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Factorizations of 788...883

About 788...883
- First ten terms
- General term
Prime numbers of the form 788...883
Factorizations of 788...883
References

1. About 788...883

First ten terms

73, 783, 7883, 78883, 788883, 7888883, 78888883, 788888883, 7888888883, 78888888883

General term

(71·10ⁿ-53)/9

2. Prime numbers of the form 788...883

Last update

Sep 15, 2010

Searched up to

n≤30000

Difficulty of search

16.28%

Results

(71·10¹-53)/9 = 73 is prime. (Makoto Kamada / Dec 6, 2004)
(71·10³-53)/9 = 7883 is prime. (Makoto Kamada / Dec 6, 2004)
(71·10⁶-53)/9 = 7888883 is prime. (Makoto Kamada / Dec 6, 2004)
(71·10⁶⁰-53)/9 = 7(8)₅₉3_<61> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
(71·10²⁸⁸-53)/9 = 7(8)₂₈₇3_<289> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 7, 2005)
(71·10¹³¹⁴-53)/9 = 7(8)₁₃₁₃3_<1315> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 10, 2006)
(71·10¹⁷²⁸-53)/9 = 7(8)₁₇₂₇3_<1729> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 25, 2006)
(71·10²⁴⁹³-53)/9 = 7(8)₂₄₉₂3_<2494> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
(71·10¹³⁸⁹³-53)/9 = 7(8)₁₃₈₉₂3_<13894> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(71·10¹³⁹⁴⁴-53)/9 = 7(8)₁₃₉₄₃3_<13945> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)
(71·10¹⁷¹⁰⁰-53)/9 = 7(8)₁₇₀₉₉3_<17101> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)

History

Searched up to n≤30000 by Ray Chandler, September 15, 2010

3. Factorizations of 788...883

Last update

Apr 16, 2012

Completed up to

n≤100 / Jan 7, 2005
n≤150 / Dec 26, 2009

Range

n≤200

Terms which have not been factored yet

n=176, 177, 183, 186, 194, 198, 200 (7/200)

Results

(71·10¹-53)/9 =: 73; = definitely prime number

(71·10²-53)/9 =: 783; = 3³ · 29

(71·10³-53)/9 =: 7883; = definitely prime number

(71·10⁴-53)/9 =: 78883; = 7 · 59 · 191

(71·10⁵-53)/9 =: 788883; = 3 · 439 · 599

(71·10⁶-53)/9 =: 7888883; = definitely prime number

(71·10⁷-53)/9 =: 78888883; = 5717 · 13799

(71·10⁸-53)/9 =: 788888883; = 3 · 619 · 424819

(71·10⁹-53)/9 =: 7888888883_<10>; = 73 · 108066971

(71·10¹⁰-53)/9 =: 78888888883_<11>; = 7 · 7187 · 1568087

(71·10¹¹-53)/9 =: 788888888883_<12>; = 3² · 87654320987_<11>

(71·10¹²-53)/9 =: 7888888888883_<13>; = 103 · 78539 · 975199

(71·10¹³-53)/9 =: 78888888888883_<14>; = 23 · 40471 · 84750851

(71·10¹⁴-53)/9 =: 788888888888883_<15>; = 3 · 19 · 13840155945419_<14>

(71·10¹⁵-53)/9 =: 7888888888888883_<16>; = 17 · 3801377 · 122074787

(71·10¹⁶-53)/9 =: 78888888888888883_<17>; = 7 · 11269841269841269_<17>

(71·10¹⁷-53)/9 =: 788888888888888883_<18>; = 3 · 73 · 3602232369355657_<16>

(71·10¹⁸-53)/9 =: 7888888888888888883_<19>; = 457 · 499 · 46723 · 740403347

(71·10¹⁹-53)/9 =: 78888888888888888883_<20>; = 402416101 · 196038102583_<12>

(71·10²⁰-53)/9 =: 788888888888888888883_<21>; = 3² · 87654320987654320987_<20>

(71·10²¹-53)/9 =: 7888888888888888888883_<22>; = 5126123 · 1538958173436121_<16>

(71·10²²-53)/9 =: 78888888888888888888883_<23>; = 7 · 27352524349_<11> · 412021981081_<12>

(71·10²³-53)/9 =: 788888888888888888888883_<24>; = 3 · 262962962962962962962961_<24>

(71·10²⁴-53)/9 =: 7888888888888888888888883_<25>; = 61297 · 4130714659_<10> · 31156697921_<11>

(71·10²⁵-53)/9 =: 78888888888888888888888883_<26>; = 73 · 173 · 433 · 673 · 769 · 53617 · 519894311

(71·10²⁶-53)/9 =: 788888888888888888888888883_<27>; = 3 · 607 · 433217401915919214107023_<24>

(71·10²⁷-53)/9 =: 7888888888888888888888888883_<28>; = 88609 · 89030334265016972191187_<23>

(71·10²⁸-53)/9 =: 78888888888888888888888888883_<29>; = 7² · 1609977324263038548752834467_<28>

(71·10²⁹-53)/9 =: 788888888888888888888888888883_<30>; = 3³ · 741563 · 39400707688874409406283_<23>

(71·10³⁰-53)/9 =: 7888888888888888888888888888883_<31>; = 29 · 4973 · 20639 · 3575011513_<10> · 741367060957_<12>

(71·10³¹-53)/9 =: 78888888888888888888888888888883_<32>; = 17 · 70501 · 65822085868526594857552199_<26>

(71·10³²-53)/9 =: 788888888888888888888888888888883_<33>; = 3 · 19 · 47 · 421 · 137558021 · 1078486021_<10> · 4714770857_<10>

(71·10³³-53)/9 =: 7888888888888888888888888888888883_<34>; = 73 · 97229551 · 249414002141_<12> · 4456294333081_<13>

(71·10³⁴-53)/9 =: 78888888888888888888888888888888883_<35>; = 7 · 1554014939947507_<16> · 7252080388765086967_<19>

(71·10³⁵-53)/9 =: 788888888888888888888888888888888883_<36>; = 3 · 23 · 22699 · 503686166912089525037423527493_<30>

(71·10³⁶-53)/9 =: 7888888888888888888888888888888888883_<37>; = 89 · 953 · 1048942459_<10> · 1061832787_<10> · 83507433360803_<14>

(71·10³⁷-53)/9 =: 78888888888888888888888888888888888883_<38>; = 794249 · 483093217 · 205602420356466274555451_<24>

(71·10³⁸-53)/9 =: 788888888888888888888888888888888888883_<39>; = 3² · 167 · 524876173578768389147630664596732461_<36>

