Factorizations of 200...009

Table of contents

1. About 200...009
   • First ten terms
   • General term
2. Prime numbers of the form 200...009
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 200...009
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 200...009

First ten terms

29, 209, 2009, 20009, 200009, 2000009, 20000009, 200000009, 2000000009, 20000000009

General term

2·10ⁿ+9

2. Prime numbers of the form 200...009

Last update

Jan 18, 2009

Searched up to

n≤20000

Difficulty of search

8.76%

Results

1. 2·10¹+9 = 29 is prime. (Makoto Kamada / Sep 27, 2004)
2. 2·10⁵+9 = 200009 is prime. (Makoto Kamada / Sep 27, 2004)
3. 2·10²⁵+9 = 2(0)₂₄9_<26> is prime. (Makoto Kamada / PPSIQS / Sep 27, 2004)
4. 2·10⁴⁵⁵+9 = 2(0)₄₅₄9_<456> is prime. (searched by Makoto Kamada / Sep 27, 2004) (certified by Julien Peter Benney / http://www.alpertron.com.ar/ECM.HTM / Jan 15, 2005)
5. 2·10⁷⁶¹+9 = 2(0)₇₆₀9_<762> is prime. (searched by Makoto Kamada / Sep 27, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
6. 2·10⁹²⁰⁵+9 = 2(0)₉₂₀₄9_<9206> is PRP. (Makoto Kamada / PFGW / Jan 3, 2005)
7. 2·10¹³⁵⁶¹+9 = 2(0)₁₃₅₆₀9_<13562> is PRP. (Sinkiti Sibata / PFGW / Nov 14, 2007)
8. 2·10¹⁵⁹⁵⁵+9 = 2(0)₁₅₉₅₄9_<15956> is PRP. (Sinkiti Sibata / PFGW / Nov 14, 2007)

3. Factorizations of 200...009

Last update

Jun 13, 2009

Completed up to

• n≤100 / Sep 27, 2004
• n≤150 / Nov 18, 2007

Range

n≤200

Terms which have not been factored yet

n=178, 179, 180, 181, 183, 185, 186, 189, 191, 193, 194, 195, 196, 197, 200 (15/200)

