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STUDIO KAMADA

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Sequence

General term

Room for prime numbers

Prime numbers

1. (26·10²-71)/9 = 281 is prime. (Makoto Kamada / Nov 24, 2004)
2. (26·10¹²-71)/9 = 2(8)₁₁1_<13> is prime. (Makoto Kamada / Nov 24, 2004)
3. (26·10²⁷-71)/9 = 2(8)₂₆1_<28> is prime. (Makoto Kamada / Nov 24, 2004)
4. (26·10⁴⁴-71)/9 = 2(8)₄₃1_<45> is prime. (Makoto Kamada / Nov 24, 2004)
5. (26·10⁸⁰-71)/9 = 2(8)₇₉1_<81> is prime. (Makoto Kamada / Nov 24, 2004)
6. (26·10¹¹⁹-71)/9 = 2(8)₁₁₈1_<120> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PPSIQS / Dec 31, 2004)
7. (26·10¹³¹-71)/9 = 2(8)₁₃₀1_<132> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PPSIQS / Dec 31, 2004)
8. (26·10²⁷⁵-71)/9 = 2(8)₂₇₄1_<276> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PPSIQS / Dec 31, 2004)
9. (26·10³¹⁵-71)/9 = 2(8)₃₁₄1_<316> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Makoto Kamada / PPSIQS / Dec 31, 2004)
10. (26·10⁸⁷⁶-71)/9 = 2(8)₈₇₅1_<877> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
11. (26·10¹³⁰⁷-71)/9 = 2(8)₁₃₀₆1_<1308> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 10, 2006)