(71·10³⁹-53)/9 =: 7888888888888888888888888888888888888883_<40>; = 83² · 149 · 1291 · 7643 · 58567 · 13299346636677874958993_<23>

(71·10⁴⁰-53)/9 =: 78888888888888888888888888888888888888883_<41>; = 7 · 409 · 363473554841153_<15> · 75809157955613315167997_<23>

(71·10⁴¹-53)/9 =: 788888888888888888888888888888888888888883_<42>; = 3 · 73 · 113 · 151 · 211113659342182325903411100171855439_<36>

(71·10⁴²-53)/9 =: 7888888888888888888888888888888888888888883_<43>; = 803989 · 4994932897_<10> · 1964427812240252486414311751_<28>

(71·10⁴³-53)/9 =: 78888888888888888888888888888888888888888883_<44>; = 1973 · 7243 · 2896151720310601_<16> · 1906114387166315003597_<22>

(71·10⁴⁴-53)/9 =: 788888888888888888888888888888888888888888883_<45>; = 3 · 9661 · 391249 · 26267849 · 2648468127231186733319641901_<28>

(71·10⁴⁵-53)/9 =: 7888888888888888888888888888888888888888888883_<46>; = 1129 · 8963 · 92311 · 108140765526697_<15> · 78095427325186339687_<20>

(71·10⁴⁶-53)/9 =: 78888888888888888888888888888888888888888888883_<47>; = 7 · 103 · 2739281003891_<13> · 66073224839737_<14> · 604530872848958969_<18>

(71·10⁴⁷-53)/9 =: 788888888888888888888888888888888888888888888883_<48>; = 3² · 17 · 233 · 4042531277_<10> · 6444170741_<10> · 849470027637337029980131_<24>

(71·10⁴⁸-53)/9 =: 7888888888888888888888888888888888888888888888883_<49>; = 1936756725893704373_<19> · 4073247188672397698302770060871_<31>

(71·10⁴⁹-53)/9 =: 78888888888888888888888888888888888888888888888883_<50>; = 73 · 250499 · 4314067963571499718829101436212163747947529_<43>

(71·10⁵⁰-53)/9 =: 788888888888888888888888888888888888888888888888883_<51>; = 3 · 19 · 61 · 701 · 65239 · 414269 · 11975768692815442346576601885707369_<35>

(71·10⁵¹-53)/9 =: 7(8)₅₀3_<52>; = 6779 · 1163724574257101178476012522332038484863385291177_<49>

(71·10⁵²-53)/9 =: 7(8)₅₁3_<53>; = 7 · 193 · 227 · 11095199 · 114794921406755449201_<21> · 201965347909506567721_<21>

(71·10⁵³-53)/9 =: 7(8)₅₂3_<54>; = 3 · 4007 · 321619 · 276192403 · 30845280619_<11> · 23951520605415565535762381_<26>

(71·10⁵⁴-53)/9 =: 7(8)₅₃3_<55>; = 324456850125972484049_<21> · 24314138800971458690480228182262467_<35>

(71·10⁵⁵-53)/9 =: 7(8)₅₄3_<56>; = 109 · 923137 · 71808303744649_<14> · 197875574597237_<15> · 55176776680503208427_<20>

(71·10⁵⁶-53)/9 =: 7(8)₅₅3_<57>; = 3⁵ · 401 · 2713 · 2833 · 71537 · 14724416762811657441476600693852035015897_<41>

(71·10⁵⁷-53)/9 =: 7(8)₅₆3_<58>; = 23 · 73 · 1275053447_<10> · 3684993731897356190717191033168308149998290491_<46>

(71·10⁵⁸-53)/9 =: 7(8)₅₇3_<59>; = 7 · 29 · 191413 · 2030244634384410139200692287112929821411589576004597_<52>

(71·10⁵⁹-53)/9 =: 7(8)₅₈3_<60>; = 3 · 347 · 1217 · 7233526871_<10> · 47987365541_<11> · 1793897085072918516416629023234449_<34>

(71·10⁶⁰-53)/9 =: 7(8)₅₉3_<61>; = definitely prime number

(71·10⁶¹-53)/9 =: 7(8)₆₀3_<62>; = 7561 · 97491861573409502385862399_<26> · 107020811080260748405016889538597_<33>

(71·10⁶²-53)/9 =: 7(8)₆₁3_<63>; = 3 · 59 · 2851 · 482855159 · 3237639423711766779892581683193185599137396901831_<49>

(71·10⁶³-53)/9 =: 7(8)₆₂3_<64>; = 17 · 131 · 16035908922967_<14> · 670387648035011_<15> · 329515643711270374026374972930317_<33>

(71·10⁶⁴-53)/9 =: 7(8)₆₃3_<65>; = 7 · 163 · 181 · 8046640215418713649635036997_<28> · 47471946177305089906484007137359_<32>

(71·10⁶⁵-53)/9 =: 7(8)₆₄3_<66>; = 3² · 73 · 307 · 10644899 · 15761323 · 294104996686187_<15> · 6879637256293453_<16> · 11521524220648511_<17>

(71·10⁶⁶-53)/9 =: 7(8)₆₅3_<67>; = 313420260427153431973_<21> · 25170322040244939639615573978149551256648295671_<47>

(71·10⁶⁷-53)/9 =: 7(8)₆₆3_<68>; = 1825433063_<10> · 43216533373861043563715099033948465788739189112018888029141_<59>

(71·10⁶⁸-53)/9 =: 7(8)₆₇3_<69>; = 3 · 19 · 173 · 1489 · 441388859 · 2392381088641281235387_<22> · 50880158432416738260438194665919_<32>

(71·10⁶⁹-53)/9 =: 7(8)₆₈3_<70>; = 1304915169097_<13> · 6045518571408739281397870836302076443842448331471707645339_<58>

(71·10⁷⁰-53)/9 =: 7(8)₆₉3_<71>; = 7² · 1609977324263038548752834467120181405895691609977324263038548752834467_<70>

(71·10⁷¹-53)/9 =: 7(8)₇₀3_<72>; = 3 · 14159699 · 18571225487417703085564386853347868691485812160481869209434675339_<65>

(71·10⁷²-53)/9 =: 7(8)₇₁3_<73>; = 537224491 · 14684529504982841314449472648649014940178683865864352205954975513_<65>

(71·10⁷³-53)/9 =: 7(8)₇₂3_<74>; = 73 · 617 · 533894457988996296102269_<24> · 3280593366314463113099788302313368109468504927_<46>

(71·10⁷⁴-53)/9 =: 7(8)₇₃3_<75>; = 3² · 229 · 164531 · 322649 · 48475491399551114989_<20> · 148743352768186602173279794219528886190433_<42>