Results

2·10¹+9 =

29

= definitely prime number

2·10²+9 =

209

= 11 · 19

2·10³+9 =

2009

= 7² · 41

2·10⁴+9 =

20009

= 11 · 17 · 107

2·10⁵+9 =

200009

= definitely prime number

2·10⁶+9 =

2000009

= 11² · 16529

2·10⁷+9 =

20000009

= 61 · 327869

2·10⁸+9 =

200000009

= 11 · 41 · 43 · 10313

2·10⁹+9 =

2000000009_<10>

= 7 · 285714287

2·10¹⁰+9 =

20000000009_<11>

= 11 · 59 · 30816641

2·10¹¹+9 =

200000000009_<12>

= 67 · 44027 · 67801

2·10¹²+9 =

2000000000009_<13>

= 11 · 293179 · 620161

2·10¹³+9 =

20000000000009_<14>

= 41 · 487 · 10243 · 97789

2·10¹⁴+9 =

200000000000009_<15>

= 11 · 449 · 40494027131_<11>

2·10¹⁵+9 =

2000000000000009_<16>

= 7 · 1049 · 7243 · 37604341

2·10¹⁶+9 =

20000000000000009_<17>

= 11 · 139 · 30011 · 435855011

2·10¹⁷+9 =

200000000000000009_<18>

= 109 · 227 · 259943 · 31095641

2·10¹⁸+9 =

2000000000000000009_<19>

= 11 · 41 · 9433 · 470114470523_<12>

2·10¹⁹+9 =

20000000000000000009_<20>

= 7541 · 52069 · 50935645921_<11>

2·10²⁰+9 =

200000000000000000009_<21>

= 11 · 17² · 19 · 9283 · 356695406323_<12>

2·10²¹+9 =

2000000000000000000009_<22>

= 7 · 23 · 10061 · 669763 · 1843494383_<10>

2·10²²+9 =

20000000000000000000009_<23>

= 11 · 40569840803_<11> · 44816094473_<11>

2·10²³+9 =

200000000000000000000009_<24>

= 41 · 38461 · 358541 · 353742093449_<12>

2·10²⁴+9 =

2000000000000000000000009_<25>

= 11 · 401 · 453411924733620494219_<21>

2·10²⁵+9 =

20000000000000000000000009_<26>

= definitely prime number

2·10²⁶+9 =

200000000000000000000000009_<27>

= 11 · 20352701491_<11> · 893336847192409_<15>

2·10²⁷+9 =

2000000000000000000000000009_<28>

= 7 · 41047 · 6960661819725819530921_<22>

2·10²⁸+9 =

20000000000000000000000000009_<29>

= 11² · 41 · 4031445273130417254585769_<25>

2·10²⁹+9 =

200000000000000000000000000009_<30>

= 29² · 43 · 47² · 89 · 2094523 · 13430577524641_<14>

2·10³⁰+9 =

2000000000000000000000000000009_<31>

= 11 · 83 · 454942123 · 4815075133927565291_<19>

2·10³¹+9 =

20000000000000000000000000000009_<32>

= 823 · 80256031021_<11> · 302797637315914523_<18>

2·10³²+9 =

200000000000000000000000000000009_<33>

= 11 · 28890990217_<11> · 629324853362750415907_<21>

2·10³³+9 =

2000000000000000000000000000000009_<34>

= 7 · 41 · 72269 · 96426422324683867179738803_<26>

2·10³⁴+9 =

20000000000000000000000000000000009_<35>

= 11 · 193 · 218233 · 337651 · 127847293448774220001_<21>

2·10³⁵+9 =

200000000000000000000000000000000009_<36>

= 5741 · 7129 · 954469 · 5119788334648167235249_<22>

2·10³⁶+9 =

2000000000000000000000000000000000009_<37>

= 11 · 17 · 10695187165775401069518716577540107_<35>

2·10³⁷+9 =

20000000000000000000000000000000000009_<38>

= 1484701 · 13470725755556169221951086447709_<32>

2·10³⁸+9 =

200000000000000000000000000000000000009_<39>

= 11 · 19 · 41 · 1483 · 10071097 · 1562722707810233592746411_<25>

2·10³⁹+9 =

2000000000000000000000000000000000000009_<40>

= 7 · 149 · 3821 · 3596472601_<10> · 93032788129_<11> · 1499877730007_<13>

2·10⁴⁰+9 =

20000000000000000000000000000000000000009_<41>

= 11 · 1818181818181818181818181818181818181819_<40>

2·10⁴¹+9 =

200000000000000000000000000000000000000009_<42>

= 883 · 930014956806907_<15> · 243545079134079430191689_<24>

2·10⁴²+9 =

2000000000000000000000000000000000000000009_<43>

= 11 · 4241 · 11497 · 3728932368795505641616445421060947_<34>

2·10⁴³+9 =

20000000000000000000000000000000000000000009_<44>

= 23 · 41 · 21208907741251325556733828207847295864263_<41>

2·10⁴⁴+9 =

200000000000000000000000000000000000000000009_<45>

= 11 · 67 · 36528474011_<11> · 7429010599852401467336771554187_<31>

2·10⁴⁵+9 =

2000000000000000000000000000000000000000000009_<46>

= 7² · 6074034929_<10> · 6719804381719623940272402683357929_<34>

2·10⁴⁶+9 =

20000000000000000000000000000000000000000000009_<47>

= 11 · 283 · 449 · 1907 · 32059 · 234047426113207262147671874889889_<33>

2·10⁴⁷+9 =

200000000000000000000000000000000000000000000009_<48>

= 1731067467438184669_<19> · 115535647086003523584167000861_<30>

2·10⁴⁸+9 =

2000000000000000000000000000000000000000000000009_<49>

= 11 · 41 · 163 · 28537 · 36468931 · 168818627520547_<15> · 154851043313464577_<18>

2·10⁴⁹+9 =

20000000000000000000000000000000000000000000000009_<50>

= 189198096947243195029_<21> · 105709308511580247938565203621_<30>

2·10⁵⁰+9 =

200000000000000000000000000000000000000000000000009_<51>

= 11² · 43 · 113 · 59107 · 16211680485621601_<17> · 355001978506001694400033_<24>

2·10⁵¹+9 =

2000000000000000000000000000000000000000000000000009_<52>

= 7 · 538723 · 85044023 · 488249074145149_<15> · 12772655934378094780447_<23>

2·10⁵²+9 =

20000000000000000000000000000000000000000000000000009_<53>

= 11 · 17 · 106951871657754010695187165775401069518716577540107_<51>

2·10⁵³+9 =

200000000000000000000000000000000000000000000000000009_<54>

= 41 · 2703956023_<10> · 1562577159727_<13> · 7920589175167_<13> · 145763086274943607_<18>

2·10⁵⁴+9 =

2000000000000000000000000000000000000000000000000000009_<55>

= 11 · 2911019240065883_<16> · 62458598457792006328210826619359720993_<38>

2·10⁵⁵+9 =

20000000000000000000000000000000000000000000000000000009_<56>

= 3023 · 2270987 · 2913246278409705136446520782589641894213466709_<46>

2·10⁵⁶+9 =

200000000000000000000000000000000000000000000000000000009_<57>

= 11 · 19 · 3539 · 6565331 · 3670344089_<10> · 11221211285062218825102052466375801_<35>

2·10⁵⁷+9 =

2000000000000000000000000000000000000000000000000000000009_<58>

= 7 · 29 · 107 · 5342927 · 188120825317456907_<18> · 91608139747400811360509956061_<29>

2·10⁵⁸+9 =

20000000000000000000000000000000000000000000000000000000009_<59>

= 11 · 41 · 219043145841147320217666241_<27> · 202452799123852793233265501699_<30>

2·10⁵⁹+9 =

200000000000000000000000000000000000000000000000000000000009_<60>

= 367 · 1303 · 294641 · 2301389 · 20101589 · 667062216563_<12> · 45998065950907597606763_<23>

2·10⁶⁰+9 =

2000000000000000000000000000000000000000000000000000000000009_<61>

= 11 · 563 · 101467 · 13139851787_<11> · 693028866500016187_<18> · 349512171627437692539331_<24>

2·10⁶¹+9 =

20000000000000000000000000000000000000000000000000000000000009_<62>

= 4283 · 28844463821_<11> · 26729010502241_<14> · 24461633261845369_<17> · 247600272560040847_<18>

2·10⁶²+9 =

200000000000000000000000000000000000000000000000000000000000009_<63>

= 11 · 97 · 139 · 168078737 · 8023022312625828841992028418040992416510704227489_<49>

2·10⁶³+9 =

2000000000000000000000000000000000000000000000000000000000000009_<64>

= 7 · 41 · 68521 · 29751563 · 380358699283_<12> · 8987135022148872197993855300256665423_<37>

2·10⁶⁴+9 =

20000000000000000000000000000000000000000000000000000000000000009_<65>

= 11 · 857 · 27017 · 84311281819_<11> · 163439249699118427_<18> · 5698719932220935368650763027_<28>

2·10⁶⁵+9 =

200000000000000000000000000000000000000000000000000000000000000009_<66>

= 23 · 8695652173913043478260869565217391304347826086956521739130434783_<64>

2·10⁶⁶+9 =

2000000000000000000000000000000000000000000000000000000000000000009_<67>

= 11 · 1601598851_<10> · 11969892307_<11> · 20332669969_<11> · 466443351749446330897573017637655843_<36>

2·10⁶⁷+9 =

20000000000000000000000000000000000000000000000000000000000000000009_<68>

= 61 · 349 · 6709 · 478660063162785401_<18> · 2536263714501575129_<19> · 115344088021464462949421_<24>

2·10⁶⁸+9 =

200000000000000000000000000000000000000000000000000000000000000000009_<69>

= 11 · 17 · 41 · 59 · 7227388910897_<13> · 3289997519865923_<16> · 18594115536462765214221462835200563_<35>

2·10⁶⁹+9 =

2000000000000000000000000000000000000000000000000000000000000000000009_<70>

= 7 · 539740801 · 1949722149563899718621_<22> · 271502592538863503531227531866382719547_<39>