• 1-10000

• A102960 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

(26·10¹-71)/9 =

21

= 3 · 7

(26·10²-71)/9 =

281

= definitely prime number

(26·10³-71)/9 =

2881

= 43 · 67

(26·10⁴-71)/9 =

28881

= 3² · 3209

(26·10⁵-71)/9 =

288881

= 17 · 16993

(26·10⁶-71)/9 =

2888881

= 179 · 16139

(26·10⁷-71)/9 =

28888881

= 3 · 7² · 196523

(26·10⁸-71)/9 =

288888881

= 1259 · 229459

(26·10⁹-71)/9 =

2888888881_<10>

= 14939 · 193379

(26·10¹⁰-71)/9 =

28888888881_<11>

= 3 · 23 · 173 · 2420113

(26·10¹¹-71)/9 =

288888888881_<12>

= 11923 · 24229547

(26·10¹²-71)/9 =

2888888888881_<13>

= definitely prime number

(26·10¹³-71)/9 =

28888888888881_<14>

= 3² · 7 · 17737 · 25852951

(26·10¹⁴-71)/9 =

288888888888881_<15>

= 76631 · 3769869751_<10>

(26·10¹⁵-71)/9 =

2888888888888881_<16>

= 257 · 829 · 6073 · 2232749

(26·10¹⁶-71)/9 =

28888888888888881_<17>

= 3 · 229 · 251 · 1801 · 93022213

(26·10¹⁷-71)/9 =

288888888888888881_<18>

= 19 · 29 · 107 · 593 · 8263057381_<10>

(26·10¹⁸-71)/9 =

2888888888888888881_<19>

= 74017 · 275461 · 141690013

(26·10¹⁹-71)/9 =

28888888888888888881_<20>

= 3 · 7 · 1117 · 11159 · 110365438487_<12>

(26·10²⁰-71)/9 =

288888888888888888881_<21>

= 223 · 57947 · 22356047240701_<14>

(26·10²¹-71)/9 =

2888888888888888888881_<22>

= 17 · 17551 · 252899 · 38285377957_<11>

(26·10²²-71)/9 =

28888888888888888888881_<23>

= 3³ · 193 · 5543828226614639971_<19>

(26·10²³-71)/9 =

288888888888888888888881_<24>

= 613 · 78311 · 2163919 · 2781035893_<10>

(26·10²⁴-71)/9 =

2888888888888888888888881_<25>

= 43 · 8209 · 11093 · 737773606171991_<15>

(26·10²⁵-71)/9 =

28888888888888888888888881_<26>

= 3 · 7 · 2385167227_<10> · 576756782538743_<15>

(26·10²⁶-71)/9 =

288888888888888888888888881_<27>

= 127 · 13799 · 44562403 · 3699226308499_<13>

(26·10²⁷-71)/9 =

2888888888888888888888888881_<28>

= definitely prime number

(26·10²⁸-71)/9 =

28888888888888888888888888881_<29>

= 3 · 857 · 455431 · 38926891 · 633806157791_<12>

(26·10²⁹-71)/9 =

288888888888888888888888888881_<30>

= 47 · 154487 · 39786985985998255707929_<23>

(26·10³⁰-71)/9 =

2888888888888888888888888888881_<31>

= 167 · 281 · 3301 · 41213 · 452510117698375631_<18>

(26·10³¹-71)/9 =

28888888888888888888888888888881_<32>

= 3² · 7 · 14563 · 31487591285252023652994149_<26>

(26·10³²-71)/9 =

288888888888888888888888888888881_<33>

= 23 · 1579 · 7954646278296359525535944293_<28>

(26·10³³-71)/9 =

2888888888888888888888888888888881_<34>

= 379 · 2339 · 16885432592629_<14> · 192996403211069_<15>

(26·10³⁴-71)/9 =

28888888888888888888888888888888881_<35>

= 3 · 59 · 6141981383608039_<16> · 26573519410973527_<17>

(26·10³⁵-71)/9 =

288888888888888888888888888888888881_<36>

= 19 · 683 · 932051587867_<12> · 23884523597314400659_<20>

(26·10³⁶-71)/9 =

2888888888888888888888888888888888881_<37>

= 67 · 138268168457_<12> · 311841438933148995814499_<24>

(26·10³⁷-71)/9 =

28888888888888888888888888888888888881_<38>

= 3 · 7 · 17 · 113 · 10211365123_<11> · 70129440425037205245967_<23>

(26·10³⁸-71)/9 =

288888888888888888888888888888888888881_<39>

= 87503816841621163_<17> · 3301443289174089827987_<22>

(26·10³⁹-71)/9 =

2888888888888888888888888888888888888881_<40>

= 198997547187721_<15> · 14517208527016184712009961_<26>

(26·10⁴⁰-71)/9 =

28888888888888888888888888888888888888881_<41>

= 3² · 3209876543209876543209876543209876543209_<40>

(26·10⁴¹-71)/9 =

288888888888888888888888888888888888888881_<42>

= 149 · 359 · 5400700844794243683776502381501353291_<37>

(26·10⁴²-71)/9 =

2888888888888888888888888888888888888888881_<43>

= 58147 · 9373703 · 5300200961631623268574798740941_<31>

(26·10⁴³-71)/9 =

28888888888888888888888888888888888888888881_<44>

= 3 · 7 · 163 · 22245284071_<11> · 379390090706153081176280864057_<30>

(26·10⁴⁴-71)/9 =

288888888888888888888888888888888888888888881_<45>

= definitely prime number

(26·10⁴⁵-71)/9 =

2888888888888888888888888888888888888888888881_<46>

= 29 · 43 · 1151 · 2012746413382658006592983117005671222673_<40>

(26·10⁴⁶-71)/9 =

28888888888888888888888888888888888888888888881_<47>

= 3 · 228518093 · 30932380872488993_<17> · 1362309055912122868423_<22>

(26·10⁴⁷-71)/9 =

288888888888888888888888888888888888888888888881_<48>

= 877 · 329405802609907512986190295198276954263271253_<45>

(26·10⁴⁸-71)/9 =

2888888888888888888888888888888888888888888888881_<49>

= 97 · 457 · 919 · 714373755631_<12> · 99266315325830601677515832401_<29>

(26·10⁴⁹-71)/9 =

28888888888888888888888888888888888888888888888881_<50>

= 3⁴ · 7² · 5881 · 28859 · 42886171901366639655443486248759325531_<38>

(26·10⁵⁰-71)/9 =

288888888888888888888888888888888888888888888888881_<51>

= 109 · 2089807 · 122474249 · 2332765607_<10> · 4438970637091640993469509_<25>

(26·10⁵¹-71)/9 =

2888888888888888888888888888888888888888888888888881_<52>

= 227 · 1212042911_<10> · 337024098253867_<15> · 31154876223567312107639119_<26>

(26·10⁵²-71)/9 =

28888888888888888888888888888888888888888888888888881_<53>

= 3 · 2917 · 760661654172934917383_<21> · 4339919072207608163860159657_<28>

(26·10⁵³-71)/9 =

288888888888888888888888888888888888888888888888888881_<54>

= 17 · 19 · 173 · 1234253 · 4188688086903652093021444325497477823006563_<43>

(26·10⁵⁴-71)/9 =

2888888888888888888888888888888888888888888888888888881_<55>

= 23² · 61 · 1093 · 234669951697_<12> · 2919387997457_<13> · 119557236341326738200017_<24>

(26·10⁵⁵-71)/9 =

28888888888888888888888888888888888888888888888888888881_<56>

= 3 · 7 · 647 · 3377887 · 75195061 · 8370913034588550268284093104442817409_<37>

(26·10⁵⁶-71)/9 =

288888888888888888888888888888888888888888888888888888881_<57>

= 331 · 13634164596751_<14> · 64013903687959235457484019205255951790301_<41>

(26·10⁵⁷-71)/9 =

2888888888888888888888888888888888888888888888888888888881_<58>

= 433 · 4297 · 24407737 · 63613614611362159829936266854730545900578113_<44>

(26·10⁵⁸-71)/9 =

28888888888888888888888888888888888888888888888888888888881_<59>

= 3² · 151 · 281 · 4139 · 322802317 · 36844731349_<11> · 1536730100093179350755660862197_<31>

(26·10⁵⁹-71)/9 =

288888888888888888888888888888888888888888888888888888888881_<60>

= 1020821 · 282996616340072244682357522904494410762404857353922861_<54>

(26·10⁶⁰-71)/9 =

2888888888888888888888888888888888888888888888888888888888881_<61>

= 40153039375403059903673_<23> · 71946954298522263644201673139674026297_<38>

(26·10⁶¹-71)/9 =

28888888888888888888888888888888888888888888888888888888888881_<62>

= 3 · 7 · 1375661375661375661375661375661375661375661375661375661375661_<61>

(26·10⁶²-71)/9 =

288888888888888888888888888888888888888888888888888888888888881_<63>

= 557 · 518651506084181129064432475563534809495312188310392978256533_<60>

(26·10⁶³-71)/9 =

2888888888888888888888888888888888888888888888888888888888888881_<64>

= 839 · 2275327 · 59138137 · 105247136447_<12> · 1163529163938857_<16> · 208963222219616598599_<21>

(26·10⁶⁴-71)/9 =

28888888888888888888888888888888888888888888888888888888888888881_<65>

= 3 · 16972611604966540301143_<23> · 567362869884549710132756551538829507395389_<42>

(26·10⁶⁵-71)/9 =

288888888888888888888888888888888888888888888888888888888888888881_<66>

= 293 · 205303165423_<12> · 4802502202175903267180706336114502579157435218899379_<52>

(26·10⁶⁶-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888881_<67>

= 43 · 251 · 1889 · 2861 · 3727 · 13288606855937932537772430320250538588501246680720899_<53>

(26·10⁶⁷-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888881_<68>

= 3² · 7 · 487 · 941588895045431664185942077796971705253703884778491212440562201_<63>

(26·10⁶⁸-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888881_<69>

= 127 · 2714919829717411_<16> · 837857396613881405045843727358879425420241839209573_<51>

(26·10⁶⁹-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888881_<70>

= 17 · 67 · 7069211119_<10> · 113853020927_<12> · 28020098775172139203_<20> · 112466179465344525757826761_<27>

(26·10⁷⁰-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888881_<71>

= 3 · 107 · 93629 · 503550567472035121_<18> · 3377175130719667906207_<22> · 565221598503236996190347_<24>

(26·10⁷¹-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888881_<72>

= 19 · 17597 · 37885982977_<11> · 4370470381057693871797_<22> · 5218333876165203778950271917818443_<34>

(26·10⁷²-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888881_<73>

= 181 · 6924577510111_<13> · 100777008704819873_<18> · 22871651208006712143472936889482792812467_<41>

(26·10⁷³-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888881_<74>

= 3 · 7 · 29 · 85487 · 34447009 · 16108754051421344280728272168583658607199338089032883110623_<59>

