145444605099775130668938845447512511291236962457943130436193_<180>] SUBMIT/RESERVE

(10²³⁷+63·10¹¹⁸-1)/9 =

(1)₁₁₈8(1)_118<237>

= 41 · 67 · 9127 · [4431704358024170878968421185955905844558740758860502625915567407882958829719121103859912123468382477234190682438198411977627639611195763311905909811155726408394647846600949897716485002020037321952787449196990902876491222537542419_<229>] SUBMIT/RESERVE

(10²³⁹+63·10¹¹⁹-1)/9 =

(1)₁₁₉8(1)_119<239>

= 3 · 2150501250431_<13> · [1722251360217257891596233925660692771856768332049765863930678773774059025637434185938729200721976524399849487038135213836123443254761108831829323108051482777546326913278739148565433507190630647360877017869438133242335572513427_<226>] SUBMIT/RESERVE

(10²⁴¹+63·10¹²⁰-1)/9 =

(1)₁₂₀8(1)_120<241>

= [1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111118111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111_<241>] SUBMIT/RESERVE

(10²⁴³+63·10¹²¹-1)/9 =

(1)₁₂₁8(1)_121<243>

= 19 · [5847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216377953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269005847953216374269_<241>] SUBMIT/RESERVE

(10²⁴⁵+63·10¹²²-1)/9 =

(1)₁₂₂8(1)_122<245>

= 3² · 31 · 43 · 1039 · 31321 · 13281892558994153_<17> · 2142760844972233708238518861075158744506205348770436647537639976934881046116704647075270016108375106835788339659579957219800976963955686533416427823158349008608833287971981477917653249289417682926798437298477561618909_<217>

(10²⁴⁷+63·10¹²³-1)/9 =

(1)₁₂₃8(1)_123<247>

= 41 · 3301075697318915809819_<22> · [8209527283703448821082136477832022849326447941389456431718737152691595358148025492492628271009965922866612172983564090309684997045381555495872116913254874908025322417751441180905257013177775761628755976714884427419853570109_<223>] SUBMIT/RESERVE

(10²⁴⁹+63·10¹²⁴-1)/9 =

(1)₁₂₄8(1)_124<249>

= 54566535175139071838310627971256559446017_<41> · 2036250070752782152811691244148287265502772205602305705595038929657639126015559544111818493837731549433877188185607721602219937100429961471193343057905559531055561201964600243083812795418993439893555888970183_<208> (Wataru Sakai / GMP-ECM 6.3 B1=11000000, sigma=3715762456 for P41 / Dec 29, 2011)

(10²⁵¹+63·10¹²⁵-1)/9 =

(1)₁₂₅8(1)_125<251>

= 3 · 1259 · 757166083 · 4427907257_<10> · 4691756497451_<13> · 1728056828176517_<16> · 70265976351672661038984693628197239773_<38> · [1540218261989686657730596955726371793526269924696186185054049363806743129260532143968919327224621191457933384262102612713997701195600367709653626156734584430551183_<163>] (Serge Batalov / GMP-ECM B1=3000000, sigma=836782327 for P38 / Nov 25, 2011) SUBMIT/RESERVE

(10²⁵³+63·10¹²⁶-1)/9 =

(1)₁₂₆8(1)_126<253>

= 5686607 · 195390873874546124096690893376509245515139539467227313424527334333304747648485487235377987455632350030714468418709277977379326215282876258392941715703425805776821065902938450135750740487449037908037448536730445960325922137948184411391733438078473_<246>

(10²⁵⁵+63·10¹²⁷-1)/9 =

(1)₁₂₇8(1)_127<255>

= 69712939 · 1831707141633955529239658962609164078246107_<43> · 870137848242459889692880371776742383355779168017404600144549284739343197338095286074775233855554925223641922504715460334413048503679739914309797411574352868981840047194371040892947902303047214796899886607_<204> (Wataru Sakai / GMP-ECM 6.3 B1=3000000, sigma=201843071 for P43 / Nov 26, 2011)

(10²⁵⁷+63·10¹²⁸-1)/9 =

(1)₁₂₈8(1)_128<257>

= 3 · 29 · 41 · 127 · 2371 · 521527 · 13700741 · 9322430147_<10> · 8388784071439664116791005398443571068017_<40> · [18512714304751530130285272257439641581458634810124888861152311328649775710676655025850067657788402614636349169708503867047195145498473606389766089504509531351364248384880320963246337493_<185>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1680267453 for P40 / Nov 30, 2011) SUBMIT/RESERVE

(10²⁵⁹+63·10¹²⁹-1)/9 =

(1)₁₂₉8(1)_129<259>

= 97 · 7057 · 2844380298195885170134654305099845609_<37> · [570660716120641283601248251017940784704375396422004828747003355405385030533965878880885374583915059485459586919485007010692124483586865171225949563360938875413870390938154500170646129195096669972476885662962286225951_<216>] (Serge Batalov / GMP-ECM B1=3000000, sigma=120156927 for P37 / Nov 24, 2011) SUBMIT/RESERVE

