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Factorizations of 188...881

About 188...881
- First ten terms
- General term
Prime numbers of the form 188...881
Factorizations of 188...881
References

1. About 188...881

First ten terms

11, 181, 1881, 18881, 188881, 1888881, 18888881, 188888881, 1888888881, 18888888881

General term

(17·10ⁿ-71)/9

2. Prime numbers of the form 188...881

Last update

Jan 18, 2009

Searched up to

n≤63200

Difficulty of search

9.77%

Results

(17·10¹-71)/9 = 11 is prime.
(17·10²-71)/9 = 181 is prime. (Jean Claude Rosa / Oct 14, 2002)
(17·10⁸-71)/9 = 188888881 is prime. (Jean Claude Rosa / Oct 14, 2002)
(17·10¹⁴-71)/9 = 1(8)₁₃1_<15> is prime. (Jean Claude Rosa / Oct 14, 2002)
(17·10⁴⁰-71)/9 = 1(8)₃₉1_<41> is prime. (Jean Claude Rosa / Oct 14, 2002)
(17·10⁹²-71)/9 = 1(8)₉₁1_<93> is prime. (Jean Claude Rosa / Oct 14, 2002)
(17·10¹²⁸-71)/9 = 1(8)₁₂₇1_<129> is prime. (Jean Claude Rosa / Oct 14, 2002)
(17·10⁸⁸⁴-71)/9 = 1(8)₈₈₃1_<885> is prime. (Patrick De Geest / Nov 23, 2002)
(17·10⁹⁴²⁴-71)/9 = 1(8)₉₄₂₃1_<9425> is PRP. (Patrick De Geest / Dec 11, 2002)
(17·10¹⁴⁷⁶⁸-71)/9 = 1(8)₁₄₇₆₇1_<14769> is PRP. (Patrick De Geest / Feb 6, 2003)
(17·10¹⁹²⁵⁸-71)/9 = 1(8)₁₉₂₅₇1_<19259> is PRP. (Patrick De Geest / Feb 7, 2003)
(17·10³¹²³⁴-71)/9 = 1(8)₃₁₂₃₃1_<31235> is PRP. (Patrick De Geest / Nov 17, 2004)

3. Factorizations of 188...881

Last update

Nov 8, 2009

Completed up to

n≤150 / Oct 6, 2004

Range

n≤200

Terms which have not been factored yet

n=174, 180, 181, 182, 183, 184, 185, 186, 189, 191, 192, 193, 195, 197, 198, 199, 200 (17/200)

Results

(17·10¹-71)/9 =: 11; = definitely prime number

(17·10²-71)/9 =: 181; = definitely prime number

(17·10³-71)/9 =: 1881; = 3² · 11 · 19

(17·10⁴-71)/9 =: 18881; = 79 · 239

(17·10⁵-71)/9 =: 188881; = 7 · 11² · 223

(17·10⁶-71)/9 =: 1888881; = 3 · 97 · 6491

(17·10⁷-71)/9 =: 18888881; = 11 · 199 · 8629

(17·10⁸-71)/9 =: 188888881; = definitely prime number

(17·10⁹-71)/9 =: 1888888881_<10>; = 3 · 11 · 103 · 263 · 2113

(17·10¹⁰-71)/9 =: 18888888881_<11>; = 59 · 6397 · 50047

(17·10¹¹-71)/9 =: 188888888881_<12>; = 7 · 11 · 239 · 10264027

(17·10¹²-71)/9 =: 1888888888881_<13>; = 3² · 61 · 919 · 3743851

(17·10¹³-71)/9 =: 18888888888881_<14>; = 11 · 23² · 3246071299_<10>

(17·10¹⁴-71)/9 =: 188888888888881_<15>; = definitely prime number

(17·10¹⁵-71)/9 =: 1888888888888881_<16>; = 3 · 11 · 389 · 28729 · 5121797

(17·10¹⁶-71)/9 =: 18888888888888881_<17>; = 89 · 167 · 241 · 5273305007_<10>

(17·10¹⁷-71)/9 =: 188888888888888881_<18>; = 7 · 11 · 79 · 31051929786107_<14>

(17·10¹⁸-71)/9 =: 1888888888888888881_<19>; = 3 · 239 · 797 · 13883 · 238092443

(17·10¹⁹-71)/9 =: 18888888888888888881_<20>; = 11 · 7877 · 217998186768023_<15>

(17·10²⁰-71)/9 =: 188888888888888888881_<21>; = 47 · 967 · 6131 · 677876789299_<12>

(17·10²¹-71)/9 =: 1888888888888888888881_<22>; = 3⁴ · 11 · 19 · 109 · 179 · 5718677137399_<13>

(17·10²²-71)/9 =: 18888888888888888888881_<23>; = 23957 · 48812419 · 16152645007_<11>

(17·10²³-71)/9 =: 188888888888888888888881_<24>; = 7 · 11 · 29 · 431 · 1931 · 101638476105637_<15>

(17·10²⁴-71)/9 =: 1888888888888888888888881_<25>; = 3 · 10949 · 32779 · 408979 · 4289572303_<10>

(17·10²⁵-71)/9 =: 18888888888888888888888881_<26>; = 11 · 67 · 239 · 38144237 · 2811331708891_<13>

(17·10²⁶-71)/9 =: 188888888888888888888888881_<27>; = 1753 · 107751790581225835076377_<24>

(17·10²⁷-71)/9 =: 1888888888888888888888888881_<28>; = 3 · 11² · 8731 · 89909 · 6628765129609253_<16>

(17·10²⁸-71)/9 =: 18888888888888888888888888881_<29>; = 1580003 · 86826007 · 137688817917661_<15>

(17·10²⁹-71)/9 =: 188888888888888888888888888881_<30>; = 7² · 11 · 350443207586064728921871779_<27>

(17·10³⁰-71)/9 =: 1888888888888888888888888888881_<31>; = 3² · 79 · 653 · 9257 · 992183 · 442957015740397_<15>

(17·10³¹-71)/9 =: 18888888888888888888888888888881_<32>; = 11 · 1717171717171717171717171717171_<31>

(17·10³²-71)/9 =: 188888888888888888888888888888881_<33>; = 239 · 383 · 1571 · 24986681 · 52568426737716163_<17>