2·10⁷⁰+9 =

20000000000000000000000000000000000000000000000000000000000000000000009_<71>

= 11 · 2015033 · 16298006497216920746969_<23> · 55363133267774886724404466350444678652747_<41>

2·10⁷¹+9 =

200000000000000000000000000000000000000000000000000000000000000000000009_<72>

= 43 · 83 · 245577779992609_<15> · 228188828458774720372776116881640164992479027739767929_<54>

2·10⁷²+9 =

2000000000000000000000000000000000000000000000000000000000000000000000009_<73>

= 11² · 181273 · 26916707 · 57880195778602153990643_<23> · 58527447576177963010919224531233473_<35>

2·10⁷³+9 =

20000000000000000000000000000000000000000000000000000000000000000000000009_<74>

= 41 · 89 · 501432247 · 1058333453193154149893175191567_<31> · 10328121737167435895349294449809_<32>

2·10⁷⁴+9 =

200000000000000000000000000000000000000000000000000000000000000000000000009_<75>

= 11 · 19 · 22123 · 43255336032322117296792378928855137230797712744341282871081580212587_<68>

2·10⁷⁵+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000009_<76>

= 7 · 47 · 405047 · 235700724911720503_<18> · 1084648200895015927_<19> · 58705509196858509238041564866903_<32>

2·10⁷⁶+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000009_<77>

= 11 · 135241 · 526937 · 1580987 · 20035216001_<11> · 1157925690587833_<16> · 695612255861189718959992970837417_<33>

2·10⁷⁷+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000009_<78>

= 67 · 2985074626865671641791044776119402985074626865671641791044776119402985074627_<76>

2·10⁷⁸+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000009_<79>

= 11 · 41 · 449 · 305017 · 78741913 · 76522719281_<11> · 20305796531751219017_<20> · 264646820848193818596505270123_<30>

2·10⁷⁹+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000009_<80>

= 229 · 31077602691094392542803_<23> · 2810263243583837226156189011309719115572048079559636407_<55>

2·10⁸⁰+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000009_<81>

= 11 · 39771059 · 27836603215538022005345017_<26> · 16423053823408056835791531692774764353830594273_<47>

2·10⁸¹+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000009_<82>

= 7 · 7649 · 4425301816783_<13> · 1278970397125878266903_<22> · 6599695620279254922475936937462701538747687_<43>

2·10⁸²+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000009_<83>

= 11 · 1112467 · 3272715447524445111888642702192846283_<37> · 499392398091346738710766423887072983179_<39> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁸³+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000000009_<84>

= 41 · 101076595663_<12> · 187877398175321_<15> · 256874501021852149176435997053760056758145817339890847463_<57>

2·10⁸⁴+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<85>

= 11 · 17 · 379 · 28219491202573617597674713924907933909951603572587586245819987865618782893344433_<80>

2·10⁸⁵+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<86>

= 29 · 2838202880048942448717220328062944203_<37> · 242990089701374897288622846361937103373749756407_<48> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁸⁶+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<87>

= 11 · 9721 · 28499 · 35803 · 82071802817_<11> · 547401292843566242954582707_<27> · 40801632078104344642174583807587873_<35>

2·10⁸⁷+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<88>

= 7² · 23 · 307 · 25849 · 4108483 · 54430517486392339090785773613953990227402617124363175922445962299430943_<71>

2·10⁸⁸+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<89>

= 11 · 41 · 1702721 · 27721220343381257076458424944002176353_<38> · 939501800230822486174052085248184918431843_<42> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁸⁹+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<90>

= 2140969 · 1886580489308539446706320638087827063_<37> · 49515854479238906606262876846361163979289913447_<47> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁹⁰+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<91>

= 11 · 452160227 · 12458065615317241_<17> · 6443608918628362377014196737_<28> · 5009163004689515461591613905321010641_<37>

2·10⁹¹+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<92>

= 21089 · 114661 · 140216227 · 11916483323_<11> · 4950076349176704697425435045834741583904776163113112008777440101_<64>

2·10⁹²+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<93>

= 11 · 19 · 43 · 10896922858883096372867_<23> · 126711412399413252598259_<24> · 16117424543515892742052912457835019898643619_<44>

2·10⁹³+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<94>

= 7 · 41 · 181 · 6389 · 1415056261_<10> · 4050470989_<10> · 20066780047_<11> · 126965783319979654339039601_<27> · 412660610128968747552703743121_<30>

2·10⁹⁴+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<95>

= 11² · 1543120989506268996285423871281737_<34> · 107113607631785513101955325009794702764258548802713911771017_<60> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁹⁵+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<96>

= 256567 · 779523477298327532379456438279279876211671805025587858142317601250355657586517361936648127_<90>

2·10⁹⁶+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<97>

= 11 · 2203 · 31660883 · 1858315750470042749433025101539_<31> · 1402750017009259714557971657708893475985709195927486729_<55> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁹⁷+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<98>

= 5843 · 60742103225637221371161109_<26> · 56351344682677980294493000094110763747146116399995372092816591898407_<68>

2·10⁹⁸+9 =

200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<99>

= 11 · 41 · 2017 · 938548729 · 54212814621329426683180997533831133966657_<41> · 4321044850333249736743790602253941241129659_<43> (Makoto Kamada / GGNFS-0.54.5b)

2·10⁹⁹+9 =

2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<100>

= 7 · 409 · 565603 · 1235085273118689102920260383221554544661177201309727157565507831379605151377395904945957581_<91>

2·10¹⁰⁰+9 =

20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009_<101>

= 11 · 17 · 317491 · 86544169 · 293811361073643157457_<21> · 13248007739908625176984095770708714983018144865175293640556425169_<65>

2·10¹⁰¹+9 =

2(0)₁₀₀9_<102>

= 20091602898139802832029_<23> · 9954407371774063900188061102342382950286301206885097912655059418057878550390621_<79>

2·10¹⁰²+9 =

2(0)₁₀₁9_<103>

= 11 · 233 · 23677673 · 32956597731712999758016395372782555411263044081914009979411272038332914167237601231808826891_<92>

2·10¹⁰³+9 =

2(0)₁₀₂9_<104>

= 41 · 421 · 863 · 199319563 · 25140967889_<11> · 848609722389294667_<18> · 1414219689329517101569_<22> · 223252558803311442422624902284607802683_<39>