(26·10⁷⁴-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888881_<75>

= 613 · 1297 · 10037 · 106441 · 27645340962411214638532669219_<29> · 12302562133103206677642660246427_<32>

(26·10⁷⁵-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888881_<76>

= 47 · 653 · 12289 · 5465105681900570729209_<22> · 1401537397207875662117524695264842227620120691_<46>

(26·10⁷⁶-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888881_<77>

= 3³ · 23 · 307 · 583447 · 718303 · 361569485704143166259985611039642132631509601714423566052703_<60>

(26·10⁷⁷-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888881_<78>

= 163621 · 10402702937849_<14> · 169724914701124344925749573586327597874902298757007837995589_<60>

(26·10⁷⁸-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888881_<79>

= 38647544077_<11> · 963372343223_<12> · 1157688674039437627037_<22> · 67022863465627573295586528878250703_<35>

(26·10⁷⁹-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888881_<80>

= 3 · 7 · 1168969 · 16368797 · 119469991 · 601773357030134149261820575383009367263471000811923999247_<57>

(26·10⁸⁰-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888881_<81>

= definitely prime number

(26·10⁸¹-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888881_<82>

= 1529233 · 350134042855576951_<18> · 952694189301155334207227_<24> · 5663296798489480753588063228719941_<34>

(26·10⁸²-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888881_<83>

= 3 · 260509753025273_<15> · 352353293170307721142239761_<27> · 104907674912728610703334779655267668391459_<42>

(26·10⁸³-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888888881_<84>

= 192244012305093716480087521259245272634289_<42> · 1502719826875120105583547596262677898150529_<43> (Makoto Kamada / GGNFS-0.54.5b)

(26·10⁸⁴-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<85>

= 22283 · 1028002024697_<13> · 126113973185142981224021057219695902178801582875181150544268438293131_<69>

(26·10⁸⁵-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<86>

= 3² · 7 · 17 · 1429 · 35404937207_<11> · 2539658861977_<13> · 331291505188149799735886167_<27> · 633664863276787571338187788043_<30>

(26·10⁸⁶-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<87>

= 281 · 137867 · 32955931347088647841648029723290765501_<38> · 226271889642993716126349935267701976474503_<42>

(26·10⁸⁷-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<88>

= 43 · 383 · 853 · 35550131 · 5784600521518154262503947829404958998753057709151595591220657721542441443_<73>

(26·10⁸⁸-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<89>

= 3 · 650505559533653354689736605353608521637_<39> · 14803301045625343174276516222728870673430348418271_<50> (Makoto Kamada / GGNFS-0.54.5b)

(26·10⁸⁹-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<90>

= 19 · 14081 · 27799 · 1957613210537999870838931613067611171_<37> · 19842102028666560640834479985607719844318351_<44>

(26·10⁹⁰-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<91>

= 333996079600410178649_<21> · 92535787813559822575000420894649281_<35> · 93471614174953405320311257038092249_<35>

(26·10⁹¹-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<92>

= 3 · 7² · 41694534985694711467994149_<26> · 4713400778623322382013357089162705919062474617871030226040720527_<64>

(26·10⁹²-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<93>

= 59 · 29191 · 20475383 · 6715555721756421703803082061533_<31> · 1219876493815405881569044817203903324084198303391_<49>

(26·10⁹³-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<94>

= 1739207 · 887666553130667_<15> · 19279544984618859541939537816451143_<35> · 97058355302509208426666658159272995843_<38>

(26·10⁹⁴-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<95>

= 3² · 15161 · 211719315560311097105064081736684687237641088530431801544085254482545778194701968419621169_<90>

(26·10⁹⁵-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<96>

= 1069 · 330413 · 4702853 · 6129012569676217683453529809548861_<34> · 28375537129854877448829271477073244037529134681_<47> (Makoto Kamada / GGNFS-0.54.5b)

(26·10⁹⁶-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<97>

= 173 · 170354564240669_<15> · 98023670683509204843676231621361170883081418556051415995751072743677866054253913_<80>

(26·10⁹⁷-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<98>

= 3 · 7 · 10445917 · 1497490223_<10> · 87942939419287202727967246532522041177969031732661276838827990810873597954039871_<80>

(26·10⁹⁸-71)/9 =

288888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<99>

= 23 · 92641 · 2067553144387_<13> · 1188654245163488175861717361_<28> · 55168038255009128344858961850910886177003463958913581_<53>

(26·10⁹⁹-71)/9 =

2888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<100>

= 8803 · 3827953 · 23201635947720613_<17> · 101426980767819684301935126708077_<33> · 36430189805401218856153610441289037059659_<41>

(26·10¹⁰⁰-71)/9 =

28888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<101>

= 3 · 3915907 · 36090418559584349_<17> · 21853506048210356568799_<23> · 3117914296414568278648500798941727097615162119765144611_<55>

(26·10¹⁰¹-71)/9 =

2(8)₁₀₀1_<102>

= 17 · 29 · 6826783 · 5039041944389_<13> · 17034125692739793260776607778967649413663992951644486810629016856870237377397391_<80>

(26·10¹⁰²-71)/9 =

2(8)₁₀₁1_<103>

= 67 · 4538946310673361934203419529586170464160589_<43> · 9499505316661328483693123081125976474462217351123397421287_<58> (Serge Batalov / Msieve-1.38 snfs / 0.30 hours on Opteron-2.8GHz; Linux x86_64 / Sep 27, 2008)

(26·10¹⁰³-71)/9 =

2(8)₁₀₂1_<104>

= 3³ · 7 · 122957 · 2859377 · 711477715669633811243963_<24> · 611058872610932479795467278209668632172821757390612976241443319147_<66>

(26·10¹⁰⁴-71)/9 =

2(8)₁₀₃1_<105>

= 2341 · 26458462171_<11> · 370732385526715253_<18> · 139843856570401837141193521969_<30> · 89962374216378031869000710849753782440938203_<44> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=1197011526 for P30 / Sep 19, 2008)

(26·10¹⁰⁵-71)/9 =

2(8)₁₀₄1_<106>

= 431 · 439 · 18353 · 72367 · 43770940957279_<14> · 764960558670767_<15> · 343333742814848883281184493663263126047009052403297477953383063_<63>

