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Factorizations of 211...113

About 211...113
- First ten terms
- General term
Prime numbers of the form 211...113
Factorizations of 211...113
References

1. About 211...113

First ten terms

23, 213, 2113, 21113, 211113, 2111113, 21111113, 211111113, 2111111113, 21111111113

General term

(19·10ⁿ+17)/9

2. Prime numbers of the form 211...113

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

23.75%

Results

(19·10¹+17)/9 = 23 is prime.
(19·10³+17)/9 = 2113 is prime.
(19·10⁷+17)/9 = 21111113 is prime.
(19·10¹³+17)/9 = 2(1)₁₂3_<14> is prime.
(19·10²⁴+17)/9 = 2(1)₂₃3_<25> is prime.
(19·10³⁰+17)/9 = 2(1)₂₉3_<31> is prime.
(19·10⁴⁸+17)/9 = 2(1)₄₇3_<49> is prime.
(19·10⁵²+17)/9 = 2(1)₅₁3_<53> is prime.
(19·10¹⁶³+17)/9 = 2(1)₁₆₂3_<164> is prime. (Makoto Kamada / PPSIQS / Oct 1, 2004)
(19·10¹⁷⁵+17)/9 = 2(1)₁₇₄3_<176> is prime. (Makoto Kamada / PPSIQS / Oct 1, 2004)
(19·10²¹⁹+17)/9 = 2(1)₂₁₈3_<220> is prime. (Makoto Kamada / PPSIQS / Oct 1, 2004)
(19·10²²⁸+17)/9 = 2(1)₂₂₇3_<229> is prime. (Makoto Kamada / PPSIQS / Oct 1, 2004)
(19·10²⁶¹+17)/9 = 2(1)₂₆₀3_<262> is prime. (Makoto Kamada / PPSIQS / Oct 1, 2004)
(19·10⁷⁵⁴+17)/9 = 2(1)₇₅₃3_<755> is prime. (searched by Makoto Kamada / Oct 1, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
(19·10⁹⁵¹+17)/9 = 2(1)₉₅₀3_<952> is prime. (searched by Makoto Kamada / Oct 1, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
(19·10¹³⁴⁴+17)/9 = 2(1)₁₃₄₃3_<1345> is prime. (searched by Makoto Kamada / Oct 1, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 8, 2006)
(19·10¹⁵⁷³+17)/9 = 2(1)₁₅₇₂3_<1574> is prime. (searched by Makoto Kamada / Oct 1, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 5, 2006)
(19·10³²⁹⁴+17)/9 = 2(1)₃₂₉₃3_<3295> is PRP. (Makoto Kamada / Oct 1, 2004)
(19·10³⁵²³+17)/9 = 2(1)₃₅₂₂3_<3524> is PRP. (Makoto Kamada / Oct 1, 2004)

3. Factorizations of 211...113

Last update

Nov 6, 2009

Completed up to

n≤100 / Oct 1, 2004
n≤150 / May 28, 2008

Range

n≤200

Terms which have not been factored yet

n=174, 183, 186, 187, 188, 189, 193, 194, 196 (9/200)