(17·10³³-71)/9 =: 1888888888888888888888888888888881_<34>; = 3 · 11 · 1451 · 209359 · 3310049 · 56924470754356477_<17>

(17·10³⁴-71)/9 =: 18888888888888888888888888888888881_<35>; = 28370856415469_<14> · 665784938328116936149_<21>

(17·10³⁵-71)/9 =: 188888888888888888888888888888888881_<36>; = 7 · 11 · 23 · 117911 · 3022285249147_<13> · 299294045541983_<15>

(17·10³⁶-71)/9 =: 1888888888888888888888888888888888881_<37>; = 3 · 12023189147_<11> · 52367938483836748512031841_<26>

(17·10³⁷-71)/9 =: 18888888888888888888888888888888888881_<38>; = 11 · 1717171717171717171717171717171717171_<37>

(17·10³⁸-71)/9 =: 188888888888888888888888888888888888881_<39>; = 6907 · 182211095453_<12> · 150086675143470696345311_<24>

(17·10³⁹-71)/9 =: 1888888888888888888888888888888888888881_<40>; = 3² · 11 · 19² · 239 · 401 · 27449309 · 20090480589071973407329_<23>

(17·10⁴⁰-71)/9 =: 18888888888888888888888888888888888888881_<41>; = definitely prime number

(17·10⁴¹-71)/9 =: 188888888888888888888888888888888888888881_<42>; = 7 · 11 · 107 · 1489 · 1959863 · 19186337 · 409467492473122783081_<21>

(17·10⁴²-71)/9 =: 1888888888888888888888888888888888888888881_<43>; = 3 · 197 · 3196089490505734160556495581876292536191_<40>

(17·10⁴³-71)/9 =: 18888888888888888888888888888888888888888881_<44>; = 11 · 79 · 103 · 2562947 · 105179593 · 782849537754558858023873_<24>

(17·10⁴⁴-71)/9 =: 188888888888888888888888888888888888888888881_<45>; = 311 · 811 · 326980807 · 2290355554282167473242533056723_<31>

(17·10⁴⁵-71)/9 =: 1888888888888888888888888888888888888888888881_<46>; = 3 · 11 · 293 · 7376596529_<10> · 10337937279001_<14> · 2561739288001928981_<19>

(17·10⁴⁶-71)/9 =: 18888888888888888888888888888888888888888888881_<47>; = 157 · 239 · 241 · 2088775746050183427070831012181285535067_<40>

(17·10⁴⁷-71)/9 =: 188888888888888888888888888888888888888888888881_<48>; = 7 · 11 · 6734567290657_<13> · 12802482819814033_<17> · 28451933724388613_<17>

(17·10⁴⁸-71)/9 =: 1888888888888888888888888888888888888888888888881_<49>; = 3³ · 19703639 · 3550554683661506100639185536740642057877_<40>

(17·10⁴⁹-71)/9 =: 18888888888888888888888888888888888888888888888881_<50>; = 11² · 209495323835723_<15> · 745155151364119382672517552130507_<33>

(17·10⁵⁰-71)/9 =: 188888888888888888888888888888888888888888888888881_<51>; = 6947 · 27189994082177758584840778593477600243110535323_<47>

(17·10⁵¹-71)/9 =: 1888888888888888888888888888888888888888888888888881_<52>; = 3 · 11 · 29 · 10567 · 1239817 · 179047326390370939_<18> · 841428735461919110273_<21>

(17·10⁵²-71)/9 =: 18888888888888888888888888888888888888888888888888881_<53>; = 52657108995160635725737_<23> · 358714886733049489982275843913_<30>

(17·10⁵³-71)/9 =: 188888888888888888888888888888888888888888888888888881_<54>; = 7 · 11 · 239 · 381541 · 12618111798673_<14> · 2131975458604058640306062117839_<31>

(17·10⁵⁴-71)/9 =: 1888888888888888888888888888888888888888888888888888881_<55>; = 3 · 629629629629629629629629629629629629629629629629629627_<54>

(17·10⁵⁵-71)/9 =: 18888888888888888888888888888888888888888888888888888881_<56>; = 11 · 4231 · 381495152801941_<15> · 1166143838888311_<16> · 912282943333117087591_<21>

(17·10⁵⁶-71)/9 =: 188888888888888888888888888888888888888888888888888888881_<57>; = 79 · 2463143 · 970710427096696821848895100247929549889060845673_<48>

(17·10⁵⁷-71)/9 =: 1888888888888888888888888888888888888888888888888888888881_<58>; = 3² · 11 · 19 · 23 · 104779 · 3852562157_<10> · 4843382415992795663_<19> · 22331459921635688783_<20>

(17·10⁵⁸-71)/9 =: 18888888888888888888888888888888888888888888888888888888881_<59>; = 67 · 446611116729395609_<18> · 631251001596440215600785974289058437427_<39>

(17·10⁵⁹-71)/9 =: 188888888888888888888888888888888888888888888888888888888881_<60>; = 7 · 11 · 487 · 5037171361606679881833885940662121360273310991996823619_<55>

(17·10⁶⁰-71)/9 =: 1888888888888888888888888888888888888888888888888888888888881_<61>; = 3 · 89 · 239² · 409 · 64318546933_<11> · 9753460538375387671_<19> · 482704208297108938009_<21>

(17·10⁶¹-71)/9 =: 18888888888888888888888888888888888888888888888888888888888881_<62>; = 11 · 6688827684823_<13> · 256722373199715195200685051990876399130852604677_<48>

(17·10⁶²-71)/9 =: 188888888888888888888888888888888888888888888888888888888888881_<63>; = 3079 · 178915287580335331_<18> · 342885620172554195722037654678652028227469_<42>

(17·10⁶³-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888881_<64>; = 3 · 11 · 35267 · 1623020309044070634225736729493782829762640917544935465371_<58>

(17·10⁶⁴-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888881_<65>; = 140201407 · 4593200637101_<13> · 29331793815126741731404846567310347513271083_<44>

(17·10⁶⁵-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888881_<66>; = 7 · 11 · 16553 · 959283049 · 256192330711_<12> · 603012169303797733554761010516541380259_<39>

(17·10⁶⁶-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888881_<67>; = 3² · 47 · 4465458366167586025742054110848437089571841344890990281061203047_<64>