(71·10⁷⁵-53)/9 =: 7(8)₇₄3_<76>; = 15733922798311_<14> · 501393644167094982434203396130827489820520570953592586155914453_<63>

(71·10⁷⁶-53)/9 =: 7(8)₇₅3_<77>; = 7 · 179 · 194891 · 103620997 · 46206240964493_<14> · 4725587521956703_<16> · 14278045710389109600452570051867_<32>

(71·10⁷⁷-53)/9 =: 7(8)₇₆3_<78>; = 3 · 12143 · 143569 · 13754911 · 10966047670408472141602705194333537119761226595124300971302353_<62>

(71·10⁷⁸-53)/9 =: 7(8)₇₇3_<79>; = 47 · 362531858218741_<15> · 8165052876694508776989181_<25> · 56703883381645309860007103714259198109_<38>

(71·10⁷⁹-53)/9 =: 7(8)₇₈3_<80>; = 17 · 23² · 293 · 794509 · 37682942215008931892135074754326219168584130679872422137044234429363_<68>

(71·10⁸⁰-53)/9 =: 7(8)₇₉3_<81>; = 3 · 83 · 89 · 103 · 1637 · 10883 · 16529 · 115742489 · 2701272901_<10> · 43813509081992161_<17> · 85679328778432199564042370391_<29>

(71·10⁸¹-53)/9 =: 7(8)₈₀3_<82>; = 73 · 23369 · 51151 · 90406305515081432808336758173854080588002365776136196375743173782562509_<71>

(71·10⁸²-53)/9 =: 7(8)₈₁3_<83>; = 7 · 2647 · 2696590037689_<13> · 1578879304765717167812204155931147563381259752721614320833575795243_<67>

(71·10⁸³-53)/9 =: 7(8)₈₂3_<84>; = 3³ · 266891 · 419343875800380067_<18> · 261064512996407877717199820823791166164984487362742216278857_<60>

(71·10⁸⁴-53)/9 =: 7(8)₈₃3_<85>; = 48438421 · 1531954260792897367_<19> · 106311455209622110396407908759263208048909991308961226078769_<60>

(71·10⁸⁵-53)/9 =: 7(8)₈₄3_<86>; = 97 · 236115971761_<12> · 7866336755073949133_<19> · 437871022352979486087770921163017181651497987767589903_<54>

(71·10⁸⁶-53)/9 =: 7(8)₈₅3_<87>; = 3 · 19 · 29 · 1747 · 8107980031821999835186657_<25> · 33692823760512818972181214113607470590721804345539694109_<56>

(71·10⁸⁷-53)/9 =: 7(8)₈₆3_<88>; = 29569 · 239144043851461229726543491693319_<33> · 1115628584669577777387862231772195162159213614596853_<52> (Makoto Kamada / GGNFS-0.70.3 / 0.20 hours)

(71·10⁸⁸-53)/9 =: 7(8)₈₇3_<89>; = 7 · 11269841269841269841269841269841269841269841269841269841269841269841269841269841269841269_<89>

(71·10⁸⁹-53)/9 =: 7(8)₈₈3_<90>; = 3 · 73 · 4133 · 393605191069176604241_<21> · 2214346100177818168840921071256426600093037415033131408173240069_<64>

(71·10⁹⁰-53)/9 =: 7(8)₈₉3_<91>; = 419 · 438211 · 677781193 · 3069286741_<10> · 20653400373350278617903853427151256108253616475522796198272376599_<65>

(71·10⁹¹-53)/9 =: 7(8)₉₀3_<92>; = 6089 · 10247 · 75575993323_<11> · 130160940004216905662036450239_<30> · 128531207825325417373843039084768963495089433_<45> (Makoto Kamada / msieve 0.83)

(71·10⁹²-53)/9 =: 7(8)₉₁3_<93>; = 3² · 90397 · 82394454851_<11> · 1643319794418761353_<19> · 7161421584002448440374397431401453638918264887525524389557_<58>

(71·10⁹³-53)/9 =: 7(8)₉₂3_<94>; = 21011513 · 67019837 · 1228770843268804553_<19> · 59826646484963034729354433_<26> · 76206074049950997679268411452530607_<35>

(71·10⁹⁴-53)/9 =: 7(8)₉₃3_<95>; = 7 · 11213 · 1005069229451642721953967829291114763334508273418466943839279521077434213972160997934653513_<91>

(71·10⁹⁵-53)/9 =: 7(8)₉₄3_<96>; = 3 · 17 · 1163 · 74747 · 1175617 · 669854450171_<12> · 8659443584653_<13> · 1604953551347700694039_<22> · 16258235945681196518456461595099537_<35>

(71·10⁹⁶-53)/9 =: 7(8)₉₅3_<97>; = 15493 · 1255559 · 3989562827_<10> · 101652457939590160704983830509437106024659154665928938458722120235294202849267_<78>

(71·10⁹⁷-53)/9 =: 7(8)₉₆3_<98>; = 73 · 520552803688777_<15> · 492789105511202561202598111_<27> · 4212763619193651848092838192444280221117308460291752093_<55>

(71·10⁹⁸-53)/9 =: 7(8)₉₇3_<99>; = 3 · 214684699 · 2818685199685414171954694448349178786411_<40> · 434557166954572548941364634455272738941803072794249_<51> (Makoto Kamada / GGNFS-0.71.4 / 0.39 hours)

(71·10⁹⁹-53)/9 =: 7(8)₉₈3_<100>; = 191 · 1399 · 199883891 · 147702199481403441820901026222957657263733663282915977746228959528619080557081995465657_<87>

(71·10¹⁰⁰-53)/9 =: 7(8)₉₉3_<101>; = 7 · 331 · 14821971463573_<14> · 2297120791586324236880387607934892114434587736386197750902221535885105002368934194563_<85>

(71·10¹⁰¹-53)/9 =: 7(8)₁₀₀3_<102>; = 3² · 23 · 22461221305363627_<17> · 183045206596934507339_<21> · 926944573700999355976911774818416419906017373509910859507129573_<63>

(71·10¹⁰²-53)/9 =: 7(8)₁₀₁3_<103>; = 70844568918754187799073067693869_<32> · 111354885904323972056732251864761215138728152912876090552311636191082207_<72> (Dmitry Domanov / GGNFS/msieve snfs / 0.34 hours / Dec 18, 2009)

(71·10¹⁰³-53)/9 =: 7(8)₁₀₂3_<104>; = 1483 · 618349 · 2264627 · 19308677649971329_<17> · 1967396128072644511387451462484312026445253315693033457411849257733919503_<73>

(71·10¹⁰⁴-53)/9 =: 7(8)₁₀₃3_<105>; = 3 · 19 · 337 · 2016962219_<10> · 13789104793_<11> · 1476648903954255442832515161749908038363156164563929798778440925956083567909519161_<82>