Results

(19·10¹+17)/9 =: 23; = definitely prime number

(19·10²+17)/9 =: 213; = 3 · 71

(19·10³+17)/9 =: 2113; = definitely prime number

(19·10⁴+17)/9 =: 21113; = 43 · 491

(19·10⁵+17)/9 =: 211113; = 3³ · 7 · 1117

(19·10⁶+17)/9 =: 2111113; = 29 · 72797

(19·10⁷+17)/9 =: 21111113; = definitely prime number

(19·10⁸+17)/9 =: 211111113; = 3 · 70370371

(19·10⁹+17)/9 =: 2111111113_<10>; = 659 · 3203507

(19·10¹⁰+17)/9 =: 21111111113_<11>; = 167 · 181 · 698419

(19·10¹¹+17)/9 =: 211111111113_<12>; = 3 · 7 · 32117 · 313009

(19·10¹²+17)/9 =: 2111111111113_<13>; = 31 · 68100358423_<11>

(19·10¹³+17)/9 =: 21111111111113_<14>; = definitely prime number

(19·10¹⁴+17)/9 =: 211111111111113_<15>; = 3² · 606443 · 38679299

(19·10¹⁵+17)/9 =: 2111111111111113_<16>; = 547889 · 3853173017_<10>

(19·10¹⁶+17)/9 =: 21111111111111113_<17>; = 10527281 · 2005371673_<10>

(19·10¹⁷+17)/9 =: 211111111111111113_<18>; = 3 · 7² · 2389 · 434839 · 1382449

(19·10¹⁸+17)/9 =: 2111111111111111113_<19>; = 149 · 647 · 21898811355571_<14>

(19·10¹⁹+17)/9 =: 21111111111111111113_<20>; = 101741 · 207498561161293_<15>

(19·10²⁰+17)/9 =: 211111111111111111113_<21>; = 3 · 70370370370370370371_<20>

(19·10²¹+17)/9 =: 2111111111111111111113_<22>; = 59 · 61561 · 21036791 · 27629557

(19·10²²+17)/9 =: 21111111111111111111113_<23>; = 113 · 33577 · 34501 · 134417 · 1199789

(19·10²³+17)/9 =: 211111111111111111111113_<24>; = 3² · 7 · 23 · 22741 · 6406681702339357_<16>

(19·10²⁴+17)/9 =: 2111111111111111111111113_<25>; = definitely prime number

(19·10²⁵+17)/9 =: 21111111111111111111111113_<26>; = 43 · 490956072351421188630491_<24>

(19·10²⁶+17)/9 =: 211111111111111111111111113_<27>; = 3 · 7816418722531_<13> · 9002891588641_<13>

(19·10²⁷+17)/9 =: 2111111111111111111111111113_<28>; = 31 · 3557 · 4903 · 37173607 · 105043440059_<12>

(19·10²⁸+17)/9 =: 21111111111111111111111111113_<29>; = 25639 · 1711481 · 43022129 · 11182683383_<11>

(19·10²⁹+17)/9 =: 211111111111111111111111111113_<30>; = 3 · 7 · 109279 · 91993064110305300286907_<23>

(19·10³⁰+17)/9 =: 2111111111111111111111111111113_<31>; = definitely prime number

(19·10³¹+17)/9 =: 21111111111111111111111111111113_<32>; = 107 · 13001 · 13294428919_<11> · 1141513019536661_<16>

(19·10³²+17)/9 =: 211111111111111111111111111111113_<33>; = 3³ · 4089116767_<10> · 38565775817_<11> · 49581052621_<11>

(19·10³³+17)/9 =: 2111111111111111111111111111111113_<34>; = 959045911247_<12> · 2201261781478362875879_<22>

(19·10³⁴+17)/9 =: 21111111111111111111111111111111113_<35>; = 29 · 83 · 787 · 54484511 · 204544219857337746187_<21>

(19·10³⁵+17)/9 =: 211111111111111111111111111111111113_<36>; = 3 · 7 · 10052910052910052910052910052910053_<35>

(19·10³⁶+17)/9 =: 2111111111111111111111111111111111113_<37>; = 47 · 10960920569_<11> · 4097945733705200616862591_<25>

(19·10³⁷+17)/9 =: 21111111111111111111111111111111111113_<38>; = 71 · 3221 · 33594153587_<11> · 2747883488955895970689_<22>

(19·10³⁸+17)/9 =: 211111111111111111111111111111111111113_<39>; = 3 · 70370370370370370370370370370370370371_<38>

(19·10³⁹+17)/9 =: 2111111111111111111111111111111111111113_<40>; = 38047501 · 55486196349955049902255370493613_<32>

(19·10⁴⁰+17)/9 =: 21111111111111111111111111111111111111113_<41>; = 97 · 761 · 285992537100005569328354052740034289_<36>

(19·10⁴¹+17)/9 =: 211111111111111111111111111111111111111113_<42>; = 3² · 7 · 145511 · 1458045199332619_<16> · 15794421708353242739_<20>

(19·10⁴²+17)/9 =: 2111111111111111111111111111111111111111113_<43>; = 31² · 66637591 · 32966164031630129248528721399263_<32>

(19·10⁴³+17)/9 =: 21111111111111111111111111111111111111111113_<44>; = 142169927 · 149581805267771_<15> · 992714992278655632989_<21>

(19·10⁴⁴+17)/9 =: 211111111111111111111111111111111111111111113_<45>; = 3 · 24774353273_<11> · 7458717859003_<13> · 380823141415617551009_<21>

(19·10⁴⁵+17)/9 =: 2111111111111111111111111111111111111111111113_<46>; = 23 · 157 · 439 · 112771 · 1316761 · 272483040451_<12> · 32913587323033037_<17>