2·10¹⁰⁴+9 =

2(0)₁₀₃9_<105>

= 11 · 131 · 643 · 84673 · 356312797019_<12> · 40380052744286385929_<20> · 519037828088831068431783441931_<30> · 341360119193972136545554932717011_<33> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=140052606 for P30 / Nov 6, 2007)

2·10¹⁰⁵+9 =

2(0)₁₀₄9_<106>

= 7 · 2914861 · 69291270907_<11> · 11291916234585461821_<20> · 125276015330566720088694226873317175066308201741726685037631761782661_<69>

2·10¹⁰⁶+9 =

2(0)₁₀₅9_<107>

= 11 · 54139 · 117314948419_<12> · 4118632960553843_<16> · 69505734341854253773711120742996628298486631723888025027620426927997607913_<74>

2·10¹⁰⁷+9 =

2(0)₁₀₆9_<108>

= 1609 · 75098161 · 7841038472751687801924850081_<28> · 211091654895565396061051196921548195748022311544537423496465842770161_<69>

2·10¹⁰⁸+9 =

2(0)₁₀₇9_<109>

= 11 · 41² · 139 · 317227 · 29474603 · 6231137404753_<13> · 9334243948811_<13> · 325194719751529_<15> · 1763472813619084887619_<22> · 2495042567190726259223420017_<28>

2·10¹⁰⁹+9 =

2(0)₁₀₈9_<110>

= 23 · 95905845140127483764287_<23> · 748402279230484392743519946043122325419467_<42> · 12114959912210466897728207722918366529921027_<44> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 1.20 hours on Pentium 4 2.4GHz, Windows XP / Nov 13, 2007)

2·10¹¹⁰+9 =

2(0)₁₀₉9_<111>

= 11 · 19 · 67 · 107 · 449 · 1163 · 56325617 · 2018317416964019_<16> · 118225856497661106031129_<24> · 19019153289687723044204980359442664802860560995659201_<53>

2·10¹¹¹+9 =

2(0)₁₁₀9_<112>

= 7 · 147039845194247_<15> · 1943107906138250029045376321787529767237254575572700887602566885187820379834022134562685486463321_<97>

2·10¹¹²+9 =

2(0)₁₁₁9_<113>

= 11 · 83 · 10859 · 4136577279787441_<16> · 9206018018107001474355735891329_<31> · 52973226058227628382351941365777895979723862883622018652443_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.05 hours on Pentium 4 2.4GHz, Windows XP / Nov 13, 2007)

2·10¹¹³+9 =

2(0)₁₁₂9_<114>

= 29 · 41 · 43 · 66063586712481298029647_<23> · 126503094686428494316629112361_<30> · 468076014118751200598434885891146498395685059990909881001_<57> (Sinkiti Sibata / Msieve v. 1.28 for P30 x P57 / 5.65 hours on Celeron 750MHz, Windows 2000 / Nov 14, 2007)

2·10¹¹⁴+9 =

2(0)₁₁₃9_<115>

= 11 · 285760086552214643_<18> · 636261641756465676681933792627408169020630641002713755921964003960109844998211323052685590190233_<96>

2·10¹¹⁵+9 =

2(0)₁₁₄9_<116>

= 2549 · 3610985855871191931623417922834769_<34> · 347349964829672312277520077897474727_<36> · 6255573247015228068683536228478645049008707_<43> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 0.64 hours on Core 2 Quad Q6600 / Nov 14, 2007)

2·10¹¹⁶+9 =

2(0)₁₁₅9_<117>

= 11² · 17 · 569 · 13510267 · 10095059977_<11> · 1438547896763_<13> · 870936066733004333114245895726262287882963375200068502357384411108511639579947369_<81>

2·10¹¹⁷+9 =

2(0)₁₁₆9_<118>

= 7 · 89 · 587 · 821 · 169987 · 39187267481242181451186265057292575128632379116079378543177761900373819616950590883020234339696802119467_<104>

2·10¹¹⁸+9 =

2(0)₁₁₇9_<119>

= 11 · 41 · 5590755252166048259_<19> · 7932004890976668029952475988668047207040713722544032482578473406820921785275351498473865958532801_<97>

2·10¹¹⁹+9 =

2(0)₁₁₈9_<120>

= 167 · 2887 · 26116571303_<11> · 15883659934903907149675128381456008158034180942678533028014907931056793864420110456059640172106424402207_<104>

2·10¹²⁰+9 =

2(0)₁₁₉9_<121>

= 11 · 179 · 412651 · 438017 · 4121705913569_<13> · 44783377670434516936153_<23> · 54208476616466592738601289_<26> · 561628788452468954000231229160989443071228171_<45>

2·10¹²¹+9 =

2(0)₁₂₀9_<122>

= 47 · 25022303 · 6042247621_<10> · 23276367811865773221842316006407580116078609884723_<50> · 120918048180665503779004167358585435298916357823336103_<54> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.13 hours on Pentium 4 2.4GHz, Windows XP / Nov 14, 2007)

2·10¹²²+9 =

2(0)₁₂₁9_<123>

= 11 · 18181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181819_<122>

2·10¹²³+9 =

2(0)₁₂₂9_<124>

= 7 · 41 · 54403 · 128092956546193746617145075712864522932834266095568489670680053832345918103383953321389519088444407752928669323613469_<117>

2·10¹²⁴+9 =

2(0)₁₂₃9_<125>

= 11 · 7699 · 530843 · 12933342699273453806862343859989698555609089656801_<50> · 34397439116451164611055979433447141435329163111083759614363162267_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.57 hours on Pentium 4 2.4GHz, Windows XP / Nov 14, 2007)

2·10¹²⁵+9 =

2(0)₁₂₄9_<126>

= 109 · 32687 · 81163 · 26853192701_<11> · 1663841661983_<13> · 3889078698334094567_<19> · 3980298920193276647203644370909665834088185353170255223695413807984473861_<73>

2·10¹²⁶+9 =

2(0)₁₂₅9_<127>

= 11 · 59 · 354881 · 56367028499_<11> · 7975478704936916161_<19> · 19316153596334472130615936452035148328309343369482652785083151099371690549219558500588699_<89>