(71·10¹⁰⁵-53)/9 =: 7(8)₁₀₄3_<106>; = 73 · 1669 · 9657456350291_<13> · 1903442931920190137_<19> · 3522362331084641361730219851673797049240732779203360505304150495970477_<70>

(71·10¹⁰⁶-53)/9 =: 7(8)₁₀₅3_<107>; = 7 · 395216035203671863_<18> · 53297442354068332478494079591206476081077_<41> · 535028447019444715581687239232391799724047883719_<48> (Erik Branger / Msieve for P41 x P48 / 1.85 hours / Dec 18, 2009)

(71·10¹⁰⁷-53)/9 =: 7(8)₁₀₆3_<108>; = 3 · 223 · 163897287039883483_<18> · 743806803599515816776555199057883_<33> · 9672924770641267796433119614699233230103485592321137063_<55> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1703807533 for P33 / Dec 16, 2009)

(71·10¹⁰⁸-53)/9 =: 7(8)₁₀₇3_<109>; = 4243 · 8837 · 666613000945379261_<18> · 315619751146817341691913878291674979532410042604589177117575642605751866003490189233_<84>

(71·10¹⁰⁹-53)/9 =: 7(8)₁₀₈3_<110>; = 300413 · 726693805550334577_<18> · 3403730977968294157703086319_<28> · 106167216589032901164178597166465020728680824603754384330257_<60>

(71·10¹¹⁰-53)/9 =: 7(8)₁₀₉3_<111>; = 3³ · 61 · 366298147 · 2570860527398123_<16> · 197159030095461149433997_<24> · 2579837368624902224566991818290686706352653780451073734412177_<61>

(71·10¹¹¹-53)/9 =: 7(8)₁₁₀3_<112>; = 17 · 173 · 751 · 11443 · 16591891 · 57339673 · 328087649355697974299928569090828022973928714589488721613362100515601723691554483901537_<87>

(71·10¹¹²-53)/9 =: 7(8)₁₁₁3_<113>; = 7² · 96853717 · 47211579907345209783386536065091_<32> · 352091007064452232705688454932089110461872691511398725150686552297151261_<72> (Dmitry Domanov / GGNFS/msieve snfs / 1.16 hours / Dec 18, 2009)

(71·10¹¹³-53)/9 =: 7(8)₁₁₂3_<114>; = 3 · 73 · 1523663687869447300643362653469_<31> · 6144217118676687794944188541884967_<34> · 384783156464136635546078306010767964753420957659_<48> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4230677332 for P31, B1=1e6, sigma=1190168981 for P34 / Dec 16, 2009)

(71·10¹¹⁴-53)/9 =: 7(8)₁₁₃3_<115>; = 29 · 103 · 56519698895229316188490043104959016857411842457689633_<53> · 46728385615779825473711854488768379726422437915981202391673_<59> (Dmitry Domanov / GGNFS/msieve snfs / 1.53 hours / Dec 18, 2009)

(71·10¹¹⁵-53)/9 =: 7(8)₁₁₄3_<116>; = 4031690359_<10> · 19567199329379076675488532696835731597633063389947920573651595967935514982560417628760881953655233295878437_<107>

(71·10¹¹⁶-53)/9 =: 7(8)₁₁₅3_<117>; = 3 · 151 · 37989251 · 2777772685770280987_<19> · 6684344437352223618523678123_<28> · 94449309961124165778536092493_<29> · 26139820031883932283033386675977_<32>

(71·10¹¹⁷-53)/9 =: 7(8)₁₁₆3_<118>; = 2341 · 54773 · 60533682573218171561_<20> · 4704278905960870672702840636154862664420573_<43> · 216051725822903176121266690809152805746919124127_<48> (Dmitry Domanov / YAFU v1.14, Msieve 1.38 for P43 x P48 / Dec 18, 2009)

(71·10¹¹⁸-53)/9 =: 7(8)₁₁₇3_<119>; = 7 · 666979 · 11069766594180733_<17> · 210287921172948463101795539_<27> · 7258599715621747102953794011828771321196371196467391437533924266210753_<70>

(71·10¹¹⁹-53)/9 =: 7(8)₁₁₈3_<120>; = 3² · 16504922401512049177_<20> · 5310798733571999837657166831810167630443634173148853083444701453691042366221005484129856741723504531_<100>

(71·10¹²⁰-53)/9 =: 7(8)₁₁₉3_<121>; = 59 · 2214181774753291992262900298930816059454662351_<46> · 60387987423709368360648898963089341431741881661843328297994020494593986887_<74> (Dmitry Domanov / GGNFS/msieve snfs / 1.30 hours / Dec 18, 2009)

(71·10¹²¹-53)/9 =: 7(8)₁₂₀3_<122>; = 73 · 83 · 635363 · 3100375569266222976004203131079653569034995145663653_<52> · 6609653005401652853305308565447112625996842016862736480888983_<61> (Dmitry Domanov / GGNFS/msieve snfs / 1.87 hours / Dec 18, 2009)

(71·10¹²²-53)/9 =: 7(8)₁₂₁3_<123>; = 3 · 19 · 3221 · 42793 · 2017549 · 4348885752919_<13> · 2494350275351804213_<19> · 96840828983651596309_<20> · 2239682598740098376339821_<25> · 21153051201958780297568908275569_<32>

(71·10¹²³-53)/9 =: 7(8)₁₂₂3_<124>; = 23 · 466388603318521716839230373_<27> · 735427852742524803072421136967663843823721422698674575387335067769437612540147634144714263967777_<96>

(71·10¹²⁴-53)/9 =: 7(8)₁₂₃3_<125>; = 7 · 47 · 89 · 709 · 1745479 · 27312668941_<11> · 3634227961571_<13> · 2056972714599797036519955497_<28> · 10662627426017718036674662365879063049523901720428831057367439_<62>

(71·10¹²⁵-53)/9 =: 7(8)₁₂₄3_<126>; = 3 · 2307700501_<10> · 113950212711317066600126791307119867442002588949892056622196383950502493288215030362366317726497283870444054197032461_<117>

(71·10¹²⁶-53)/9 =: 7(8)₁₂₅3_<127>; = 636263 · 8244083 · 7724287517664039071_<19> · 194705573698708926515072621005981967497084850956715882987128665053880246724614713658788144556937_<96>

(71·10¹²⁷-53)/9 =: 7(8)₁₂₆3_<128>; = 17 · 41927 · 1296343 · 67042273 · 196637513 · 121068908099_<12> · 53494049342081645608946224142752297164184562095301406025732644346893361742357057969028409_<89>