(17·10⁶⁷-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888881_<68>; = 11 · 239 · 326537641 · 312988598281_<12> · 70299794865772373053149768569716094821180109_<44>

(17·10⁶⁸-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888881_<69>; = 59 · 467 · 284899 · 79117774231_<11> · 60185689910237_<14> · 5053348972187484752859506038525409_<34>

(17·10⁶⁹-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888881_<70>; = 3 · 11 · 79 · 443 · 215939 · 7574091871782751047243398673548117223302388349404307315279_<58>

(17·10⁷⁰-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888881_<71>; = 193 · 373 · 35232123524841037_<17> · 42406056814925311657199_<23> · 175619833189200991448843983_<27>

(17·10⁷¹-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888881_<72>; = 7² · 11² · 307 · 25853511867993404537465621489_<29> · 4013904554831371746399288197956754243_<37>

(17·10⁷²-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888881_<73>; = 3 · 61 · 32084573 · 321705924122571576141996489965028215891481364840186094802913859_<63>

(17·10⁷³-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888881_<74>; = 11 · 108263 · 198451632994609_<15> · 584962214355021815018747_<24> · 136631607764747420606121714079_<30>

(17·10⁷⁴-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888881_<75>; = 239 · 643859 · 877411 · 47826768814129_<14> · 29251195780200157933250725714392253986034495399_<47>

(17·10⁷⁵-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888881_<76>; = 3³ · 11 · 19 · 190649 · 1755746575557048119850605015237647895703962057061453248297821278283_<67>

(17·10⁷⁶-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888881_<77>; = 241 · 70079 · 1018773449_<10> · 1116271861_<10> · 960779423587_<12> · 2933971571216443_<16> · 348878561773058977113371_<24>

(17·10⁷⁷-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888881_<78>; = 7 · 11 · 103 · 659 · 6481 · 2050278913_<10> · 2719806961148323575300375584631228275320999288401625682113_<58>

(17·10⁷⁸-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888881_<79>; = 3 · 1579 · 7997391489135579374411_<22> · 5078838261811808321213861_<25> · 9817259894587692528820949303_<28>

(17·10⁷⁹-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888881_<80>; = 11 · 23 · 29 · 1631191 · 67272106682883287_<17> · 18885050517981853969_<20> · 1242309759930179768535456793031081_<34>

(17·10⁸⁰-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888881_<81>; = 3079291 · 61341681864068348489600004965067896762238089511153343054907408519977127491_<74>

(17·10⁸¹-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888881_<82>; = 3 · 11 · 239 · 2039 · 117456578393004280663544270078771977930848572581639697565340006359375522617_<75>

(17·10⁸²-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888881_<83>; = 79 · 1259 · 37225487566032100763_<20> · 5101679783792512769619239885915930821497956370819403461767_<58>

(17·10⁸³-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888888881_<84>; = 7 · 11 · 55973189 · 30358053289_<11> · 23247420261203213_<17> · 62099335081558587957575541875543079233547511661_<47>

(17·10⁸⁴-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<85>; = 3² · 547 · 2447 · 52709 · 160627 · 87875719 · 323282069828413_<15> · 651911695243987757648321742713193682350463481_<45>

(17·10⁸⁵-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<86>; = 11 · 70843 · 3280073779_<10> · 78906896351_<11> · 2159759745722360623883603_<25> · 43362345583700807183954849567056831_<35>

(17·10⁸⁶-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<87>; = 131 · 1441899915182357930449533502968617472434266327396098388464800678541136556403731976251_<85>

(17·10⁸⁷-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<88>; = 3 · 11 · 7588153 · 14677199 · 513940935187705741602900223968931014463311281590293870536658213658852631_<72>

(17·10⁸⁸-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<89>; = 113 · 239 · 503 · 6397 · 1090627 · 54151492719691744809590187599_<29> · 3680434168454545250911612478137703085783281_<43>

(17·10⁸⁹-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<90>; = 7 · 11 · 14503 · 96416077623960350809468901_<26> · 192756898316720414913257803_<27> · 9101195654201274673407573433717_<31>

(17·10⁹⁰-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<91>; = 3 · 601 · 6236328911_<10> · 167982724831_<12> · 4394610220348796354216727855593_<31> · 227560400733838638744592635900411979_<36>

(17·10⁹¹-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<92>; = 11 · 67 · 8411089 · 18287779957_<11> · 166619454446000694804403747938504700914579535464438378148129172108140381_<72>

(17·10⁹²-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<93>; = definitely prime number

(17·10⁹³-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<94>; = 3² · 11² · 19 · 1424260421_<10> · 93860045797775479503341_<23> · 682896306280167643586881670886485347375105605212310710731_<57> (Tetsuya Kobayashi)

(17·10⁹⁴-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<95>; = 107 · 577 · 1171 · 261270229060727640262111765099695240419181894029683411747675583664359255564949449797249_<87>

(17·10⁹⁵-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<96>; = 7 · 11 · 79 · 239 · 2677 · 56758794613_<11> · 103612687177_<12> · 183618907246590547_<18> · 166167417533172935483_<21> · 270478627178163755208107669_<27>

(17·10⁹⁶-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<97>; = 3 · 53045076649_<11> · 11869709111665490236242219095103746046236194394788678734512080460235166991503721328323_<86>

(17·10⁹⁷-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<98>; = 11 · 530609 · 510490817 · 28289480188430758529_<20> · 11314722030808935675157005420101_<32> · 19805340985617305898506513640583_<32>

(17·10⁹⁸-71)/9 =: 188888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<99>; = 764884946931609335775374748079702913_<36> · 246950720688948285326310608424969642485784772960376141477634737_<63> (Tetsuya Kobayashi)

(17·10⁹⁹-71)/9 =: 1888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<100>; = 3 · 11 · 35866578936059_<14> · 119133543521072149_<18> · 13395793929410528473729054874162800071645980496230030359564196664727_<68>

(17·10¹⁰⁰-71)/9 =: 18888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881_<101>; = 15913 · 106759 · 21027169 · 528772726672050661269718126528705683712768191838455904589027780525492905983587340047_<84>

(17·10¹⁰¹-71)/9 =: 1(8)₁₀₀1_<102>; = 7 · 11 · 23 · 6178048808629_<13> · 287791385635040309712002957059639_<33> · 59987218576316961135741490031965338744767996088112081_<53>