(26·10¹⁰⁶-71)/9 =

2(8)₁₀₅1_<107>

= 3 · 446120111 · 74629065549615864486910488511_<29> · 289234289525912646065905696331040565981315662962537495174904318190987_<69>

(26·10¹⁰⁷-71)/9 =

2(8)₁₀₆1_<108>

= 19 · 751 · 35081 · 256203379480958915983_<21> · 2252581338499781319109765022591621996800365695490292643824076353436523597663763_<79>

(26·10¹⁰⁸-71)/9 =

2(8)₁₀₇1_<109>

= 43 · 163527916727774226853681_<24> · 514753659624992452587910543_<27> · 798125223056022285675979858654290612491419410592861599949_<57>

(26·10¹⁰⁹-71)/9 =

2(8)₁₀₈1_<110>

= 3 · 7 · 1613 · 69226093 · 182758699286729815310887319891_<30> · 67410771328016497019214021589313374524953741887543626581908524611719_<68> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=1732740741 for P30 / Sep 19, 2008)

(26·10¹¹⁰-71)/9 =

2(8)₁₀₉1_<111>

= 127 · 1951 · 7886623688988353_<16> · 9671736314603461057887965599847505751_<37> · 15285311076956761976885931758180371769621907771691351_<53> (Justin Card / msieve 1.38 for P37 x P53 / 1.41 hours on One processor of an AMD Athlon 64 X2 3600+, 3 GB RAM, running Ubuntu Linux / Sep 27, 2008)

(26·10¹¹¹-71)/9 =

2(8)₁₁₀1_<112>

= 2767 · 3333611 · 216040609 · 729069478395533069_<18> · 2287183728027393459865876871_<28> · 869363487033546892092301105530892286871111946343_<48>

(26·10¹¹²-71)/9 =

2(8)₁₁₁1_<113>

= 3² · 29147 · 4769177979227823799073881807117328228690591_<43> · 23091435821474135828457919814168101536665195947355131326279552917_<65> (Serge Batalov / Msieve-1.38 snfs / 0.65 hours on Opteron-2.6GHz; Linux x86_64 / Sep 27, 2008)

(26·10¹¹³-71)/9 =

2(8)₁₁₂1_<114>

= 21402882559_<11> · 66298611785379051886444433_<26> · 233933146018818524294877597578708248079_<39> · 870286754579849616427691583403051247537_<39> (Makoto Kamada / Msieve 1.38 for P39 x P39 / 15 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Sep 27, 2008)

(26·10¹¹⁴-71)/9 =

2(8)₁₁₃1_<115>

= 61 · 281 · 82515401 · 2042488730913691639104650910398239582141440720934800185153713411030988033336465950595502899478863680741_<103>

(26·10¹¹⁵-71)/9 =

2(8)₁₁₄1_<116>

= 3 · 7 · 377623 · 3642949120316759470094939597591713591003888469879683338609304453545932481272754508230101612919926423076390107_<109>

(26·10¹¹⁶-71)/9 =

2(8)₁₁₅1_<117>

= 251 · 131720106875977_<15> · 8737859206605456421920387818565009399157859423070212877559556073065684698167582598414523065268146603_<100>

(26·10¹¹⁷-71)/9 =

2(8)₁₁₆1_<118>

= 17 · 367 · 123303799438487_<15> · 2521648704253213_<16> · 1489206111576747385326317635494414497587939920378747285822849103697054997132472520509_<85>

(26·10¹¹⁸-71)/9 =

2(8)₁₁₇1_<119>

= 3 · 9629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627_<118>

(26·10¹¹⁹-71)/9 =

2(8)₁₁₈1_<120>

= definitely prime number

(26·10¹²⁰-71)/9 =

2(8)₁₁₉1_<121>

= 23 · 136218576607105746678368963_<27> · 922075886144206554886576656131076386005082223938336897160903723946919615663003983326596865469_<93>

(26·10¹²¹-71)/9 =

2(8)₁₂₀1_<122>

= 3² · 7 · 47 · 142543003 · 222364605027963289594960585610198951220800558531666759_<54> · 307808683726998816731583533019641595302396302718066515573_<57> (Serge Batalov / Msieve-1.38 snfs / 1.20 hours on Opteron-2.6GHz; Linux x86_64 / Sep 27, 2008)

(26·10¹²²-71)/9 =

2(8)₁₂₁1_<123>

= 821 · 41047 · 194210021 · 32371843362773_<14> · 1363537839471737853854171703214567769643618136905315756013768004765981868298980868688485093411_<94>

(26·10¹²³-71)/9 =

2(8)₁₂₂1_<124>

= 107 · 1171 · 189319853 · 234597262348601_<15> · 519123952054151613992975315794179630294541895846149700274688784517171822460114373949070705155341_<96>

(26·10¹²⁴-71)/9 =

2(8)₁₂₃1_<125>

= 3 · 163 · 57162358247_<11> · 4863987289960456051_<19> · 82711241811099317326869797485718892733761469_<44> · 2568945372540053678056380379294551958469473628953_<49> (Justin Card / msieve 1.38 for P44 x P49 / Sep 28, 2008)

(26·10¹²⁵-71)/9 =

2(8)₁₂₄1_<126>

= 19 · 613 · 91823 · 153407 · 15699580490746648722017623746645943623109_<41> · 112158465934766181512722569942161506774982710985048339315616976232886227_<72> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 3.95 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 27, 2008)

(26·10¹²⁶-71)/9 =

2(8)₁₂₅1_<127>

= 401 · 3354622878026888455049_<22> · 16283299902589791600249813240195129893581187_<44> · 131886498973573202679378662889306990910980844571318172595187_<60> (Justin Card / GGNFS / Sep 28, 2008)

(26·10¹²⁷-71)/9 =

2(8)₁₂₆1_<128>

= 3 · 7 · 4177 · 113230714718788553945893724491447_<33> · 2908592098095199284156292274582063675219090371694461454439845943319274746957258978219884619_<91> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 5.33 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 28, 2008)

(26·10¹²⁸-71)/9 =

2(8)₁₂₇1_<129>

= 131 · 14173 · 391990036073_<12> · 209136141955673_<15> · 282253571530531905287821895982263_<33> · 6724410067927540770071296948992460956272813315912377010665593281_<64> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=821616480 for P33 / Sep 20, 2008)