(10²⁶¹+63·10¹³⁰-1)/9 =

(1)₁₃₀8(1)_130<261>

= 1759 · 2716849 · 17928671 · 57082715009_<11> · 196057338300119447_<18> · 127303734913312624441768853_<27> · [910225887571869424423805240385522336878884791536643897053718993654561140235785924807249957173210194175513265349146640826024179544749788777057853754024448721637521291206062371868893384435229_<189>] SUBMIT/RESERVE

(10²⁶³+63·10¹³¹-1)/9 =

(1)₁₃₁8(1)_131<263>

= 3³ · 1429 · 7517753 · 103412051134708045834605493565464027777669711_<45> · 370426708579982196354209232220636802794011295544094682048994138992733230358319794488450634437780225028649034944218168877105136936361026076863872323134421975620450799599250662531276932814385515066560719148599_<207> (Serge Batalov / GMP-ECM B1=11000000, sigma=3801697734 for P45 / Nov 26, 2011)

(10²⁶⁵+63·10¹³²-1)/9 =

(1)₁₃₂8(1)_132<265>

= 4091827459_<10> · 60721873939_<11> · 252124731840236963_<18> · 20301144683988481449811_<23> · [873693362922342692312017839089886844664657287738334707112237670643194476337821535363011421284045189920961833752743390136889471209050861283911667702546355707226293190255886941537990756282506038952752031127_<204>] SUBMIT/RESERVE

(10²⁶⁷+63·10¹³³-1)/9 =

(1)₁₃₃8(1)_133<267>

= 41 · 1097 · 689715893 · 28640267279542701715076646394624639_<35> · 5437605297835755669871539974894633824192043_<43> · [22999162731934371245350638119080646044844869899380907937808322226760660750859564959545518368556027110144079488330375475303857141914335945125987965098622672035436577997681950863_<176>] (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=2488502104 for P35 / Nov 23, 2011) (Serge Batalov / GMP-ECM B1=3000000, sigma=3597045318 for P43 / Nov 25, 2011) SUBMIT/RESERVE

(10²⁶⁹+63·10¹³⁴-1)/9 =

(1)₁₃₄8(1)_134<269>

= 3 · 733 · 2081412913_<10> · 27870451526200526322403_<23> · [87102377991825472340666161652066543924314507517681738066904185122535121096828452838432032611829919041847434287952259838711023212883509648644524422791598340556787571099312506285906156319790817567150212873122067002993733388292385470251_<233>] SUBMIT/RESERVE

(10²⁷¹+63·10¹³⁵-1)/9 =

(1)₁₃₅8(1)_135<271>

= 1378187 · 49343501033036348545543_<23> · 16338770821106276075522902010535254212292004865213352458026683789383087035312677796914405007916887918051093824667740983676767687997662205763364537567071026769722172840309514602328344270947664261021502223111561403532212260580051311504145964771_<242>

(10²⁷³+63·10¹³⁶-1)/9 =

(1)₁₃₆8(1)_136<273>

= 247391 · [449131581630338658686496724258809379124992870036141618373793351864502391401106390738188176251808316030539151024536507436047031262702002825935911618090840455437389036428613454455138267403062807907769931449046695761410524680004976377924464152338246383704787607920704921_<267>] SUBMIT/RESERVE

(10²⁷⁵+63·10¹³⁷-1)/9 =

(1)₁₃₇8(1)_137<275>

= 3 · 29 · 31 · 100702335080761161361_<21> · 1150501446189851367863671385162707_<34> · [35559024153982420653783087452745576136750807813233430425897042709293955874061290958187848058936898979925359829169379184190267415927804698336926300135279979780286561889469747654641353210948481363322419685362261471664069_<218>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2063557793 for P34 / Nov 24, 2011) SUBMIT/RESERVE

(10²⁷⁷+63·10¹³⁸-1)/9 =

(1)₁₃₈8(1)_138<277>

= 41 · 27100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271002710027100271_<275>

(10²⁷⁹+63·10¹³⁹-1)/9 =

(1)₁₃₉8(1)_139<279>

= 19 · 4801 · 51721 · 124982881 · 46614685954741027_<17> · [4042331969620645269572565533237247326073121775597193180021003273975254293514739270943904734916565259170264954796430476490671123324581343660522142857857580074970202763415759123213007095240920739049019243027677381737069948262540820988995823007047_<244>] SUBMIT/RESERVE

(10²⁸¹+63·10¹⁴⁰-1)/9 =

(1)₁₄₀8(1)_140<281>

= 3² · 1447 · 83987 · 433839247 · 88505422237_<11> · 15922051264493509_<17> · 16616388876589128587787186595584325507791830353061077971176588028483444543489899007621896464982856949639791914198867424321911699725753872675124543213364337543148800679639870902919750586260194129554382403586355479437803651205671512844061_<236>