(17·10¹⁰²-71)/9 =: 1(8)₁₀₁1_<103>; = 3⁵ · 97 · 239 · 16453 · 235919 · 15022963531_<11> · 5749987145046285828584511401950543984596503912255284231741358255172342455597_<76>

(17·10¹⁰³-71)/9 =: 1(8)₁₀₂1_<104>; = 11 · 6286084853_<10> · 868654401317_<12> · 7547531012280893196241364156200907_<34> · 41665975777470043773497217988856950794247907153_<47>

(17·10¹⁰⁴-71)/9 =: 1(8)₁₀₃1_<105>; = 89 · 419 · 213101032292487490878741437207_<30> · 23769323904858224288383307246128122775298055079687572355950142840029413_<71>

(17·10¹⁰⁵-71)/9 =: 1(8)₁₀₄1_<106>; = 3 · 11 · 433 · 5443169539811459612838978354881523108810750679469_<49> · 24285816772232515489964499794143298601337172152436741_<53> (Robert Backstrom / NFSX v1.8)

(17·10¹⁰⁶-71)/9 =: 1(8)₁₀₅1_<107>; = 199 · 241 · 30489917 · 23739150881_<11> · 544145284638461410797782357577203327953965439571075491476899962872063108378733276067_<84>

(17·10¹⁰⁷-71)/9 =: 1(8)₁₀₆1_<108>; = 7 · 11 · 29 · 55827754503337_<14> · 47120427440882683451_<20> · 32155725114861186177058161035668846931690663857761674246398589459506211_<71>

(17·10¹⁰⁸-71)/9 =: 1(8)₁₀₇1_<109>; = 3 · 79 · 107857 · 73894094141015081693333241356919684869855178572663503190949107090064004065114067422562390641902391109_<101>

(17·10¹⁰⁹-71)/9 =: 1(8)₁₀₈1_<110>; = 11 · 239 · 1201 · 98717 · 49205871119090431128433_<23> · 56671588553726484035956794175747_<32> · 21731943060466480280043446832842553355871467_<44>

(17·10¹¹⁰-71)/9 =: 1(8)₁₀₉1_<111>; = 269 · 5639 · 4946161049_<10> · 9731061523059542862591971_<25> · 2587161655889504271266070630430967261240695854605158498178811975461929_<70>

(17·10¹¹¹-71)/9 =: 1(8)₁₁₀1_<112>; = 3² · 11 · 19 · 103 · 2880928711_<10> · 4514261189_<10> · 100593623090350447_<18> · 7452307151944127440396883934404874958391408730943775623362323269120859_<70>

(17·10¹¹²-71)/9 =: 1(8)₁₁₁1_<113>; = 47 · 49201 · 8106674375521100603448409_<25> · 31242436987239875790746177393544341_<35> · 32251282749618412569517260607535802629513638667_<47>

(17·10¹¹³-71)/9 =: 1(8)₁₁₂1_<114>; = 7² · 11 · 512261627 · 684109816381121846009113188981137869796560714166488964953701132628033086374743219445462080663688019577_<102>

(17·10¹¹⁴-71)/9 =: 1(8)₁₁₃1_<115>; = 3 · 66071 · 12726023 · 2168777179_<10> · 115971471683_<12> · 1683282784292843173407059_<25> · 1768717156772709603461803884296732304355301113174900920713_<58>

(17·10¹¹⁵-71)/9 =: 1(8)₁₁₄1_<116>; = 11² · 2578972552856369_<16> · 6837490548514237_<16> · 24117989973237857_<17> · 367059502990856748843509924103121966610904314285688924121993888541_<66>

(17·10¹¹⁶-71)/9 =: 1(8)₁₁₅1_<117>; = 239 · 22817 · 253669477 · 5570535081079_<13> · 24512343927648986851073027728944222175521122960683358766447593634741738199976133773557189_<89>

(17·10¹¹⁷-71)/9 =: 1(8)₁₁₆1_<118>; = 3 · 11 · 947 · 142837 · 499052388795199_<15> · 7531620134671411542583951832947_<31> · 112581550707055107135809616134596011054855155038741464149359771_<63> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(17·10¹¹⁸-71)/9 =: 1(8)₁₁₇1_<119>; = 536588029 · 1449451547_<10> · 709679588901901_<15> · 34221529465674733978742834494253493587106899738699529480590114760082784543508065287387_<86>

(17·10¹¹⁹-71)/9 =: 1(8)₁₁₈1_<120>; = 7 · 11 · 4931 · 4423007560637_<13> · 35636286791653_<14> · 4349622285745817_<16> · 16804998475251389003_<20> · 43179790865443819868791463837018668985526647939456333_<53>

(17·10¹²⁰-71)/9 =: 1(8)₁₁₉1_<121>; = 3² · 4111 · 4139 · 7608751 · 3045466273_<10> · 346576549228291553443838601198303485450873107_<45> · 1535870716176023873501840994409496072624128907388761_<52> (Robert Backstrom / PPSIQS Ver 1.1)

(17·10¹²¹-71)/9 =: 1(8)₁₂₀1_<122>; = 11 · 79 · 1531 · 78613763539_<11> · 180597966818519979372438086770806823611307973549347267411826570820190038122146321150765866916213258248061_<105>

(17·10¹²²-71)/9 =: 1(8)₁₂₁1_<123>; = 597239 · 46573161305851_<14> · 6790824928220033638323972832029363594168719286247192927578035568094999673612350335749929699698893153429_<103>

(17·10¹²³-71)/9 =: 1(8)₁₂₂1_<124>; = 3 · 11 · 23 · 239 · 16499513 · 127681816274300662863520578302977291507570195263441871_<54> · 4942726243918761184015176596966979037574298010298028549647_<58> (Robert Backstrom / NFSX v1.8)

(17·10¹²⁴-71)/9 =: 1(8)₁₂₃1_<125>; = 67 · 157 · 6271 · 43948321 · 292599473802341438408619263_<27> · 22267903332763205922331347379681684859539373092253570190739274811974589016154698903_<83>

(17·10¹²⁵-71)/9 =: 1(8)₁₂₄1_<126>; = 7 · 11 · 263119 · 316571 · 19255379149_<11> · 1529467574718566843554119565725293935277898216166826648203831157243874118262789763578204870936731497253_<103>