(26·10¹²⁹-71)/9 =

2(8)₁₂₈1_<130>

= 29 · 43 · 30322790101_<11> · 76400328402729636583996072679655276993028676781734064123958532848712731406744190291234858392221914334108938386694323_<116>

(26·10¹³⁰-71)/9 =

2(8)₁₂₉1_<131>

= 3⁷ · 107279 · 85922473291_<11> · 114742625399467795589_<21> · 1555264010009095245215689855939_<31> · 8030298041873378200644298075643381459141156096670048678509977_<61> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=2307223106 for P31 / Sep 20, 2008)

(26·10¹³¹-71)/9 =

2(8)₁₃₀1_<132>

= definitely prime number

(26·10¹³²-71)/9 =

2(8)₁₃₁1_<133>

= 398509 · 27916677970667_<14> · 32059996951889623_<17> · 1298007338759416798757_<22> · 44910186825661846875165788128120087307_<38> · 138945178582090619144089903560714259151_<39> (Makoto Kamada / Msieve 1.38 for P38 x P39 / 8 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Sep 27, 2008)

(26·10¹³³-71)/9 =

2(8)₁₃₂1_<134>

= 3 · 7² · 17 · 151 · 1061 · 37783 · 99011812111_<11> · 1965547559984367689019258871317555515695451_<43> · 9813077914068196935358138454323876101771621519472202609560133578483_<67> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 3.06 hours / Sep 27, 2008)

(26·10¹³⁴-71)/9 =

2(8)₁₃₃1_<135>

= 1801897 · 265450281363670856539_<21> · 2151771244658802648860981132723919893684815718567_<49> · 280686539850995217773316080340193459612811030104024615577821_<60> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 gnfs for P49 x P60 / 19.00 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 29, 2008)

(26·10¹³⁵-71)/9 =

2(8)₁₃₄1_<136>

= 67 · 4073 · 2577318468267485992379509_<25> · 2266135705922041576057780547_<28> · 1812540111305362497474519958299985462603635906692187803862724690978797947213917_<79>

(26·10¹³⁶-71)/9 =

2(8)₁₃₅1_<137>

= 3 · 2741 · 92372285975211434631537057344098560567670446839_<47> · 38032848797379633248033194711881967676062087393154102007966129723213945990007458206473_<86> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 12.79 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 27, 2008)

(26·10¹³⁷-71)/9 =

2(8)₁₃₆1_<138>

= 11257 · 142789 · 267456302461_<12> · 14845595497047991036103_<23> · 45265045481221598104267269266172691666697998764880142075033410042315437306865697873975786165359_<95>

(26·10¹³⁸-71)/9 =

2(8)₁₃₇1_<139>

= 120949069 · 41467906931283023773_<20> · 35541916653799466686224456599258869_<35> · 16205981899812491349119706433005180738013612088106238598294885611831440295477_<77> (Robert Backstrom / GMP-ECM 6.2.1 B1=962000, sigma=110969026 for P35 / Sep 27, 2008)

(26·10¹³⁹-71)/9 =

2(8)₁₃₈1_<140>

= 3² · 7 · 173 · 2735315574127449899_<19> · 969028940637058435379565483346687500734639049776666154299653705880036734309615144908116016346872434929650138183383681_<117>

(26·10¹⁴⁰-71)/9 =

2(8)₁₃₉1_<141>

= 258551 · 1061457857440639884285723044526980992447605343813900560013_<58> · 1052644826720225490937098572168106297601845969296447812929710800726211325127987_<79> (Serge Batalov / Msieve-1.38 snfs / 5.70 hours on Q6600/Windows XP / Sep 28, 2008)

(26·10¹⁴¹-71)/9 =

2(8)₁₄₀1_<142>

= 1852300363_<10> · 48498280602860997751847_<23> · 11957796235248191680187920873_<29> · 2689316621920129151748266636989988558817843164300163318157065656999358945583080077_<82>

(26·10¹⁴²-71)/9 =

2(8)₁₄₁1_<143>

= 3 · 23 · 281 · 1277 · 351887 · 1043876039_<10> · 318812637521068164983566579422495812535445874888122847_<54> · 9963154172558509622279112283921622547309975069751848442172384313887_<67> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 17.38 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 28, 2008)

(26·10¹⁴³-71)/9 =

2(8)₁₄₂1_<144>

= 19 · 499 · 811 · 3023 · 11778986365783666685605364089_<29> · 1055139232688970450101066539881861257396800078440763829380768723165857760542270687341617581994385205902653_<106>

(26·10¹⁴⁴-71)/9 =

2(8)₁₄₃1_<145>

= 97 · 29782359679266895761741122565864833906071019473081328751431844215349369988545246277205040091638029782359679266895761741122565864833906071019473_<143>

(26·10¹⁴⁵-71)/9 =

2(8)₁₄₄1_<146>

= 3 · 7 · 1608107 · 462490307618949845351_<21> · 1849668777502947672500183140826106456358182307024383860925894413289489850919850764988120125242281394671333244035615073_<118>

(26·10¹⁴⁶-71)/9 =

2(8)₁₄₅1_<147>

= 17681 · 23242459 · 17943666279248153726359854426579738150064948201372651529_<56> · 39176962177511276591329105438819030419134508058060721100657357913796416293078491_<80> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 28.94 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Sep 27, 2008)

(26·10¹⁴⁷-71)/9 =

2(8)₁₄₆1_<148>

= 4433629 · 22802546140678726259_<20> · 28575125483363629663708169323077533792813056069075832791036233308603515800494944166208542588827288112471816020976867779271_<122>

(26·10¹⁴⁸-71)/9 =

2(8)₁₄₇1_<149>

= 3² · 7079 · 8191 · 155940502619527_<15> · 298681499547353786867_<21> · 71645980636279641188679079_<26> · 548351273705704159083138201388318961_<36> · 30252519542307107524429438513999026405036011_<44> (Makoto Kamada / Msieve 1.38 for P36 x P44 / 17 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Sep 27, 2008)

(26·10¹⁴⁹-71)/9 =

2(8)₁₄₈1_<150>

= 17² · 113 · 2154307 · 36542965889_<11> · 112368133532218289965850899209443042160089698345563763309355408011120372412458052674594364060766418159180313235943929296895149771_<129>