2·10¹²⁷+9 =

2(0)₁₂₆9_<128>

= 61 · 327868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327869_<126>

2·10¹²⁸+9 =

2(0)₁₂₇9_<129>

= 11 · 19 · 41 · 3628268961937_<13> · 838738174203331430476288994347_<30> · 7669622162401410990558076424963758890890607406854931844023679051213111668308932099_<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 1.75 hours on Core 2 Quad Q6600 / Nov 14, 2007)

2·10¹²⁹+9 =

2(0)₁₂₈9_<130>

= 7³ · 163 · 4507 · 82003635083982433094568610504258544735069_<41> · 96789357905979190059916421135822880484975096215801511141201084498141280349953947_<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 1.72 hours on Core 2 Quad Q6600 / Nov 14, 2007)

2·10¹³⁰+9 =

2(0)₁₂₉9_<131>

= 11 · 227 · 2156045860526473_<16> · 6410442801838633_<16> · 1252178110512139743057577_<25> · 462806363651736604150975074904396566025587872497093719045267588143370929_<72>

2·10¹³¹+9 =

2(0)₁₃₀9_<132>

= 23 · 5816239007_<10> · 74887441003_<11> · 57062021722090451670266439953685372616833385097687_<50> · 349867635331476129784259517594411816903548623239985088658229_<60> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 4.46 hours on Pentium 4 2.4GHz, Windows XP / Nov 14, 2007)

2·10¹³²+9 =

2(0)₁₃₁9_<133>

= 11 · 17 · 338993 · 2059033 · 22755127841_<11> · 113606374765035095179_<21> · 64553585691076468757776709697760029089923_<41> · 91818881868322405255423164024086685058772234099_<47> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 4.49 hours on Pentium 4 2.46GHz, Windows XP / Nov 14, 2007)

2·10¹³³+9 =

2(0)₁₃₂9_<134>

= 41 · 106261 · 138657907177600053240515967083_<30> · 337482959187671618348715804443_<30> · 98101523251692854700293015379351134705420468393200528633582388590261_<68> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=188742066 for P30 / Nov 7, 2007) (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 5.55 hours on Pentium 4 2.4GHz, Windows XP / Nov 15, 2007)

2·10¹³⁴+9 =

2(0)₁₃₃9_<135>

= 11 · 43 · 422832980972515856236786469344608879492600422832980972515856236786469344608879492600422832980972515856236786469344608879492600422833_<132>

2·10¹³⁵+9 =

2(0)₁₃₄9_<136>

= 7 · 809 · 353169698039908175878509623874271587497792689387250573900759314850785802578138795691329683913120254282182588733886632526929189475543_<132>

2·10¹³⁶+9 =

2(0)₁₃₅9_<137>

= 11 · 626113 · 1638117457_<10> · 14068805453502347862038393_<26> · 7479989621822215707304648726870274177_<37> · 16845400134770192015265810071674311005731257071385123440419_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 7.86 hours on Pentium 4 2.4GHz, Windows XP / Nov 15, 2007)

2·10¹³⁷+9 =

2(0)₁₃₆9_<138>

= 1747 · 187546628295101_<15> · 17157672728274349_<17> · 1099656391248576163177704783751416330647_<40> · 32352842794331493715586477085068987078828228518142150588757859949_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 8.22 hours on Pentium 4 2.4GHz, Windows XP / Nov 16, 2007)

2·10¹³⁸+9 =

2(0)₁₃₇9_<139>

= 11² · 41 · 9034909729_<10> · 799755820751262322119275375033_<30> · 20766309102022228980253099855875658537_<38> · 2686706507069958673687375702336773298121688744721734859241_<58> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 4.74 hours on Core 2 Quad Q6600 / Nov 15, 2007)

2·10¹³⁹+9 =

2(0)₁₃₈9_<140>

= 2206123 · 2695507 · 1714842976028596963_<19> · 80349081972434863246042305841_<29> · 24409255383874634535721641370459280352084527082421144381540836807757468355109443_<80>

2·10¹⁴⁰+9 =

2(0)₁₃₉9_<141>

= 11 · 132023638883_<12> · 14886629460322550667251_<23> · 9251011762732059776576508198116050940040165589601099792830550858867066237804180470985489985428446193596243_<106>

2·10¹⁴¹+9 =

2(0)₁₄₀9_<142>

= 7 · 29 · 84089 · 1843241 · 193589288637298059074525377001965216949_<39> · 468214580957084640590379178323139739604088747_<45> · 701271823576894703710295051061370970173632749_<45> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 5.50 hours on Core 2 Quad Q6600 / Nov 15, 2007)

2·10¹⁴²+9 =

2(0)₁₄₁9_<143>

= 11 · 449 · 183695312580749129_<18> · 470754046684836857_<18> · 237679956825681386323_<21> · 36136781193374500273671200283243499_<35> · 5452012051103151492998305179171168472959562758251_<49> (Sinkiti Sibata / Msieve v. 1.28 for P35 x P49 / 3.73 hours on Pentiu3 750MHz, Windows Me / Nov 13, 2007)

2·10¹⁴³+9 =

2(0)₁₄₂9_<144>

= 41 · 67 · 3331649 · 14935649 · 82226933119967_<14> · 1277854822563168097967_<22> · 378442673724566134246810453283328526129_<39> · 36795294718689337041099821264332695452995703051552587_<53> (Jo Yeong Uk / Msieve v. 1.28 for P39 x P53 / 1.11 hours on Core 2 Quad Q6600 / Nov 14, 2007)

2·10¹⁴⁴+9 =

2(0)₁₄₃9_<145>

= 11 · 42923 · 128461577505546794238270375795409_<33> · 32974179012994192473352789524852599153449785137428491442089586166492685253837254412846376457647278813227617_<107> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=72529746 for P33 / Nov 13, 2007)

2·10¹⁴⁵+9 =

2(0)₁₄₄9_<146>

= 223 · 607 · 25023221 · 4396185525896109048128527223_<28> · 1343127428139630606668682629173058051283756157885469887158607203256795835962010194737037400857522704739043_<106>