(17·10¹²⁶-71)/9 =: 1(8)₁₂₅1_<127>; = 3 · 59 · 16681433 · 91974867159757573_<17> · 498655794308712510868883323350225242849604727_<45> · 13948572079388102538907460825554348887852216766084441171_<56> (Robert Backstrom / NFSX v1.8)

(17·10¹²⁷-71)/9 =: 1(8)₁₂₆1_<128>; = 11 · 231019 · 89525363 · 6825988027_<10> · 59989272692491_<14> · 202759316130890096888003221543894955345188348597348630848216170978417148123824376732528299_<90>

(17·10¹²⁸-71)/9 =: 1(8)₁₂₇1_<129>; = definitely prime number

(17·10¹²⁹-71)/9 =: 1(8)₁₂₈1_<130>; = 3³ · 11 · 19 · 109 · 563 · 9855840629_<10> · 803527130407998133_<18> · 1230440712050620577055436916049377_<34> · 559766055828770620048527567158628327740943590649443001755309_<60> (Robert Backstrom / GMP-ECM 5.0c)

(17·10¹³⁰-71)/9 =: 1(8)₁₂₉1_<131>; = 239 · 1463762719957688093_<19> · 3760328906562522655655042225989569822978634397_<46> · 14358596644915486520622618516979532504500144385595692027475664999_<65> (Robert Backstrom / NFSX v1.8)

(17·10¹³¹-71)/9 =: 1(8)₁₃₀1_<132>; = 7 · 11 · 241079 · 2980690351_<10> · 97279044194087111051212948383640921693631963327572061261_<56> · 35092971921053161259223857755594735956148743024878870591537_<59> (Robert Backstrom / NFSX v1.8)

(17·10¹³²-71)/9 =: 1(8)₁₃₁1_<133>; = 3 · 61 · 5557 · 231692053253758958587_<21> · 8016850542073207580500060920439015174745069583791830236595957029068014337993761774435880130051724328291873_<106>

(17·10¹³³-71)/9 =: 1(8)₁₃₂1_<134>; = 11 · 15767 · 98449611513388502197_<20> · 20583474364104523906967_<23> · 53744245406036814209796463922552726237923044992033285069108755691910450075604610108887_<86>

(17·10¹³⁴-71)/9 =: 1(8)₁₃₃1_<135>; = 79 · 25763 · 45853 · 161263 · 727877 · 3361415595048403_<16> · 1291260365158731363233472475833767806979645325899_<49> · 3972705478723421636295965310428600164712389919483_<49> (Robert Backstrom / PPSIQS Ver 1.1)

(17·10¹³⁵-71)/9 =: 1(8)₁₃₄1_<136>; = 3 · 11 · 29 · 89308649144457329924402611214457777901130437488163_<50> · 22100441708144961675043265232663104252035613404854169547373213858780993492845684791_<83> (Robert Backstrom / NFSX v1.8)

(17·10¹³⁶-71)/9 =: 1(8)₁₃₅1_<137>; = 241 · 1163 · 1258151 · 2909741971_<10> · 686379678947195688761_<21> · 122584892289542775690610757_<27> · 218786762561744087918791290449719825268313931948215334953312964581971_<69> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000)

(17·10¹³⁷-71)/9 =: 1(8)₁₃₆1_<138>; = 7 · 11² · 239 · 1160363 · 1314143 · 10185093131_<11> · 257539770359_<12> · 702803750281_<12> · 116807003928419996915533_<24> · 55853562865091898579135897461_<29> · 50877464190057760272555425199734329_<35>

(17·10¹³⁸-71)/9 =: 1(8)₁₃₇1_<139>; = 3² · 8306041 · 2255064591324424321539649_<25> · 11204973820429572218028099248761045016447799590150362652798675946315959317372819874449602384505936463220401_<107>

(17·10¹³⁹-71)/9 =: 1(8)₁₃₈1_<140>; = 11 · 149 · 99577 · 450255083 · 257045376203115332020119884017201764138175116214072412055451479525969436176655952447433541448240509850278055209080077354269_<123>

(17·10¹⁴⁰-71)/9 =: 1(8)₁₃₉1_<141>; = 197 · 47255407 · 103652035862097857_<18> · 4666166461726179380801129928968110270436020676303_<49> · 41951801327579378159478866821820484800548073276834673164905690109_<65> (Greg Childers / GGNFS)

(17·10¹⁴¹-71)/9 =: 1(8)₁₄₀1_<142>; = 3 · 11 · 438377 · 473927 · 275507394920736299241146420665578799928676930438670973257916775952979139683096823686522659496258598679062609682379153945005624783_<129>

(17·10¹⁴²-71)/9 =: 1(8)₁₄₁1_<143>; = 122149 · 76873807 · 2011583696166635802062190589930509750927409305210901864016763928510292246763612666696359595601174856512384887206641086750936749267_<130>

(17·10¹⁴³-71)/9 =: 1(8)₁₄₂1_<144>; = 7 · 11 · 599 · 93201247 · 149293787 · 2862998398373089_<16> · 102802648065583481127340056219679392675378566269412775795110886283303089819223521948426904202222739291480407_<108>

(17·10¹⁴⁴-71)/9 =: 1(8)₁₄₃1_<145>; = 3 · 239 · 1427 · 130321412035043_<15> · 3893131414213838113_<19> · 3638718363173898426592891379649937482668390835328596749845707916569847841028202263383803128920547330814301_<106>

(17·10¹⁴⁵-71)/9 =: 1(8)₁₄₄1_<146>; = 11 · 23 · 103 · 724850872592535741543761805475608768137261172297052415245745764952181161552204186226980655009359103913768329133462100958935066153301695724659_<141>

(17·10¹⁴⁶-71)/9 =: 1(8)₁₄₅1_<147>; = 18503 · 22755527 · 61720979 · 78077273741385256946431921_<26> · 9951822350224026205765507779125775380181373_<43> · 9354429447762306957615379784621617996950988628283293890343_<58> (Robert Backstrom / PPSIQS Ver 1.1)

(17·10¹⁴⁷-71)/9 =: 1(8)₁₄₆1_<148>; = 3² · 11 · 19 · 79 · 107 · 2781801353422423656539918239_<28> · 25676953116135086178490153800162757142685512269_<47> · 1663171924588523777382227652703467418748719317652827597186987650887_<67> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000) (Greg Childers / GGNFS)