(26·10¹⁵⁰-71)/9 =

2(8)₁₄₉1_<151>

= 43 · 59 · 39511 · 156236473309783_<15> · 306806534558417_<15> · 90996090683978972051700665489_<29> · 278892062287133994385679444936173651725679_<42> · 23691165618220695016170882191532431070649463_<44> (Serge Batalov / Msieve-1.36 for P42 x P44 / 0.64 hours on Opteron-2.8GHz; Linux x86_64 / Sep 27, 2008)

(26·10¹⁵¹-71)/9 =

2(8)₁₅₀1_<152>

= 3 · 7 · 263 · 13679 · 3226777 · 17209986945207499_<17> · 2745596514435287531823283642891597_<34> · 2507928999895546296791005056224527982607687054515900884400907699433831261610761528623203_<88> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 31.07 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Sep 28, 2008)

(26·10¹⁵²-71)/9 =

2(8)₁₅₁1_<153>

= 127 · 12033947 · 32357092752211_<14> · 5841838267994907952234512777996809791421378473775901328667996549199008252039137277490509186794283935279535559944825097412206914959_<130>

(26·10¹⁵³-71)/9 =

2(8)₁₅₂1_<154>

= 31305484393_<11> · 92280600185661177317176958619721201286600673008435978711383259729038778489310337530316612880812193375757962797061674869605934383054313306529417_<143>

(26·10¹⁵⁴-71)/9 =

2(8)₁₅₃1_<155>

= 3 · 10493039 · 13334533 · 4570917521_<10> · 485145053135641669248545737_<27> · 31035267576004012651346185065852138769010321805851564283469921769192271481347895210841100769039168722073_<104>

(26·10¹⁵⁵-71)/9 =

2(8)₁₅₄1_<156>

= 761 · 54499 · 30564664990261253_<17> · 63836161460698741419691880404514945920853927423_<47> · 3570024888040223758946915583946688879184055497902878240186964550332918034067683819241_<85> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 42.65 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Sep 29, 2008)

(26·10¹⁵⁶-71)/9 =

2(8)₁₅₅1_<157>

= 151343 · 3327811 · 39667337 · 832273997796829361_<18> · 3034209970641607921129_<22> · 1539101763813295096540956696049_<31> · 37204674366771785637207080014338786059371882679796505450287968745701_<68> (Makoto Kamada / GMP-ECM 6.2.1 B1=250000, sigma=571760825 for P31 / Sep 22, 2008)

(26·10¹⁵⁷-71)/9 =

2(8)₁₅₆1_<158>

= 3³ · 7 · 29 · 1069127170831_<13> · 126665524459966483_<18> · 38920933129788572751461850668663377146791517046767392622328332651471009796826838347825331489893834957817320817699929770918237_<125>

(26·10¹⁵⁸-71)/9 =

2(8)₁₅₇1_<159>

= 109 · 10324367 · 37888800062586718993411_<23> · 6775323796122561021392720791721894210710345641522567973344748380668726026375367434350051236408909228034404350305916261740029257_<127>

(26·10¹⁵⁹-71)/9 =

2(8)₁₅₈1_<160>

= 149640577 · 19305518241144505135721903083071437828583679471437007950650236325197335271494501714524188775942028671066196763521493831775915224444028232321564015947953_<152>

(26·10¹⁶⁰-71)/9 =

2(8)₁₅₉1_<161>

= 3 · 1094998023968034643446213026625908789762145086429066485506433912988981_<70> · 8794198180133646807441422534325880565522933789319895295254625222992854439653169060283985967_<91> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 66.55 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Oct 1, 2008)

(26·10¹⁶¹-71)/9 =

2(8)₁₆₀1_<162>

= 19 · 632162252911445335796435973980354556377945502963326151746830745204115223_<72> · 24051860566725428718633081455487317525885368126175025927404218378326986147965349318982413_<89> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 77.65 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Oct 2, 2008)

(26·10¹⁶²-71)/9 =

2(8)₁₆₁1_<163>

= 1605341 · 34840843885409601679480678418650111005563801_<44> · 65612945889179070840638882215639321183998522259344767579_<56> · 787200458193689081759211506325782501478201241604278678679_<57> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 77.77 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Sep 29, 2008)

(26·10¹⁶³-71)/9 =

2(8)₁₆₂1_<164>

= 3 · 7 · 17482589 · 742458152998064175019_<21> · 82040906752589392506124571605912668180523_<41> · 1291824044130121762655087841332987925302619521194453123869004000921846867381372572710987124377_<94> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 92.11 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Sep 30, 2008)

(26·10¹⁶⁴-71)/9 =

2(8)₁₆₃1_<165>

= 23 · 227 · 599 · 14327 · 71023 · 90781227164104282626792394433221404648923820543835822171006084382597544053558391249359161305828679254950109178345635780998308047593518589419864132259_<149>

(26·10¹⁶⁵-71)/9 =

2(8)₁₆₄1_<166>

= 17 · 13309 · 71671 · 101477581746372523_<18> · 1787383004449952594789773835754260083_<37> · 982212133326409521576440542949381649398350348153586585505016074608770961266853317136037014383074679043_<102> (Jo Yeong Uk / GMP-ECM 6.2.1 B1=1000000, sigma=1501512258 for P37 / Sep 28, 2008)

(26·10¹⁶⁶-71)/9 =

2(8)₁₆₅1_<167>

= 3² · 251 · 331 · 5263090523549879_<16> · 1510502859597760806417065936942084544672808513_<46> · 4859865188787395072098314485948357294398599462740799180745466247719147971275211882335881557251224807_<100> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 134.13 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Oct 4, 2008)

(26·10¹⁶⁷-71)/9 =

2(8)₁₆₆1_<168>

= 47 · 3623 · 160163 · 62177173667916090994125727316510673911399562654031399314878446246681393_<71> · 170361507648356832458459057572079293694991001668148898771440660882317084143196327486739_<87> (Serge Batalov / Msieve-1.38 snfs / 30.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 4, 2008)

(26·10¹⁶⁸-71)/9 =

2(8)₁₆₇1_<169>

= 67 · 2122979 · 1511856001837_<13> · 13433831889058316132335688910396873009373778091991109237464980699374703934809231433511845110174828473933317093536073439400798548161037026510838916941_<149>