2·10¹⁴⁶+9 =

2(0)₁₄₅9_<147>

= 11 · 19 · 443 · 5697591929599718777554446090898432894508443_<43> · 379130428884937776481991873307188799908650024737963391395977785501700705423478684413792248504210049_<99> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 8.11 hours on Cygwin on AMD 64 3200+ / Nov 16, 2007)

2·10¹⁴⁷+9 =

2(0)₁₄₆9_<148>

= 7 · 188393823755666606087_<21> · 48974472633629490212445941599538267_<35> · 30966742771240142891864085906864765198542074244953818306582481386219016872212029624089901403_<92> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 17.87 hours on Pentium 4 2.4GHz, Windows XP / Nov 17, 2007)

2·10¹⁴⁸+9 =

2(0)₁₄₇9_<149>

= 11 · 17 · 41 · 89819 · 609146353706828448793174289718131_<33> · 150327116082360350342458857196514705709372161_<45> · 317159220689745360562169219217954642762236170568071499368229363_<63> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 20.82 hours on Pentium 4 2.4GHz, Windows XP / Nov 18, 2007)

2·10¹⁴⁹+9 =

2(0)₁₄₈9_<150>

= 467 · 1867 · 4621 · 108421 · 1863452397272640607861076350654167212689_<40> · 245697714723845525541313190866322224591579633478192557941408979790414184607140661966923663278569_<96> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 9.32 hours on Core 2 Quad Q6600 / Nov 16, 2007)

2·10¹⁵⁰+9 =

2(0)₁₄₉9_<151>

= 11 · 4685001021564209421964846163_<28> · 38808568233241727255465111622004267408235160236349234301386443224741295463862147001251900944349498107851358312464940145913_<122>

2·10¹⁵¹+9 =

2(0)₁₅₀9_<152>

= 5361545627942898041009151470006806437953024698709373565545033283_<64> · 3730267610848168946728870898319835513379653329283710892077298113553792162530729021571523_<88> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 11.44 hours on Core 2 Quad Q6600 / Nov 14, 2007)

2·10¹⁵²+9 =

2(0)₁₅₁9_<153>

= 11 · 5689 · 246315360411796404596074328483957549191621049813614560388841748191993_<69> · 12975075126577197804004996961447593348172069718738575880540661517804485822477547_<80> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 16.67 hours on Cygwin on AMD 64 3200+ / Nov 17, 2007)

2·10¹⁵³+9 =

2(0)₁₅₂9_<154>

= 7 · 23 · 41 · 83 · 3482753797249_<13> · 36236576853259787647_<20> · 2959271181514799226974060568985564239580538542286449_<52> · 9774340558371489481440431760860958181256487808303078991400909109_<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 13.75 hours on Core 2 Quad Q6600 / Nov 19, 2007)

2·10¹⁵⁴+9 =

2(0)₁₅₃9_<155>

= 11 · 139 · 123307 · 830079215274331883817516423026643554541585944243418276953_<57> · 127795405115706014236248092068937621366157768320616692605819506501989361071666161673603051_<90> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve / Nov 18, 2007)

2·10¹⁵⁵+9 =

2(0)₁₅₄9_<156>

= 43² · 108166576527852893455922120064899945916711736073553272038939967550027041644131963223363980530016224986479177934018388318009734991887506760411032990805841_<153>

2·10¹⁵⁶+9 =

2(0)₁₅₅9_<157>

= 11 · 337 · 499 · 1033 · 1046662206026099142777948955601959824531665540186873027522225009756972001297720882736755439759524459786379519802778026649337513141871033947337847361_<148>

2·10¹⁵⁷+9 =

2(0)₁₅₆9_<158>

= 12301 · 2791181 · 17502507689_<11> · 148787847961_<12> · 223683442352951472019666097131220771265873039330463763885481574641169645939085095477299553197485031195749400598299687436419041_<126>

2·10¹⁵⁸+9 =

2(0)₁₅₇9_<159>

= 11 · 41 · 97 · 4773739 · 7061641 · 3675342336556885802003207981173427_<34> · 36899426515186775228625677333483856599631170454625200580800988523050776047130897857948345990003506238466139_<107> (Robert Backstrom / GMP-ECM 6.0.1 B1=873000, sigma=2242299254 for P34 / Nov 19, 2007)

2·10¹⁵⁹+9 =

2(0)₁₅₈9_<160>

= 7 · 8641 · 12601 · 2623994612036407342715201279797743334982509573673861954217599479017415356464282296204732781789170909896647189178873982694180878799857601585192930653607_<151>

2·10¹⁶⁰+9 =

2(0)₁₅₉9_<161>

= 11² · 39077573083_<11> · 877399605649669387_<18> · 4820805463206207164702265416060826003849397109007440518644968222756545515163150944740521233589890922577787096778387650666134188649_<130>

2·10¹⁶¹+9 =

2(0)₁₆₀9_<162>

= 89 · 34658477847360659014058595102069167012530568460007500101714626375633760287_<74> · 64838133432541527475079803698431770081537553848180889286332859833318730119895305215663_<86> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / Nov 18, 2007)

2·10¹⁶²+9 =

2(0)₁₆₁9_<163>

= 11 · 113 · 2081 · 2657 · 27122851242050836906551105038309233622985323233_<47> · 10729015936115722072912979992395528159519097329221924474233456905349010539193520511048503243582233656097483_<107> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 36.87 hours on Cygwin on AMD 64 3200+ / Nov 21, 2007)

2·10¹⁶³+9 =

2(0)₁₆₂9_<164>

= 41 · 107 · 27509 · 165724820746440667949581173189704713420229430601915117685794075823232039533191959565331305502330037119128213198154027681165961616656564219697980932249016823_<156>

2·10¹⁶⁴+9 =

2(0)₁₆₃9_<165>

= 11 · 17 · 19 · 2124275874910691323_<19> · 67130200642296191884709171155818744379421413745297802772910633_<62> · 394735263859854699241113017883444812425244047937865162764408227983060854002018867_<81> (Robert Backstrom / GGNFS-0.77.1-20051202-k8 snfs, Msieve 1.33 / Jan 22, 2008)