(17·10¹⁴⁸-71)/9 =: 1(8)₁₄₇1_<149>; = 89 · 5023 · 15919 · 2375458619_<10> · 5125268134967_<13> · 3973937856119887283396521_<25> · 54859559072621213566636568938781967339320138069461900161759552032184628619307830638274939749_<92>

(17·10¹⁴⁹-71)/9 =: 1(8)₁₄₈1_<150>; = 7 · 11 · 7691 · 13217 · 965712449323032769284271_<24> · 26065201846446608037286834417034455349431_<41> · 958718400813354762041944453379027677170164927082107964146975031174556394999_<75> (Robert Backstrom / GMP-ECM 5.0c)

(17·10¹⁵⁰-71)/9 =: 1(8)₁₄₉1_<151>; = 3 · 105402820794387104653536298689177070169650261803766637528304966641861624359_<75> · 5973555782324552106124283562382297323088488515591965666516908145969488005453_<76> (Greg Childers / GGNFS)

(17·10¹⁵¹-71)/9 =: 1(8)₁₅₀1_<152>; = 11 · 239 · 14488426559_<11> · 495900563877101393960208222546885733917603052593759591287572346316298204350920783102489329386695624817032211109730792810103514787386437571_<138>

(17·10¹⁵²-71)/9 =: 1(8)₁₅₁1_<153>; = 169022969 · 1788032748531423785318259953_<28> · 625007482986166255657032845722275457980936538354720291897060772159527714074714556065604804588909744502123848038423433_<117> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1239320586)

(17·10¹⁵³-71)/9 =: 1(8)₁₅₂1_<154>; = 3 · 11 · 458033732131576820267_<21> · 2487441325075200197121778501595359_<34> · 935061187428302940375031505062267678199121469_<45> · 53728180464604315513396648915975156149011893915038001_<53> (Shusuke Kubota / GMP-ECM 6.0.1 B1=1000000, sigma=983314477 for P34, GGNFS-0.77.0 gnfs for P45 x P53 / 16.77 hours on CeleronM 1.50GHz, Windows XP and Cygwin / Feb 9, 2007)

(17·10¹⁵⁴-71)/9 =: 1(8)₁₅₃1_<155>; = 40841052095273448958367_<23> · 462497607672425937288372751676279501473077433609858179697178527667606127887860507458592864717926915483106954680874512068481282807343_<132>

(17·10¹⁵⁵-71)/9 =: 1(8)₁₅₄1_<156>; = 7² · 11 · 2273 · 77509 · 477951899 · 856409645357881_<15> · 27828450109337756621_<20> · 463334366860167086975713144840516592702801361011_<48> · 376891898680072906895465671777956457460775907782569723_<54> (Anton Korobeynikov / GGNFS-0.71.4 / 21.42 hours)

(17·10¹⁵⁶-71)/9 =: 1(8)₁₅₅1_<157>; = 3³ · 1189627 · 681041615787775181267827_<24> · 1913432864166287746218289_<25> · 45127882469640380887931120849637659599335576773455186266757048819578565853765997928957319944570474963_<101>

(17·10¹⁵⁷-71)/9 =: 1(8)₁₅₆1_<158>; = 11 · 67 · 233 · 257 · 100133357531_<12> · 1974898746446825564654925588408067_<34> · 26084785568241325536093167306732883156016781297647_<50> · 82973420930499973861919069602007448123945832667668347767_<56> (Robert Backstrom / GMP-ECM 5.0 B1=379000, sigma=1964807638 for P34, GGNFS-0.77.1-20051202-athlon / 31.74 hours on Cygwin on AMD 64 3400+ / Apr 19, 2007)

(17·10¹⁵⁸-71)/9 =: 1(8)₁₅₇1_<159>; = 47 · 239 · 557 · 3046148953_<10> · 31515879309500237_<17> · 160815156612194113_<18> · 19929262765951023340195939_<26> · 4471053250096044906331280357_<28> · 21945568692107157846002081502727353184117153310937384959_<56> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4075822466 for P28 x C81) (Makoto Kamada / msieve 0.83 / 29 minutes for P26 x P56)

(17·10¹⁵⁹-71)/9 =: 1(8)₁₅₈1_<160>; = 3 · 11² · 6673 · 779791796507734548414084672820691784494353871627280071076646148509696321093675425242254935864188891994295043216749414043802556533643818904639307075174819_<153>

(17·10¹⁶⁰-71)/9 =: 1(8)₁₅₉1_<161>; = 79 · 39327877 · 593412173 · 8360104991228521_<16> · 7182577469468151941_<19> · 170620148744718303190616192434604539299117644415508666383824938061110234231482221167015937391848367766805819_<108>

(17·10¹⁶¹-71)/9 =: 1(8)₁₆₀1_<162>; = 7 · 11 · 523 · 12553 · 892039002817_<12> · 5517382888130356012700422947230695246102802588279510829603153154612691_<70> · 75918829205014441614543498027493064480460216213141344861042989326442621_<71> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.26 / Oct 4, 2007)

(17·10¹⁶²-71)/9 =: 1(8)₁₆₁1_<163>; = 3 · 1439 · 2583124372509618337040968830299059261714173907429069612978604367206603_<70> · 169386598202867977225527166176651263517709056741805060006511940185061380465616968087449231_<90> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 57.94 hours on Cygwin on AMD 64 3200+ / Jun 18, 2007)

(17·10¹⁶³-71)/9 =: 1(8)₁₆₂1_<164>; = 11 · 29 · 20809 · 6713383 · 423860644533428678185423762972910548738022061887392213143290476740206182520758542132046356021950283362433890191604215440315854075642875273311800803217_<150>

(17·10¹⁶⁴-71)/9 =: 1(8)₁₆₃1_<165>; = 216583463554531_<15> · 5393696868579157005523711065632147602089029_<43> · 38447484784957009504048982784105217220178467777_<47> · 4205587262171089272039659014159109528298565349557528731191647_<61> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 96.76 hours on Cygwin on AMD 64 3400+ / Aug 20, 2007)

(17·10¹⁶⁵-71)/9 =: 1(8)₁₆₄1_<166>; = 3² · 11 · 19 · 239 · 2301857 · 1104452615085621808528281839929327507501092871162291_<52> · 1652700990864867075451213479344319367803780935121458431710865579015107058129083254411956069524400585357_<103> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.29 / Nov 11, 2007)