(26·10¹⁶⁹-71)/9 =

2(8)₁₆₈1_<170>

= 3 · 7 · 1627 · 114070908582737007811213_<24> · 7412233467866737649078844614418727591696572257339817915548970954562122741187976123665672782009435053166599716686877866266209455647846103666611_<142>

(26·10¹⁷⁰-71)/9 =

2(8)₁₆₉1_<171>

= 281 · 1036151797_<10> · 8352757623297097696332618845370352702448983_<43> · 118787640151714003352535632523216976307927450058745101074936089603900745826743578588056704612356256078974602954505651_<117> (Serge Batalov / Msieve-1.38 snfs / 30.00 hours on Opteron-2.6GHz; Linux x86_64 / Oct 5, 2008)

(26·10¹⁷¹-71)/9 =

2(8)₁₇₀1_<172>

= 43 · 1380617898681809_<16> · 3669494174838085730319346360886510108147157739379354571402691886612341441_<73> · 13261195602581412992450307530343836667060648761360730528724076800274659175677939043_<83> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 221.80 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Oct 6, 2008)

(26·10¹⁷²-71)/9 =

2(8)₁₇₁1_<173>

= 3 · 1867 · 9980458761793547_<16> · 32389267017818243837131_<23> · 2449546433911624471161459374915594356652322414642886072105793_<61> · 6513703188268288072413620827782285132171359163786368510031938034560281_<70> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona snfs / 242.20 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Oct 10, 2008)

(26·10¹⁷³-71)/9 =

2(8)₁₇₂1_<174>

= 3659 · 2994692089_<10> · 1180877675714413_<16> · [22326021636801033831635695383327840617695402929871448410422862775184916999270142171287433640041543698093261205040714653450318250858077911074913687_<146>] SUBMIT/RESERVE

(26·10¹⁷⁴-71)/9 =

2(8)₁₇₃1_<175>

= 61 · 70388459 · 22644944916809299781937983566931675591_<38> · [29711753102043529863724139334764046191153540703972565269144764438568718925369069665849357714992411887439678409638011808886202809_<128>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4142602450 for P38 / Oct 22, 2008) SUBMIT/RESERVE

(26·10¹⁷⁵-71)/9 =

2(8)₁₇₄1_<176>

= 3² · 7² · 51396937 · 5485541467765331185793932059381071_<34> · [232346165013524035407277568756740617921650712557593860807267789156818500888584376591986045173426639312451934844830078298810503320383_<132>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1753223694 for P34 / Nov 24, 2008) SUBMIT/RESERVE

(26·10¹⁷⁶-71)/9 =

2(8)₁₇₅1_<177>

= 107 · 613 · 5414231 · 10578209 · 230072970263_<12> · 4597194814998215328498307_<25> · 54750566371088487970140619870411787020199_<41> · 1327976953687722400410338375555843000971594563026585227832663573259827714155008331_<82> (Sinkiti Sibata / GGNFS-0.77.1-20050930-nocona gnfs for P41 x P82 / 104.16 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 1, 2008)

(26·10¹⁷⁷-71)/9 =

2(8)₁₇₆1_<178>

= 10052417 · 21365986109957_<14> · 8459473624619747_<16> · [1589988781856742765795163463058105945598920638389963623816002504572346004913439444596871565495633779381634028526365558662108824404109947601567_<142>] SUBMIT/RESERVE

(26·10¹⁷⁸-71)/9 =

2(8)₁₇₇1_<179>

= 3 · 233 · 5445889 · [7589005675767403411397788202725405989043203937538175185043036979296554368694641560088436129720953286693453306212448875494631290027159833861930243507868493970839090816771_<169>] SUBMIT/RESERVE

(26·10¹⁷⁹-71)/9 =

2(8)₁₇₈1_<180>

= 19 · 805459515280979963_<18> · 135517574063092956043_<21> · [139295761708466809985070623524073995636314287728382835218684567662166311862979853701772070493903354934782910251876679758399816088823834131411_<141>] SUBMIT/RESERVE

(26·10¹⁸⁰-71)/9 =

2(8)₁₇₉1_<181>

= 1583 · 173293 · 30652327 · 9171562003_<10> · [37459514741310987020889562333193960927299366623573348169177825535365157569288353056633523795970480385161967788461436996303258521578792345747664330187022879_<155>] SUBMIT/RESERVE

(26·10¹⁸¹-71)/9 =

2(8)₁₈₀1_<182>

= 3 · 7 · 17 · 569 · 176629 · 805171410557155800861366660155118190471817323933812169954793647407124615352336572549230663089448237613509338948993012030556552460963122456041702941730996629065027732607633_<171>

(26·10¹⁸²-71)/9 =

2(8)₁₈₁1_<183>

= 173 · 220151 · 110713051 · 6865896803327465239534403_<25> · 57448379566066515238703741_<26> · 173696152694645518216739504251668072007092977460556651727149937481711473326806807607265790218404077426739634082054239_<117>

(26·10¹⁸³-71)/9 =

2(8)₁₈₂1_<184>

= 593003743193204034604146674734025028736359951238501379_<54> · 4871619988995031102117074254428860421831102448543408974537652092788862101145035929409514449229400537835795554628125214530032586939_<130> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 785.58 hours / Oct 10, 2008)

(26·10¹⁸⁴-71)/9 =

2(8)₁₈₃1_<185>

= 3³ · 179 · 1601 · 1889 · 1116382941283_<13> · 316284036213022695489839_<24> · [5597579746375082563592237808889773706837731746581244227755762446454552805823744061249045629548648592155974142347201854183572546030028470549_<139>] SUBMIT/RESERVE

(26·10¹⁸⁵-71)/9 =

2(8)₁₈₄1_<186>

= 29 · 5503 · 10169 · 71875359003529_<14> · 1394709746073037_<16> · 2877363597220133641_<19> · [617158156357253800238573566333189314432699040441120387582829934582368592193389049441631037244285202522375613719835416916069045839_<129>] SUBMIT/RESERVE

(26·10¹⁸⁶-71)/9 =

2(8)₁₈₅1_<187>

= 23 · 10399 · 12078456075997645630177186305074856231530995408793023112125701421494913344045994760737399034559714725449725052529670030516683832010974671013052630014127148048888015523603393674512553_<182>