2·10¹⁶⁵+9 =

2(0)₁₆₄9_<166>

= 7 · 221941 · 68599261 · 9200902203664309_<16> · 11100519924069883_<17> · 366998242783326060323_<21> · 500653503730584794024899566091031624992527253317851284646276669116306478098290592678409962135563427_<99>

2·10¹⁶⁶+9 =

2(0)₁₆₅9_<167>

= 11 · 347 · 800524808177_<12> · 97508708774457730801_<20> · 67125824792697930457794534244975450824686622250750857408418920499615396427444999039607095327460647317831111266266975619349516276801_<131>

2·10¹⁶⁷+9 =

2(0)₁₆₆9_<168>

= 47 · 184481867 · 10008810089_<11> · 118729587401_<12> · 10440234088181_<14> · 6290280740566369228935563961231140837620944228695383054749943_<61> · 295567569227359507343672924451640185453395509237894904088703543_<63> (matsui / GGNFS-0.77.1-20060513-pentium4 snfs / Dec 26, 2007)

2·10¹⁶⁸+9 =

2(0)₁₆₇9_<169>

= 11 · 41 · 1389038782966586131_<19> · 3192560103305722288900863446601222937194306703129145197972621029629549708641696678126113794171311437199080814984787729484691806467906510934861583889_<148>

2·10¹⁶⁹+9 =

2(0)₁₆₈9_<170>

= 29 · 2896121 · 642722461 · 8651584635503_<13> · 42824880228868782876595963844344828682420295522265569529247315928824373869792581134014087169631499505135901247030728767584235733732436999047_<140>

2·10¹⁷⁰+9 =

2(0)₁₆₉9_<171>

= 11 · 20856546081214729_<17> · 31898045403876622590018206760962939_<35> · 27329447332447825571832005501356411557247380282440211338517340420235479911185535153515772085011975930967362685161689849_<119> (Serge Batalov / GMP-ECM 6.2.1 B1=43000000, sigma=2478872043 for P35 / Oct 2, 2008)

2·10¹⁷¹+9 =

2(0)₁₇₀9_<172>

= 7² · 3181 · 55360013450292649181_<20> · 332698364302461530229511915253909389_<36> · 327466429908302051990172078925450170528187_<42> · 2127436513348211799209267764223221467462419313254632912251556151595967_<70> (Dmitry Domanov / Jun 10, 2009) (Robert Backstrom / GMP-ECM 6.2.1 B1=4406000, sigma=3722705023 for P42 / Jun 12, 2009)

2·10¹⁷²+9 =

2(0)₁₇₁9_<173>

= 11 · 2131849 · 5772855211_<10> · 147737316174756038891708020702800545898856355428222063743708994992070429014539191597443956854326436517737360645673355805169692360709183154062481407035350121_<156>

2·10¹⁷³+9 =

2(0)₁₇₂9_<174>

= 41 · 3347 · 3930707656181641_<16> · 370782887250882734022208477041896772413367067042038250946757410655335914342142050693926419189967863318431562431976177381924173534188645587196436067434787_<153>

2·10¹⁷⁴+9 =

2(0)₁₇₃9_<175>

= 11 · 449 · 773713 · 2243296177_<10> · 74158382575383580813200721_<26> · 6474833169609810754024951641805051_<34> · 6504635362555600808299400218239308558804216297_<46> · 74698635967538385695610601830647283165089131842313_<50> (Robert Backstrom / GMP-ECM 6.1.3 B1=2726000, sigma=261808550, Msieve v. 1.33 for P46 x P50 / Feb 15, 2008)

2·10¹⁷⁵+9 =

2(0)₁₇₄9_<176>

= 23 · 8128184047_<10> · 4882696943921_<13> · 7179446402803_<13> · 3051812893602400751283328896943780404497982270223713292106047294906441748524831527390410805565775746287174379577260949135602173360731485403_<139>

2·10¹⁷⁶+9 =

2(0)₁₇₅9_<177>

= 11 · 43 · 67 · 26083 · 5439697 · 44479695080952416094994129413400367705614886095907492171811716697530070572624930861671775506801765198639835983756887662575726072847527925710053363419149085253049_<161>

2·10¹⁷⁷+9 =

2(0)₁₇₆9_<178>

= 7 · 13915141 · 2216581807987_<13> · 196483701915073792726649_<24> · 47144827145886381548402938267502574394578984989719837021528821504080877556295585455896611622975356990280793621394670242672135607742489_<134>

2·10¹⁷⁸+9 =

2(0)₁₇₇9_<179>

= 11 · 41 · 2011 · 2559497 · [8615624415878072203360723260840096901367355601829474770225244475330578109510319754190020344782469241417082636571916661607411507759881873599828193760948365878563734577_<166>] SUBMIT/RESERVE

2·10¹⁷⁹+9 =

2(0)₁₇₈9_<180>

= 71174055487_<11> · [2810012702402916539317306641478719536211103693125149346177511853322839726242618231037207610060715156673758699007377246995513754459891340714434734287238297749298518906807_<169>] SUBMIT/RESERVE

2·10¹⁸⁰+9 =

2(0)₁₇₉9_<181>

= 11 · 17 · 6079571 · [1759200964307415945881496667699103596597795757959022961844803753598653378104728130809208685572388363453139337529090378040913995429439325843510012580688204114303635818829417_<172>] SUBMIT/RESERVE

2·10¹⁸¹+9 =

2(0)₁₈₀9_<182>

= 19526445927449_<14> · [1024251933726726412159577217922272529137088964444678845265845863752286681411054066011468935166086174372679904828164827085696310014344289168171848755274554265733978755441_<169>] SUBMIT/RESERVE

2·10¹⁸²+9 =

2(0)₁₈₁9_<183>

= 11² · 19 · 4792421492537717215974620350584419014570035427_<46> · 18152482101795525258673725492310366645321546282550812322674378256610903698310179167802038160476302016480186262806948758018518330672633_<134> (Serge Batalov / Msieve-1.38 snfs / 220.00 hours on Opteron-2.2GHz; Linux x86_64 / Oct 21, 2008)

2·10¹⁸³+9 =

2(0)₁₈₂9_<184>

= 7 · 41 · 349 · 266221 · 10939063185828649_<17> · [6856464482490018001444773324050028540933716416510729022191794797020840270795309636458372328059570593686611556858681441235580276482585545763581260344523863767_<157>] SUBMIT/RESERVE