(71·10¹²⁸-53)/9 =: 7(8)₁₂₇3_<129>; = 3² · 2377 · 8831 · 165003680788079684382461700620601145550349398065163_<51> · 25306998018702680821578149424957973175262997834761086043278516609659927_<71> (Dmitry Domanov / ggnfs/msieve snfs / 2.54 hours / Dec 18, 2009)

(71·10¹²⁹-53)/9 =: 7(8)₁₂₈3_<130>; = 73 · 261467 · 67547718770561465687_<20> · 6118788033359262789861945400474760394401320609669429271752694815972353182729009362228995543982900396199_<103>

(71·10¹³⁰-53)/9 =: 7(8)₁₂₉3_<131>; = 7 · 99133 · 9078241 · 1994928956733317587_<19> · 6277264204400245361689315615641064261460765681136333711407799624039874040137443442712746596171664579_<100>

(71·10¹³¹-53)/9 =: 7(8)₁₃₀3_<132>; = 3 · 196715840065308398795279369007364211116917928283_<48> · 1336765574524455904141319038788517795589445839396460183951749385129955666167430296067_<85> (Dmitry Domanov / GGNFS/msieve snfs / 3.13 hours / Dec 18, 2009)

(71·10¹³²-53)/9 =: 7(8)₁₃₁3_<133>; = 517214393087147489390495048364390108944880537532928038319981_<60> · 15252647633801751029471431177710620169842615413914822823473476439081203743_<74> (Dmitry Domanov / GGNFS/msieve snfs / 3.53 hours / Dec 18, 2009)

(71·10¹³³-53)/9 =: 7(8)₁₃₂3_<134>; = 7662723054065306219_<19> · 20304569175853863232917855481_<29> · 507036157562055128519907218405419793920267985617265509805746054025268209993676234976097_<87>

(71·10¹³⁴-53)/9 =: 7(8)₁₃₃3_<135>; = 3 · 1248424878698281_<16> · 3749028001261114267397282247344700583630333114637_<49> · 56184107410696183723363555425171112886122517296076068553504744503648013_<71> (Dmitry Domanov / Msieve 1.40 snfs / 4.59 hours / Dec 18, 2009)

(71·10¹³⁵-53)/9 =: 7(8)₁₃₄3_<136>; = 6745880366212108691779530567928483529559329688486999836127929329_<64> · 1169438006698389308964930379145889791962225646934827427481335042336893027_<73> (Dmitry Domanov / GGNFS/msieve snfs / 3.20 hours / Dec 18, 2009)

(71·10¹³⁶-53)/9 =: 7(8)₁₃₅3_<137>; = 7 · 51980300653_<11> · 954769764248960953148801851587662128903_<39> · 227080768266703753928456788022703634642399994316630471933625214253812105368451884403791_<87> (Dmitry Domanov / GGNFS/msieve snfs / 13.24 hours / Dec 18, 2009)

(71·10¹³⁷-53)/9 =: 7(8)₁₃₆3_<138>; = 3⁴ · 73 · 761 · 2819 · 213289 · 1785968911_<10> · 497338274574517430075176129186594377221125453_<45> · 328272113722656687403829731159683520949633917603574352244659948723827_<69> (juno1369 / GGNFS+Msieve v1.43 snfs / 10.80 hours on Windows Vista, Pentium Edition / Dec 26, 2009)

(71·10¹³⁸-53)/9 =: 7(8)₁₃₇3_<139>; = 27248575999_<11> · 395925893367391_<15> · 419162038746174165070948225788357647335121_<42> · 1744520907848239545736800443327766019464664837271375568832178853070200547_<73> (juno1369 / GGNFS, Msieve snfs / 12.73 hours / Dec 26, 2009)

(71·10¹³⁹-53)/9 =: 7(8)₁₃₈3_<140>; = 801174683 · 14659793272247047053381486853609_<32> · 68028420190133278374253607086763647043_<38> · 98734831756079313401932916138550660196735650678372000189629323_<62> (Sinkiti Sibata / Msieve 1.42 snfs / 8 hours / Dec 18, 2009)

(71·10¹⁴⁰-53)/9 =: 7(8)₁₃₉3_<141>; = 3 · 19 · 823 · 19583 · 29191 · 55677832972838935781390411_<26> · 528360847010163694008183218548060326690844136640770520048941925001069256140437012064320498782723793791_<102>

(71·10¹⁴¹-53)/9 =: 7(8)₁₄₀3_<142>; = 233754297133941847_<18> · 1028967226993553793418908374844708409590884949523_<49> · 32798553711507640264348032595324966676169736366141269700962862828462355796743_<77> (Sinkiti Sibata / Msieve 1.40 snfs / 8.15 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 19, 2009)

(71·10¹⁴²-53)/9 =: 7(8)₁₄₁3_<143>; = 7 · 29 · 9883 · 439015815397321_<15> · 386490477254802054771629653876754876141479_<42> · 231745890891283210023353126279632762290504685320045999233520726993901299486391013_<81> (Sinkiti Sibata / Msieve 1.40 snfs / 8.84 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 19, 2009)

(71·10¹⁴³-53)/9 =: 7(8)₁₄₂3_<144>; = 3 · 17 · 6301 · 153929 · 419651 · 35797100488701217_<17> · 6937361701708324267103_<22> · 153780535368606699808334225196851_<33> · 995139386383652479833893377455100373087666602506469998827_<57> (Erik Branger / Msieve for P33 x P57 / 2.02 hours / Dec 18, 2009)

(71·10¹⁴⁴-53)/9 =: 7(8)₁₄₃3_<145>; = 4429813 · 216774020067593_<15> · 8215295971024093338299460971581580015175213670705592044073347107955256351026200024972631049769949094287237476564720891196687_<124>

(71·10¹⁴⁵-53)/9 =: 7(8)₁₄₄3_<146>; = 23 · 73 · 163 · 1116605663_<10> · 113373792379294171770491_<24> · 2277010527397769272635418553772965589863680639289971284961594037920215989534960238115921506814129942505762963_<109>

(71·10¹⁴⁶-53)/9 =: 7(8)₁₄₅3_<147>; = 3² · 155009 · 767549 · 548065700787859763_<18> · 28313464398271296426643_<23> · 90043846252206546356078001486191_<32> · 527267048811299110914254879692935600567639860720341154915317553_<63> (Erik Branger / GGNFS, Msieve gnfs for P32 x P63 / 3.39 hours / Dec 18, 2009)

(71·10¹⁴⁷-53)/9 =: 7(8)₁₄₆3_<148>; = 586934542753161375555254533_<27> · 13440832519217744353010076282046239291542767030074627502467534326350383027488555199209581255126602989438084176248252116951_<122>