(26·10¹⁸⁷-71)/9 =

2(8)₁₈₆1_<188>

= 3 · 7 · 3691 · 6131 · 67933 · 894860603401049492254225588600554827613706756408911410267659179421260192360741126817593436885577268478576831428106892782068277788564155183371527642278471038356436081382904577_<174>

(26·10¹⁸⁸-71)/9 =

2(8)₁₈₇1_<189>

= 1063 · [271767534232256715793874777882303752482491899236960384655586913347966969791993310337618898296226612313159820215323507891711090205916170168286819274589735549283997073272708268004599142887_<186>] SUBMIT/RESERVE

(26·10¹⁸⁹-71)/9 =

2(8)₁₈₈1_<190>

= 149 · 82484045852903_<14> · 785112311669773_<15> · [299393817131356279336065800264145830601932691803714919545020283493239460372605841969601560541240138607504740044106613222605852456130682326992085029440958730551_<159>] SUBMIT/RESERVE

(26·10¹⁹⁰-71)/9 =

2(8)₁₈₉1_<191>

= 3 · 5323 · 6829 · 59771 · 210299 · 44902633 · 45406366813_<11> · 4279883378958839_<16> · [2415170409483583770869780725260019893286730251397827770036052814461503377873514307708622040643803660346719976536018993623719279077480504719_<139>] SUBMIT/RESERVE

(26·10¹⁹¹-71)/9 =

2(8)₁₉₀1_<192>

= 977 · [295689753212782895485044922097122711247583304901626293642670305925167747071534174911861708176958944615034686682588422608893437962015239394973274195382690776754236324348913908791083816672353_<189>] SUBMIT/RESERVE

(26·10¹⁹²-71)/9 =

2(8)₁₉₁1_<193>

= 43 · 67183462532299741602067183462532299741602067183462532299741602067183462532299741602067183462532299741602067183462532299741602067183462532299741602067183462532299741602067183462532299741602067_<191>

(26·10¹⁹³-71)/9 =

2(8)₁₉₂1_<194>

= 3² · 7 · 1201 · 553933 · 341283149332924321_<18> · 8999470872199646683363_<22> · 224418275962907346433058957357334014855466989928211348216849716457064289548832238652744346030584595954448847717026152929657225389968136526410793_<144>

(26·10¹⁹⁴-71)/9 =

2(8)₁₉₃1_<195>

= 127 · 11413826722781612615066149463171_<32> · 199294742752855759616595652474247599588531861457327919786234813849577319328816218083242071052288301464688708144297554003022214681904207255725793885068388792538693_<162> (matsui / GMP-ECM 6.2.1 for P32 / Nov 23, 2008)

(26·10¹⁹⁵-71)/9 =

2(8)₁₉₄1_<196>

= 991 · 2915125014015024105841462047314721381320775871734499383338939342975669918152259221885861643682027133086668909070523601300594237022087677990806144186568000896961542773853571028142168404529655791_<193>

(26·10¹⁹⁶-71)/9 =

2(8)₁₉₅1_<197>

= 3 · 167 · 727 · 3769 · 1054083829_<10> · 4893585078149317769_<19> · [4079719181342135483262714951197842952582483454505030294694690411450102629191417788141861585203016788076245528664872589236735273707062501228914983694696590435887_<160>] SUBMIT/RESERVE

(26·10¹⁹⁷-71)/9 =

2(8)₁₉₆1_<198>

= 17 · 19 · 1279 · 44076787 · 3347261073818741_<16> · 4739780782996463433792434116767118843629729809597926905362789451601467224955971265481895566715748028457231642783246000229562394386349807885040658509028062372928941876779_<169>

(26·10¹⁹⁸-71)/9 =

2(8)₁₉₇1_<199>

= 281 · 7743557 · 15794094665352108651876851_<26> · 56141214127490815204720556917_<29> · 6672158345324570924911004640070319_<34> · 224409447889967492996585171782030978009865301467761627115443269401396865659446660091646883625181321541_<102> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=234056921 for P34 / Nov 24, 2008)

(26·10¹⁹⁹-71)/9 =

2(8)₁₉₈1_<200>

= 3 · 7 · 475103 · 15072410100740017_<17> · 192106061735210765667943266817885418526469652353933451550948938970506863327139514207663726305796214789921563556419481550157602054801271261221217128144041912786275413208313661411_<177>

(26·10²⁰⁰-71)/9 =

2(8)₁₉₉1_<201>

= 457 · 659 · 1028189 · 201476424323633_<15> · [4630544219967713967968962352577673455388401158757702340222417409883479658001068608952268811038797432036609100662047280632247401431683186225488351600820267475211792039460491551_<175>] SUBMIT/RESERVE

(26·10²⁰¹-71)/9 =

2(8)₂₀₀1_<202>

= 67 · 709 · 45067507487_<11> · 269107696072907851_<18> · 5014413488141042333177812169589043126620088494875197575702337648730858588393975857924637968349322227175336534946919385197895618220227952108391208870447229392491953530371_<169>

(26·10²⁰²-71)/9 =

2(8)₂₀₁1_<203>

= 3² · 162829 · 204311 · 26513321 · 442088279 · 104971095584193040721_<21> · [78419119805953469383211171835519248762348051738516828595417574446325468469569199906340333128529445493620638571410528988427594700409202593350798658886882149_<155>] SUBMIT/RESERVE

(26·10²⁰³-71)/9 =

2(8)₂₀₂1_<204>

= 6505357 · 42550589 · 1043648198330154046733704862540220161769432100367395178553115796286870862014417114164702832652874586653213387400314377775147174415518048952197824902795187966631285533508703754800830862583897_<190>

(26·10²⁰⁴-71)/9 =

2(8)₂₀₃1_<205>

= 67331854193_<11> · 6528999071532135872608730759_<28> · [6571487065123080416355079490574294849836152697779826176164824020267522260176531940034284304269432357982869232342810983498756287595243297232836748074470110236605740663_<166>] SUBMIT/RESERVE

(26·10²⁰⁵-71)/9 =

2(8)₂₀₄1_<206>

= 3 · 7 · 163 · 81672722156009459_<17> · 103334872631765777357862586089817198499074094260441752889924769252669729793857468108885829418623491952058338416107649334477598326896871488092462951697868682066117300430642916616728042133_<186>