2·10¹⁸⁴+9 =

2(0)₁₈₃9_<185>

= 11 · 59 · 30816640986132511556240369799691833590138674884437596302003081664098613251155624036979969183359013867488443759630200308166409861325115562403697996918335901386748844375963020030816641_<182>

2·10¹⁸⁵+9 =

2(0)₁₈₄9_<186>

= 3221 · 25309 · [2453376974657192395380246995934962890035878062208538048730420963056203100555740178987834549997731239642685761332372116590509143067439321761972654439436543214413776182761079269481_<178>] SUBMIT/RESERVE

2·10¹⁸⁶+9 =

2(0)₁₈₅9_<187>

= 11 · 571 · 1297 · 90336178769_<11> · [2717687458851689874213860204251139251360870739438748418027921708986397314502883556437734594257957018606360831173069385218160418921517658081506947281834237272090046083873_<169>] SUBMIT/RESERVE

2·10¹⁸⁷+9 =

2(0)₁₈₆9_<188>

= 61 · 149 · 283 · 70663 · 2939271579080203_<16> · 4012670006992512529_<19> · 5937247290902120471857247_<25> · 875378053458562890900671686629987206094799966703_<48> · 1795070177818256857278501924746661172178297270528928854534971402770967_<70> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P48 x P70 / 33.41 hours on Core 2 Quad Q6600 / Dec 23, 2007)

2·10¹⁸⁸+9 =

2(0)₁₈₇9_<189>

= 11 · 41 · 14593 · 23091128449_<11> · 1305147022359775081_<19> · 463365458429616581769746971_<27> · 2176108879669829946811131184844482932647465554855729473490963124662285745985824123016192327941045862554688838884761265440104337_<127>

2·10¹⁸⁹+9 =

2(0)₁₈₈9_<190>

= 7 · 601769500435849_<15> · 262389630418130593543987483_<27> · [1809485533169290217409489091088041351674949891302338226833752465420880273918933289937827475608808336029137579448729102545064298026457656894397936661_<148>] SUBMIT/RESERVE

2·10¹⁹⁰+9 =

2(0)₁₈₉9_<191>

= 11 · 2267 · 3598257171209322387124035246065550912037121_<43> · 222891543042545298957116640948488621345212099759851442244790596744882493938600415976943482712976628381818095574564453234501990920912116689990817_<144> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 868.84 hours / Oct 30, 2008)

2·10¹⁹¹+9 =

2(0)₁₉₀9_<192>

= 139787422364207720750158040677389843257571643_<45> · [1430743886806296706788516093667434949145159858014350886258366962866810355411884866166709798529837275207436439253831768696683312353651987615427655563_<148>] (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=3278687019 for P45 / Nov 16, 2007) SUBMIT/RESERVE

2·10¹⁹²+9 =

2(0)₁₉₁9_<193>

= 11 · 20093929 · 18030878833963_<14> · 1763760718928113_<16> · 9175528006628232666271619_<25> · 920387728051512002382691993_<27> · 853103872666102935229522644049_<30> · 4895647020240705920122343772853433_<34> · 8066813022775334158349877246657430676371_<40> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1130780830 for P30 / Nov 12, 2007) (Makoto Kamada / Msieve 1.29 for P34 x P40 / 4 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Nov 13, 2007)

2·10¹⁹³+9 =

2(0)₁₉₂9_<194>

= 41 · 200183 · 5328527 · 1518763338461_<13> · 711262813661921_<15> · 8504621858298220990261_<22> · [49777898511385657017959200641343160463020017114075893159149402568741104300447500577409539628482154712527537552631680837117009800329_<131>] SUBMIT/RESERVE

2·10¹⁹⁴+9 =

2(0)₁₉₃9_<195>

= 11 · 83 · 386297 · 30012787171_<11> · 305322490515193_<15> · [61883199259747724562380534631415342215058277850786191528768621756932108340713067029550933363785618882216426350755693966004769148805814527697569597938687958692323_<161>] SUBMIT/RESERVE

2·10¹⁹⁵+9 =

2(0)₁₉₄9_<196>

= 7 · 263 · 5309 · 376787 · 398925029 · [1361370345767302747941730736023841171113104083412070023836389932600540979161622707006251513939158068623112544322083644768466163659858596440903382444253811245649964698340597107_<175>] SUBMIT/RESERVE

2·10¹⁹⁶+9 =

2(0)₁₉₅9_<197>

= 11 · 17 · 276401 · 1726033 · 192367662427_<12> · 16215174894011_<14> · [71869724412243297840988422997381070964374068249985264879288574019393135254816261483599282410747796205385233261533163733245649343197786120740999682998238726307_<158>] SUBMIT/RESERVE

2·10¹⁹⁷+9 =

2(0)₁₉₆9_<198>

= 23 · 29 · 43 · 1663 · 1270728829_<10> · 7478155481_<10> · [441261547377101553943184718430593302353558286652164278897035962420490444410267655293976362774933715520569122637007623081491011664619748646207372810910607173269852690323747_<171>] SUBMIT/RESERVE

2·10¹⁹⁸+9 =

2(0)₁₉₇9_<199>

= 11 · 41 · 5849 · 758179141809447594468173345529908461241313636344681885091127446501932029998115924832603522727746589236358177473815335613683465515548548295442698905454681926790980246021549725747649928977568891_<192>

2·10¹⁹⁹+9 =

2(0)₁₉₈9_<200>

= 393247 · 515227 · 50801941129_<11> · 1943057518788892674996489053163666044563133706774085489925583164769140268905687598674402893274850598879509301301620344934914433732134714629152026503619122194136568049500793856909_<178>

2·10²⁰⁰+9 =

2(0)₁₉₉9_<201>

= 11 · 19 · 139 · 1259 · 5326345617905713_<16> · [1026629727026961890303868374087446104834952277314238761282614528691262511181786542854140567223045121667140992883244084696426660753813393013695648869548121044500689194672420552177_<178>] SUBMIT/RESERVE

4. References

• A101392 (On-Line Encyclopedia of Integer Sequences)