(71·10¹⁴⁸-53)/9 =: 7(8)₁₄₇3_<149>; = 7 · 103 · 4623071854794763055981863186790303195310782012328269473558183_<61> · 23667366222130787792273066730206177697377235694310735886378311300462181777177208904581_<86> (Dmitry Domanov / GGNFS/msieve for P61 x P86 / Dec 18, 2009)

(71·10¹⁴⁹-53)/9 =: 7(8)₁₄₈3_<150>; = 3 · 601 · 1223 · 20082850968224643514893870089_<29> · 17814280653279333097622353483904009214875941106292478663292230521495672349314239777450240209220415302037508241597063_<116>

(71·10¹⁵⁰-53)/9 =: 7(8)₁₄₉3_<151>; = 1307 · 128415372495535273586931730868534677776502526639_<48> · 47002746513966858009036774509430398095275660887836235273369621377326418835059116058961137334091595271_<101> (Dmitry Domanov / GGNFS/msieve snfs / 11.65 hours / Dec 18, 2009)

(71·10¹⁵¹-53)/9 =: 7(8)₁₅₀3_<152>; = 28979 · 17064804857_<11> · 19075205936564499919_<20> · 8362995879234347984636366877006353099408072622544749704687088645490961735437988726462903256377554198606025873785372519_<118>

(71·10¹⁵²-53)/9 =: 7(8)₁₅₁3_<153>; = 3 · 1125915733_<10> · 7501597297_<10> · 179012030977716283_<18> · 173921282951154586842585654468214111186033098097029334306809166440662412096402385198129838153085024523688322174476167_<117>

(71·10¹⁵³-53)/9 =: 7(8)₁₅₂3_<154>; = 73 · 113 · 24135751 · 21178624544521549563422189844267730857280106963_<47> · 1870923231505605736775512172733765140685086007303649001837152612144039224271245580363485610598159_<97> (Sinkiti Sibata / Msieve 1.40 snfs / 31.87 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 7, 2010)

(71·10¹⁵⁴-53)/9 =: 7(8)₁₅₃3_<155>; = 7³ · 173 · 91029488021920477817_<20> · 34379844600362473054321151_<26> · 55335884012000053085446190960791791359_<38> · 7676844686645810139473040241193944968363266152659081527591895200449_<67> (Sinkiti Sibata / Msieve 1.40 gnfs for P38 x P67 / 11.82 hours / Feb 6, 2010)

(71·10¹⁵⁵-53)/9 =: 7(8)₁₅₄3_<156>; = 3² · 2417 · 871626051143988814451445408025806249167734991383935068083470977_<63> · 41607007147085972531564265372600617383165183506086633697819845637554713761487432732485643_<89> (Dmitry Domanov / GGNFS/msieve snfs / 17.08 hours / Feb 8, 2010)

(71·10¹⁵⁶-53)/9 =: 7(8)₁₅₅3_<157>; = 15767 · 197891 · 11010050309_<11> · 15296856428617_<14> · 84551268571093223633_<20> · 7838698215268218106337_<22> · 22650884308380263377392606272448415071443468022683757397157597201891373047155580803_<83>

(71·10¹⁵⁷-53)/9 =: 7(8)₁₅₆3_<158>; = 219035876215414624909_<21> · 12696120347723256744948029128288674559040707_<44> · 13547545684108540942176555004282648648888243_<44> · 2093962646595817030648906645318073187435193929001687_<52> (Erik Branger / GGNFS, Msieve snfs / 62.62 hours / Feb 8, 2010)

(71·10¹⁵⁸-53)/9 =: 7(8)₁₅₇3_<159>; = 3 · 19 · 379 · 311511202272091_<15> · 117227122475575308065892984022641161775074759771425100887485905647952810342046817711549649585490897779664048018738569355262252299741552318371_<141>

(71·10¹⁵⁹-53)/9 =: 7(8)₁₅₈3_<160>; = 17 · 7723 · 153877553213_<12> · 17060607095542982135891_<23> · 22888173120962190939580354059130701673921912665729433962530040103384053229281741806673312105985651644249902799105390462511_<122>

(71·10¹⁶⁰-53)/9 =: 7(8)₁₅₉3_<161>; = 7 · 467 · 469031 · 10438469 · 6634206743_<10> · 56477592058627045716257_<23> · 13155198075644298320178386318298207432787350082646237602982212698593816680799510492094194644286573302324315897163_<113>

(71·10¹⁶¹-53)/9 =: 7(8)₁₆₀3_<162>; = 3 · 73 · 269 · 617 · 1531 · 46355745125629943_<17> · 305812704383697321592127575894240176773079674071829641766631316577343449576033149632530000434722748345320198611715170950772634196507673_<135>

(71·10¹⁶²-53)/9 =: 7(8)₁₆₁3_<163>; = 83 · 49659949 · 93455127541_<11> · 162313702127053_<15> · 93818594002862303372969206114362921697114910453_<47> · 1344882181324954876227953016089422454440998267281641629087079721321318630044532321_<82> (Sinkiti Sibata / Msieve 1.40 snfs / 59.32 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 9, 2010)

(71·10¹⁶³-53)/9 =: 7(8)₁₆₂3_<164>; = 109 · 110201656734068924291388794695545414672173291998312305285442709059887697447_<75> · 6567517183126354584338610733199547359429276893991163884953937961540154502551366253134921_<88> (Dmitry Domanov / GGNFS/msieve snfs / 46.28 hours / Feb 6, 2010)

(71·10¹⁶⁴-53)/9 =: 7(8)₁₆₃3_<165>; = 3³ · 6728606377481_<13> · 87878909117421927513203294299204406524570490761790339387460157_<62> · 49413122100866930038653565408305690844938167618950844910917079894729188233262109000519637_<89> (Sinkiti Sibata / Msieve 1.40 snfs / 76.37 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Feb 10, 2010)

(71·10¹⁶⁵-53)/9 =: 7(8)₁₆₄3_<166>; = 227 · 25101371 · 18605110654111_<14> · 74414965045721090707250887444401275406311744603239816158343570907198845362284830514016244193564693303003973904064730466918246159070800855385309_<143>

(71·10¹⁶⁶-53)/9 =: 7(8)₁₆₅3_<167>; = 7 · 14896223 · 228619465931897_<15> · 3309241242367164812765311293376238203480852598705229832859659547688131592997919763782031663655901063201596396008637747368789915019260040544447299_<145>

(71·10¹⁶⁷-53)/9 =: 7(8)₁₆₆3_<168>; = 3 · 23 · 937 · 2551 · 1639159 · 162073867 · 5650773866793854009_<19> · 3186212184936743861290548101743535974648561459226504064114309014189278448354916761433067109638482063938588234712387462877218293_<127>