(19·10⁴⁶+17)/9 =: 21111111111111111111111111111111111111111111113_<47>; = 43 · 365947637947_<12> · 1341601970997080443222689196761953_<34>

(19·10⁴⁷+17)/9 =: 211111111111111111111111111111111111111111111113_<48>; = 3 · 7 · 18089 · 26267 · 206983267 · 309358826389409_<15> · 330422045134477_<15>

(19·10⁴⁸+17)/9 =: 2111111111111111111111111111111111111111111111113_<49>; = definitely prime number

(19·10⁴⁹+17)/9 =: 21111111111111111111111111111111111111111111111113_<50>; = 223 · 5088905011_<10> · 3544582652946761_<16> · 5248277333355496837861_<22>

(19·10⁵⁰+17)/9 =: 211111111111111111111111111111111111111111111111113_<51>; = 3² · 1197709 · 19584715589059437746110941909476166684442373_<44>

(19·10⁵¹+17)/9 =: 2111111111111111111111111111111111111111111111111113_<52>; = 174649 · 2547997 · 4495111 · 1055372213040229118720951795649811_<34>

(19·10⁵²+17)/9 =: 21111111111111111111111111111111111111111111111111113_<53>; = definitely prime number

(19·10⁵³+17)/9 =: 211111111111111111111111111111111111111111111111111113_<54>; = 3 · 7 · 1051 · 778733 · 3147751 · 3902115599970786120790987345120205741_<37>

(19·10⁵⁴+17)/9 =: 2111111111111111111111111111111111111111111111111111113_<55>; = 217143371 · 9722199215149474266525553345633153641660611003_<46>

(19·10⁵⁵+17)/9 =: 21111111111111111111111111111111111111111111111111111113_<56>; = 361682129 · 58369240331227731495440050097446509753074117497_<47>

(19·10⁵⁶+17)/9 =: 211111111111111111111111111111111111111111111111111111113_<57>; = 3 · 10837 · 6493528686017382150998465476642093787060106152105783_<52>

(19·10⁵⁷+17)/9 =: 2111111111111111111111111111111111111111111111111111111113_<58>; = 31 · 61 · 1613 · 111301 · 4873579577_<10> · 3157859187541_<13> · 404059485767644656121423_<24>

(19·10⁵⁸+17)/9 =: 21111111111111111111111111111111111111111111111111111111113_<59>; = 19891 · 11143487 · 95243065099861386065105680647613714301466780589_<47>

(19·10⁵⁹+17)/9 =: 211111111111111111111111111111111111111111111111111111111113_<60>; = 3⁶ · 7³ · 2237 · 37951 · 400839587 · 14015233213_<11> · 1840230067801_<13> · 961960363738307_<15>

(19·10⁶⁰+17)/9 =: 2111111111111111111111111111111111111111111111111111111111113_<61>; = 47389151 · 65900729428399_<14> · 675992599828664856827519182132613586137_<39>

(19·10⁶¹+17)/9 =: 21111111111111111111111111111111111111111111111111111111111113_<62>; = 6022663 · 7073899420499531_<16> · 9140372444085173_<16> · 54212540030610935133977_<23>

(19·10⁶²+17)/9 =: 211111111111111111111111111111111111111111111111111111111111113_<63>; = 3 · 29 · 229 · 142547 · 74335843678679204692008937247153359522290034051003873_<53>

(19·10⁶³+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111113_<64>; = 233 · 4496627 · 75043590645975713_<17> · 26850643650475201989323151170634658811_<38>

(19·10⁶⁴+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111113_<65>; = 12329 · 143813 · 178897 · 840319 · 14365327 · 24829459 · 70210747 · 3162652565697575215373_<22>

(19·10⁶⁵+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111113_<66>; = 3 · 7 · 3731579 · 2694009708198607857438609782322725288692242627828608991007_<58>

(19·10⁶⁶+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111113_<67>; = 579713 · 81895499091738951193_<20> · 44467019212707966943270538173049377748657_<41>

(19·10⁶⁷+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111113_<68>; = 23 · 43 · 2467 · 144909212610787_<15> · 25532034857726831765557_<23> · 2338644585471996627132289_<25>

(19·10⁶⁸+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111113_<69>; = 3² · 337 · 9187 · 1529651099579_<13> · 3807592064533147001_<19> · 1300834865578465148219225412457_<31>