(17·10¹⁶⁶-71)/9 =: 1(8)₁₆₅1_<167>; = 241 · 829 · 6397 · 185917516258239178921_<21> · 11287051438658699299143517231_<29> · 7042999782550107442473856793722001489061020464152685802074161410436300456375341994080194974923341609998499007_<109> (Robert Backstrom / GMP-ECM 6.0.1 B1=310000, sigma=3285997714 for P29 / Feb 8, 2008)

(17·10¹⁶⁷-71)/9 =: 1(8)₁₆₆1_<168>; = 7 · 11 · 23 · 16349 · 41403331 · 157565587942701080838044280391574214060140496890867424306293836369609303127965083749300421643544255005352648839081261503458445447597864847177428327034469_<153>

(17·10¹⁶⁸-71)/9 =: 1(8)₁₆₇1_<169>; = 3 · 95819 · 442919 · 14835739958942219013826039138983626641422882690635159900706748265582337866426051990790522390159351342365093361125543261563764084094178719687745360274154840007_<158>

(17·10¹⁶⁹-71)/9 =: 1(8)₁₆₈1_<170>; = 11 · 2026004689_<10> · 114398123377_<12> · 821922604697056855387_<21> · 9014122499808079013411523752456316387245234049535405539572801862046229777840089113033020166588911099591521891066430917579817161_<127>

(17·10¹⁷⁰-71)/9 =: 1(8)₁₆₉1_<171>; = 4723 · 5701 · 30399926369_<11> · 50415897960301_<14> · 4577173625655968000858436950766681011898189414935236734216303697763494405542082038965167583246935592601373065469286873476688415226089965963_<139>

(17·10¹⁷¹-71)/9 =: 1(8)₁₇₀1_<172>; = 3 · 11 · 57239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057239057_<170>

(17·10¹⁷²-71)/9 =: 1(8)₁₇₁1_<173>; = 239 · 2711 · 223645141 · 5353902724127_<13> · 5960520962198910431_<19> · 4084743878746873512012309475725452357520173308874935090736005276030918871078062473219620219159781449366873406001435159149984917_<127>

(17·10¹⁷³-71)/9 =: 1(8)₁₇₂1_<174>; = 7 · 11 · 79 · 14089307 · 92644999522068731671_<20> · 23789043460881588933813283702355184092776186256647691816254590662130228703195636276301682721415780538542230095369032193755448555289435228338631_<143>

(17·10¹⁷⁴-71)/9 =: 1(8)₁₇₃1_<175>; = 3² · 143743 · 4272954837788307543647_<22> · [341703081459662571210207609198015494320625314471004417601558825634197276156855326491008904198891745849699955529129213004102951121648105989712336329_<147>] SUBMIT/RESERVE

(17·10¹⁷⁵-71)/9 =: 1(8)₁₇₄1_<176>; = 11 · 547 · 2803 · 1507907 · 9033746039_<10> · 82216856547846888742451644242111841995659234461494780014685407193926168077625876708747876270521063723128706209957939035385612806291498096798221748614447_<152>

(17·10¹⁷⁶-71)/9 =: 1(8)₁₇₅1_<177>; = 593 · 6047 · 38839 · 1519230508857603539_<19> · 892729810659861345015328826964290526887614197186543067094441700155766671446239156365738437002211385271927183132531221983624657821093593685653708291_<147>

(17·10¹⁷⁷-71)/9 =: 1(8)₁₇₆1_<178>; = 3 · 11 · 4189099 · 256993313 · 438232439897078623_<18> · 6021286181012160102180359029_<28> · 20149126950720399739532151302428650906960988498103629868525713311624893048125358720378765004850597892459620751730233_<116>

(17·10¹⁷⁸-71)/9 =: 1(8)₁₇₇1_<179>; = 8745622094101_<13> · 125828027888131_<15> · 1494291538223492506633_<22> · 11486903633362365596486072578669449912157401891058003827036565112959199874555966816435826760398283348457368356250563038837264997847_<131>

(17·10¹⁷⁹-71)/9 =: 1(8)₁₇₈1_<180>; = 7 · 11 · 103 · 239 · 9930637 · 14023579 · 1231364489_<10> · 684907717263391040869653253_<27> · 1187282062146192125179089986736275870419_<40> · 375284494633543979200133045260994522261009_<42> · 1904194805934835770754653293450160027271669_<43> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=940742712 for P27) (Robert Backstrom / GMP-ECM 6.0 B1=4070000, sigma=3789333963 for P40, Msieve v. 1.34 for P42 x P43 / May 1, 2008)

(17·10¹⁸⁰-71)/9 =: 1(8)₁₇₉1_<181>; = 3 · 1373 · 22608072733_<11> · 37762571569959013_<17> · [537142500938193153830119950525039044025589396743751804504900908239708533889216571433041254570593410177855119728930729387840711597398876262059579123431_<150>] SUBMIT/RESERVE

(17·10¹⁸¹-71)/9 =: 1(8)₁₈₀1_<182>; = 11² · 71707 · 380621 · 49904965969_<11> · [114610122988601229416499973255968144630517735562976939767924432122030779487289851227128851042958570270931230626059758947564460527211050622357115020062331878327_<159>] SUBMIT/RESERVE

(17·10¹⁸²-71)/9 =: 1(8)₁₈₁1_<183>; = 167 · 181 · 1521991 · 1814069 · 2873947 · [787529307668421122439014520570164352831255131567007700212975660002754793340376818037408278846437485428921046607086940008738341650084451258951568173996679725131_<159>] SUBMIT/RESERVE

(17·10¹⁸³-71)/9 =: 1(8)₁₈₂1_<184>; = 3⁴ · 11 · 19 · 404051 · 1262581 · 8226908102544685947546600578514601_<34> · [26585389367622980285597634026808282856915211378205220420001757511984116964702632958717990400249729741198964996462743818335851565740519_<134>] (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4112143251 for P34) SUBMIT/RESERVE

(17·10¹⁸⁴-71)/9 =: 1(8)₁₈₃1_<185>; = 59 · 40849101809_<11> · [7837397762884798639603015665228822925481290494728769244088326364843557801668107684404758839648552377441440255861301236708095261147870681596040047793073609565801883866697651_<172>] SUBMIT/RESERVE