(71·10¹⁶⁸-53)/9 =: 7(8)₁₆₇3_<169>; = 89 · 719 · 7079 · 6338102298551071_<16> · 12563722883491914223_<20> · 218699322038496772705095377562430080570987306422134011872428666634434216417634912470809562920243568089067501830147426661536259_<126>

(71·10¹⁶⁹-53)/9 =: 7(8)₁₆₈3_<170>; = 73 · 33521 · 10141412328385953976384589_<26> · 3178905169165808235240715482402324947830321012780819193344193723010407148212107580068594879128067165282986383460497614409932957472438618359_<139>

(71·10¹⁷⁰-53)/9 =: 7(8)₁₆₉3_<171>; = 3 · 29 · 47 · 61 · 457 · 11189800681_<11> · 11528253648087443893_<20> · 311123680686761895569_<21> · 172438307497902042073133004297219449084774267445148545979156082425154398571322920416410160453835859842693744656043_<114>

(71·10¹⁷¹-53)/9 =: 7(8)₁₇₀3_<172>; = 359 · 44410697 · 149671717193423_<15> · 117681446717784602654140443466810687923663414504079814557_<57> · 28092220030700306745135171902462376611937238656011692505662181476928681802900497061893983711_<92> (Sinkiti Sibata / Msieve 1.40 snfs / May 5, 2010)

(71·10¹⁷²-53)/9 =: 7(8)₁₇₁3_<173>; = 7 · 421 · 1093 · 22295034427_<11> · 421140460945991_<15> · 1781751436554951013_<19> · 1204937249962482914211256297_<28> · 17936228554861316218098839522939836102343_<41> · 67738838947888822229396601375366011111305692306479440243_<56> (Dmitry Domanov / msieve v1.42 for P41 x P56 / Feb 6, 2010)

(71·10¹⁷³-53)/9 =: 7(8)₁₇₂3_<174>; = 3² · 759569 · 710612024911146388045607_<24> · 1661858751922454930754709069_<28> · 1502172021649743703796815918303_<31> · 14387984374008964353692546150292041_<35> · 4521263420292820617117157226105898243554881602501847_<52> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3099352325 for P31 / Jan 27, 2010) (Lionel Debroux / msieve 1.44 for P35 x P52 / 0.42 hours on Core 2 Duo T7600, 3 GB RAM / Feb 6, 2010)

(71·10¹⁷⁴-53)/9 =: 7(8)₁₇₃3_<175>; = 55057 · 825812355523_<12> · 15439453917164692939_<20> · 52893834626086957033514208437_<29> · 659824236171025024432961370567061311631978489381319_<51> · 322000589793856521330830147087614998288210197748389168486609_<60> (Dmitry Domanov / Msieve 1.40 gnfs for P51 x P60 / 13.31 hours / Feb 7, 2010)

(71·10¹⁷⁵-53)/9 =: 7(8)₁₇₄3_<176>; = 17 · 1526254787_<10> · 307448773784817869862137920871764957154348685415965846036565208874341_<69> · 9889335563221011911055519385749526338319998568203091718333838280370193850824284481281467425988397_<97> (Dmitry Domanov / Msieve 1.40 snfs / Aug 27, 2011)

(71·10¹⁷⁶-53)/9 =: 7(8)₁₇₅3_<177>; = 3 · 19 · 10991831 · 166298766173_<12> · 18067800006915829_<17> · [419060415628599761211130735704500571006766570315340753604325612751190831146737607948812383826164926492376577061234763463344888766600950205997_<141>] SUBMIT/RESERVE

(71·10¹⁷⁷-53)/9 =: 7(8)₁₇₆3_<178>; = 73 · 10781 · 12734783 · 524981785477_<12> · [1499333168111303874250492108912445878888480807158589416656193957664110081843482335927946249781804710464159804797810769371751437292492641095823027298172501_<154>] SUBMIT/RESERVE

(71·10¹⁷⁸-53)/9 =: 7(8)₁₇₇3_<179>; = 7 · 59 · 2935347254443_<13> · 43132639535840511436332941_<26> · 34551073581760152824385162577760663_<35> · 3151603803602068199317570504415770213_<37> · 13855018282194756036611568723827289926064818453203455983335371332603_<68> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2423145578 for P35, Msieve 1.48 gnfs for P37 x P68 / May 12, 2011)

(71·10¹⁷⁹-53)/9 =: 7(8)₁₇₈3_<180>; = 3 · 43487 · 6046932714672498975854001493847884723318761077171636649181662633958722444936715868258628163887206819577413088117436543402924160391909374363901004046334834846344032997515647503_<175>

(71·10¹⁸⁰-53)/9 =: 7(8)₁₇₉3_<181>; = 145567760392665315706369549_<27> · 2833061867849675108976975176033524597_<37> · 721291797432620819370950262959782050570473033_<45> · 26520614755796625803297178315994440558180071083039131823098722055518805067_<74> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3548039587 for P37, Msieve 1.48 gnfs for P45 x P74 / May 13, 2011)

(71·10¹⁸¹-53)/9 =: 7(8)₁₈₀3_<182>; = 97 · 14543 · 1067749 · 17963365305692253334759_<23> · 63224672445229591036567735465984363_<35> · 46115469830302189383202414299127979260085322976125232820381543080872213444102835579026890389633861788351732514781_<113> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=4066096675 for P35 / May 12, 2011)

(71·10¹⁸²-53)/9 =: 7(8)₁₈₁3_<183>; = 3² · 103 · 263 · 1589513 · 1574808565979939_<16> · 362508652587364991_<18> · 3565907940504647111158787801007764019765441360131664484303162497026853336722374657950264594031623975381467658041182969744289682066135691759_<139>

(71·10¹⁸³-53)/9 =: 7(8)₁₈₂3_<184>; = 25156811461883119_<17> · [313588584182932230308606436178393819603681527043198014863399897911280769941187759598449895773143243949504209405317953262498074549673743798093473414359599661534906376957_<168>] SUBMIT/RESERVE

(71·10¹⁸⁴-53)/9 =: 7(8)₁₈₃3_<185>; = 7 · 229616488387023451781_<21> · 84021720498047489624145404808463_<32> · 891960582669796382710688908514062514332546286085511_<51> · 654903777748993072648865361838280968549068633917031069184275649627866609303728393_<81> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1154034739 for P32 / Jan 28, 2010) (Robert Backstrom / Msieve 1.44 gnfs for P51 x P81 / Apr 15, 2012)