(10²⁸³+63·10¹⁴¹-1)/9 =

(1)₁₄₁8(1)_141<283>

= 18973 · 186351170462851_<15> · 1217466063994036123_<19> · 10248409196521150561_<20> · 22885330915230773153579567_<26> · [1100572965204165838967297640527028561619548983627420337490821440169987623740147191698024639022541962366980512369783534818016798096562125969240655473378755589556851047465677708977275044087467009735623757_<202>] SUBMIT/RESERVE

(10²⁸⁵+63·10¹⁴²-1)/9 =

(1)₁₄₂8(1)_142<285>

= 211 · 57149 · 19784455350605713_<17> · 465738672314833612201023584363642917866614386949860058675854421033472989008585644213044951212282955016371890752460684311341763490356508539704982051235733513818072867502706318916448142823844506928259798505660023501354313117636298577174252810085102227618264197873_<261>

(10²⁸⁷+63·10¹⁴³-1)/9 =

(1)₁₄₃8(1)_143<287>

= 3 · 41 · 43 · 47 · 20867731 · [2141957433073027988866323644100210338691347694682570198091254034250517684870940533603267212690915145596217637282156451261251444004190936814133276689705855083838813383565918612543299937957615667008786906599920291154344500034241291117078450507344039811390416523851844834921307_<274>] SUBMIT/RESERVE

(10²⁸⁹+63·10¹⁴⁴-1)/9 =

(1)₁₄₄8(1)_144<289>

= 127 · 691 · 45314748278161664836511_<23> · [279406271761601195667787144080826570401239051552334891902972949914336593043633434947248206128800747531479341034790039146215264846785537790518812634239562610342572191032268608869576542182590626264100924853455046629693751241822123184018637370452974329716665989693_<261>] SUBMIT/RESERVE

(10²⁹¹+63·10¹⁴⁵-1)/9 =

(1)₁₄₅8(1)_145<291>

= 672949 · 1784401 · 1109974373_<10> · 417059358402832508553957729196271_<33> · 199881250480606358068668516110703749674863815433818466504738556791306331914878491393290694428339791139019657284917882825596608008469506215154844893913701193847485537482513742197736311986758485609217850944042804907697757497397336032213233_<237> (Serge Batalov / GMP-ECM B1=3000000, sigma=3326311872 for P33 / Nov 24, 2011)

(10²⁹³+63·10¹⁴⁶-1)/9 =

(1)₁₄₆8(1)_146<293>

= 3 · 83 · [44622936189201249442213297634984381972333779562695225345827755466309683177153056671128960285586791610887996430165104863900044622936189201249442216108879964301651048639000446229361892012494422132976349843819723337795626952253458277554663096831771530566711289602855867916108879964301651048639_<290>] SUBMIT/RESERVE

(10²⁹⁵+63·10¹⁴⁷-1)/9 =

(1)₁₄₇8(1)_147<295>

= 71947 · 2010727 · [7680538866286365125564812183263209263978753553181985819857943329012931288026116315533944079902045508946755149343947772503894620595538468250721841489616790512343616593641135428842230271701133966781564476397802947383660916261459501284851963144119888733315694712077202027548695330258819_<283>] SUBMIT/RESERVE

(10²⁹⁷+63·10¹⁴⁸-1)/9 =

(1)₁₄₈8(1)_148<297>

= 41 · 6684894476571541530794712761817029911_<37> · 162655969205549351443252254728262144047443_<42> · [2492350239655499343423708076704577671601487240969739612798176059356139581132292520883161073182270748975667234728662946985713853270226795601863160376941039282046318767204080602000660639937753808688802546820830712284627_<217>] (Serge Batalov / GMP-ECM B1=3000000, sigma=1506431010 for P37 / Nov 24, 2011) (Dmitry Domanov / Nov 25, 2011) SUBMIT/RESERVE

(10²⁹⁹+63·10¹⁴⁹-1)/9 =

(1)₁₄₉8(1)_149<299>

= 3² · 277499 · 645505970001583_<15> · 6892127380134305911900478216221326049657605888803788481973188915612373252513161642232434596581312051534690531222926758356952529250460295348277479611066315964453571420652800194690337171118973177778175526572704096230193703667068938667017597822327912096776804707912446327106792787_<277>

(10³⁰¹+63·10¹⁵⁰-1)/9 =

(1)₁₅₀8(1)_150<301>

= 1283801631572035493_<19> · 814545886945344494192582381648809453_<36> · 33145621151559701230206992133699403548073283_<44> · [32056628929961570361761996225679332662340884631104848784992451363902248914542464490138739410589447679189841894248485172933987916232729996221869460107369836558920471241057214052661740590411032204911556973_<203>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=676348201 for P36 / Nov 25, 2011) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1885455103 for P44 / Nov 25, 2011) SUBMIT/RESERVE

4. References

• Palindromic Wing Primes (Patrick De Geest)
• A077791 - OEIS (The OEIS Foundation Inc.)
• A107648 - OEIS (The OEIS Foundation Inc.)