(17·10¹⁸⁵-71)/9 =: 1(8)₁₈₄1_<186>; = 7 · 11 · 2069 · 19338599789_<11> · 165320642059357_<15> · 5171719245506771332163_<22> · [71708088612194997332336900547183617885480749918141214435902860743857761116677402192318925173519942056669706532487857050195749333232963_<134>] SUBMIT/RESERVE

(17·10¹⁸⁶-71)/9 =: 1(8)₁₈₅1_<187>; = 3 · 79 · 239 · 631 · 2297 · 23581 · 290701 · [3356302268953847380249458481076437052201490325047888347122340327280030387017315192674034341101020207498522050977305988170429153156442471587816157897934274706796009901_<166>] SUBMIT/RESERVE

(17·10¹⁸⁷-71)/9 =: 1(8)₁₈₆1_<188>; = 11 · 38049998170671837090688817_<26> · 500583471801384822334086674083_<30> · 90153497646641310326944319538203642791563401319391629531885316013320146569086840682444563959288491745885439016303429741998231221761_<131> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4182934503)

(17·10¹⁸⁸-71)/9 =: 1(8)₁₈₇1_<189>; = 46281797 · 6703837968824142319548566209_<28> · 18284711636540291744488699704039629_<35> · 6046424374440345331609702538553541573262983367_<46> · 5506630666650624530936151410813003802749830770712958032362796387418558279_<73> (Robert Backstrom / GMP-ECM 6.0 B1=122000, sigma=2661515564 for P28, GMP-ECM 6.0 B1=1746000, sigma=4178575634 for P35, GGNFS-0.77.1-20051202-athlon gnfs for P46 x P73 / 25.37 hours on Cygwin on AMD 64 X2 6000+ / Mar 7, 2008)

(17·10¹⁸⁹-71)/9 =: 1(8)₁₈₈1_<190>; = 3 · 11 · 23 · 619 · 739 · 5279210203_<10> · 13409604493_<11> · 107675266350465140830705193009_<30> · [713721320572161835952425940821028245908329503806862456004886005577420054467244827323363096684513978748912648200246868295107834390009_<132>] (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=1448624200 for P30) SUBMIT/RESERVE

(17·10¹⁹⁰-71)/9 =: 1(8)₁₈₉1_<191>; = 67 · 6724305468719_<13> · 21867222353024700925161620939_<29> · 1917302127035441296944030238126731388340273255071672437872280220046632296607528307177379041324564506892369362356352287227657496387632276376340741823_<148>

(17·10¹⁹¹-71)/9 =: 1(8)₁₉₀1_<192>; = 7 · 11 · 29 · 293 · 9305736371453772117405773_<25> · [31024109427191595975910326818045676473418478141072950495723050957626474082764752530612306344380417404415561432313929329330562559629382613055557718363191312153113_<161>] SUBMIT/RESERVE

(17·10¹⁹²-71)/9 =: 1(8)₁₉₁1_<193>; = 3² · 61 · 89 · 1982348670399276182174543_<25> · [19501320369636599056543809880564149869970974578467123656307870070729671694675354965246816737415936856321936497869519898616612422923911112663806853487508720634939147_<164>] SUBMIT/RESERVE

(17·10¹⁹³-71)/9 =: 1(8)₁₉₂1_<194>; = 11 · 239 · 42509 · 2743602737_<10> · 92013106361783_<14> · 1226618192728483238346292651289_<31> · [545826498093011871441688642479259504041283061123554586469819861859389894946467489199080893852931993824875963703801740289530014752159_<132>] (Makoto Kamada / GMP-ECM 5.0.3 B1=78210, sigma=3973126487 for P31) SUBMIT/RESERVE

(17·10¹⁹⁴-71)/9 =: 1(8)₁₉₃1_<195>; = 5147 · 84407 · 43056693181_<11> · 10097947456759266519242429494090117469855110081391142582356140635217076000846114105782915248785485578633417207782518472602915807982994626878969766005546264800906719495453420569_<176>

(17·10¹⁹⁵-71)/9 =: 1(8)₁₉₄1_<196>; = 3 · 11 · 62119 · 1006151 · 1170203 · [782606851939720869977133831016188331780612331491037832075619133234440740615806662729410282802784105557296510467540853818502800692100974611425129106487091576591760773879063764051_<177>] SUBMIT/RESERVE

(17·10¹⁹⁶-71)/9 =: 1(8)₁₉₅1_<197>; = 241 · 379 · 1153177537_<10> · 59363240112353899_<17> · 352750393775327194963_<21> · 8563846629578051416229887633288589681072331503227699696198502366277127707165251920622473140487036993246808280929534389132757172303828349433101091_<145>

(17·10¹⁹⁷-71)/9 =: 1(8)₁₉₆1_<198>; = 7² · 11 · 154740857 · 6484318817072200664220252344377_<31> · [349259549226120898816318561825819172354659038159561997366757349200839837492502651538230943161399611740470482506153445896948591808813671085174887996739488211_<156>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1746000186 for P31 / Nov 5, 2008) SUBMIT/RESERVE

(17·10¹⁹⁸-71)/9 =: 1(8)₁₉₇1_<199>; = 3 · 97 · 46477 · 13463511037_<11> · [10373301595088653896763173837014386989913069334492802029036788008646674371377345018744718958716260487887697720956176048386206910635538052895958335930105974325958935097540961518595859_<182>] SUBMIT/RESERVE

(17·10¹⁹⁹-71)/9 =: 1(8)₁₉₈1_<200>; = 11 · 79 · 179 · 311 · 1301 · 61294016280989_<14> · [4896410713995004646799919398518436600214093480106690218808583614877370631061721428493686817927771886140179826256964070742697531754534378271559976496047475799855811421933498089_<175>] SUBMIT/RESERVE

(17·10²⁰⁰-71)/9 =: 1(8)₁₉₉1_<201>; = 107 · 113 · 239 · 2626049 · 98761234267_<11> · [252032736858901598369572938055604239655681900032705823012115878194249942017784031194667050829676723063871760780542632320419430168638628646761913645894385192776273097184856533143_<177>] SUBMIT/RESERVE

4. References

Plateau and Depression Primes (Patrick De Geest)