(71·10¹⁸⁵-53)/9 =: 7(8)₁₈₄3_<186>; = 3 · 73 · 5499367 · 40801291 · 4823880444860688731209934523689430187_<37> · 6836252372194166255587528254664107267319_<40> · 486822333221789747608901972516008857760480851676418334497365481124344319374871069411758669777_<93> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2524615539 for P37 / Jan 28, 2010) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3169158868 for P40 / May 12, 2011)

(71·10¹⁸⁶-53)/9 =: 7(8)₁₈₅3_<187>; = 4398996208197920400431_<22> · [1793338415292844151418698881567943286007931405015910199158362061571826867662649787392790768676559569443898899351160219672421025221053201673938448851244927373532184893_<166>] SUBMIT/RESERVE

(71·10¹⁸⁷-53)/9 =: 7(8)₁₈₆3_<188>; = 149 · 7607 · 1009081791755644926230568391189583909489296151_<46> · 68974694395580305596034734139909421702105976105209183739035246942827902605917709531563291378452820470175681825778960713131351301237569431_<137> (Robert Backstrom / Msieve 1.42 snfs / Mar 12, 2010)

(71·10¹⁸⁸-53)/9 =: 7(8)₁₈₇3_<189>; = 3 · 2095867223449_<13> · 4892372560779589_<16> · 530060508383678032612880711_<27> · 317527592748688130378706319621_<30> · 20857903971267062275487155619388204740519_<41> · 7305226965834688537850332276042574241214801921804287260921681809_<64> (Serge Batalov / GMP-ECM B1=2000000, sigma=3708019389 for P30 / Feb 6, 2010) (Dmitry Domanov / Msieve 1.40 gnfs for P41 x P64 / 7.05 hours / Feb 8, 2010)

(71·10¹⁸⁹-53)/9 =: 7(8)₁₈₈3_<190>; = 23 · 5657 · 24419 · 483129079939495296421228585695569_<33> · 2075139335868366675334433874028517949780227582713_<49> · 2476643564601162816827306436435084729448437148293488910762165076060515812292096121119507254035866071_<100> (matsui / Msieve 1.48 snfs / Jan 15, 2011)

(71·10¹⁹⁰-53)/9 =: 7(8)₁₈₉3_<191>; = 7 · 6230124140101776007200403716091227278918873837366536643482420008408383_<70> · 1808927240678893510683319992075632951791314777588091566065876533430865830799059030679619725180575923873189071419954797643_<121> (Dmitry Domanov / GGNFS/msieve snfs / 325.53 hours / Feb 18, 2010)

(71·10¹⁹¹-53)/9 =: 7(8)₁₉₀3_<192>; = 3³ · 17 · 151 · 3128101463840032928597_<22> · 64473292093436483184197140194253_<32> · 753028532572335058119698429396858269118974897039_<48> · 74946972894141979793805085467681033030312796202839490704258529143170853416198933461713_<86> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=4025848233 for P32 / May 12, 2011) (Erik Branger / GGNFS, Msieve gnfs for P48 x P86 / Nov 17, 2011)

(71·10¹⁹²-53)/9 =: 7(8)₁₉₁3_<193>; = 683974577873_<12> · 7208639628375586975185845502887366300489081_<43> · 1600009510935690500268410569974972276067269310406810246765131220073968896745008229247092916476490544997842431912506152063674288641658520091_<139> (Robert Backstrom / Msieve 1.44 snfs / Mar 24, 2012)

(71·10¹⁹³-53)/9 =: 7(8)₁₉₂3_<194>; = 73 · 131 · 3833 · 2152201175422550068542908969853423975195535888559338388623517937055396727655713263098278923823388055655110016265154288831781594770219044154653284316133120384242721538290579538700291954577_<187>

(71·10¹⁹⁴-53)/9 =: 7(8)₁₉₃3_<195>; = 3 · 19 · 191 · 269837610923_<12> · 260869667435052975462707_<24> · [1029393801373521164749176237049809530647742902803914220889575740846128329384468770418265952992624148903301063604815336849006517753428372316606031000975260069_<157>] SUBMIT/RESERVE

(71·10¹⁹⁵-53)/9 =: 7(8)₁₉₄3_<196>; = 5417 · 65111 · 91206544109_<11> · 2386900019369_<13> · 78247474904372699055791_<23> · 1313022228648797275606098674447828292979637350431361232386146756070381772745843193126422953021251276368324225080124375221044946875148391388519_<142>

(71·10¹⁹⁶-53)/9 =: 7(8)₁₉₅3_<197>; = 7² · 2246971 · 352975511056956801443_<21> · 299251890891106827900051701_<27> · 6783296692399291883224889528959509788585779785172566827847297028034411112962045501196046970290167208818431453998848744346937221504045553351239_<142> (Serge Batalov / GMP-ECM B1=2000000, sigma=1483934712 for P27 / Feb 6, 2010)

(71·10¹⁹⁷-53)/9 =: 7(8)₁₉₆3_<198>; = 3 · 173 · 1533701857937_<13> · 15810139601777_<14> · 133788433863695211334504630023991_<33> · 20472018861811606633557352403955383_<35> · 1057694401269606440789833139190542166751371269385919_<52> · 21638760724785579316737674092740954964541440721150299_<53> (Serge Batalov / GMP-ECM B1=2000000, sigma=929329832 for P33 / Feb 6, 2010) (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3153879867 for P35 / Feb 11, 2010) (Max Dettweiler / GGNFS + msieve v1.43 w/factmsieve.py gnfs for P52 x P53 / 5.70 hours on Core 2 Duo 2.2Ghz, Windows XP 32-bit, Cygwin / Feb 13, 2010)

(71·10¹⁹⁸-53)/9 =: 7(8)₁₉₇3_<199>; = 29 · 257112857571690884794021_<24> · 1791369361382617002734008109_<28> · [590621026682526191952458426117041186756756288782652912426690690508813611718096262767217351808106755204133586739351811047234965980701650587583206543_<147>] SUBMIT/RESERVE

(71·10¹⁹⁹-53)/9 =: 7(8)₁₉₈3_<200>; = 2620445357593988067594558202381042288073230253246743639_<55> · 2343055626697146054647226411149363946050639708685760334060778149030139553_<73> · 12848668723094517746566409994005639649373248399136363818887697827426651749_<74> (Dmitry Domanov / GGNFS/msieve v1.42 for P55 x P73 x P74 / Mar 7, 2010)

(71·10²⁰⁰-53)/9 =: 7(8)₁₉₉3_<201>; = 3² · 17624950687_<11> · 92865351381204623883553_<23> · 113790964896985048689527111_<27> · [470634687253690530060743438055536102746735389463772789953999692983992700670690613233617793135291995200000566313795301923988511777687515063347_<141>] SUBMIT/RESERVE

4. References

A103066 - OEIS (The OEIS Foundation Inc.)