(19·10⁶⁹+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111113_<70>; = 88759721 · 715187732711_<12> · 33256390149376474396174887114171231828927387389623_<50>

(19·10⁷⁰+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111113_<71>; = 557 · 37901456213844005585477757829642928386195890684221025334131258727309_<68>

(19·10⁷¹+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111113_<72>; = 3 · 7 · 961021 · 1127249 · 1383923 · 10973153 · 1253968981_<10> · 487314018429110883806973820183839863_<36>

(19·10⁷²+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111113_<73>; = 31 · 71 · 109 · 1721 · 44171 · 1559473 · 110335888139_<12> · 672747037592366930543233662977442796949941_<42>

(19·10⁷³+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111113_<74>; = 839 · 2693149 · 324239976527_<12> · 28815236588773155552951041137675897057042525662939029_<53>

(19·10⁷⁴+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111113_<75>; = 3 · 14639 · 560376092117995553_<18> · 26949522270879788439239_<23> · 318308148761883008244768160267_<30>

(19·10⁷⁵+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111113_<76>; = 83 · 28078050566458800043545464941_<29> · 905870354768457140894774530090056415504584671_<45>

(19·10⁷⁶+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111113_<77>; = 30763 · 39097243 · 109126867 · 7984169360712770909_<19> · 20145351289084654962306630531671372119_<38>

(19·10⁷⁷+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111113_<78>; = 3² · 7 · 179² · 359 · 39119 · 10821868987_<11> · 688145089597703695526474846652388029062186374148565893_<54>

(19·10⁷⁸+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111113_<79>; = 28661 · 1051927 · 251175716662194743_<18> · 1319075031560708407_<19> · 211342577728797400982592354893779_<33>

(19·10⁷⁹+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111113_<80>; = 59 · 131 · 3391 · 3197770230097_<13> · 251891051499289637978153008259630498989469247068931510235511_<60>

(19·10⁸⁰+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111113_<81>; = 3 · 463 · 1505557987657_<13> · 74981602993526598631_<20> · 1346345855233333569104369023243004838156224851_<46>

(19·10⁸¹+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111113_<82>; = 699141943 · 110587669957_<12> · 90787707012113863_<17> · 300754392701878335724212545689664558932509301_<45>

(19·10⁸²+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111113_<83>; = 47 · 19993 · 23588153 · 952448125711555779966425934480717255686248131490770465508709466688151_<69>

(19·10⁸³+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111111113_<84>; = 3 · 7 · 1407061 · 7144615658390114508221683390350562562712569002274992278268610993347163278673_<76>

(19·10⁸⁴+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<85>; = 107 · 51048946973_<11> · 121270850627_<12> · 3187014959485738766884716699806381367945630409578348397718429_<61>

(19·10⁸⁵+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<86>; = 6099215659_<10> · 10473826091_<11> · 61468878841_<11> · 5376212811528468063732490422151222497366534797763867097_<55>

(19·10⁸⁶+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<87>; = 3³ · 23561 · 2941039 · 6130295720465114289888695612507_<31> · 18406507811971097242498270261536583532051623_<44> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁸⁷+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<88>; = 31 · 38415614197_<11> · 106521360887_<12> · 16641976724926073614902284188750654342504505597762766987891085757_<65>

(19·10⁸⁸+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<89>; = 43 · 1572407 · 16087209830335589109555155011681050079_<38> · 19408722064138713448550343153304780057306147_<44> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁸⁹+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<90>; = 3 · 7 · 23 · 13761367 · 204917037536887571141421778631790304897_<39> · 154997364933199333697488621547167800431189_<42> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁹⁰+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<91>; = 29 · 220021341633318395070749511169153301_<36> · 330863062307936390282735263072088040168374761868622697_<54> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁹¹+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<92>; = 15727 · 57030517 · 993994068258996019044130175292049_<33> · 23679585902939041224465210664965598572318089243_<47> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁹²+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<93>; = 3 · 827 · 4071486007_<10> · 94478539060219_<14> · 221206666741885198583073517857283686021473907388387373705866684381_<66>

(19·10⁹³+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<94>; = 191 · 465450060161_<12> · 775198734073_<12> · 9842291438828549_<16> · 1104619810698206718394379_<25> · 2817620706077464916380557961_<28>

(19·10⁹⁴+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<95>; = 2842787 · 1741599012763206019_<19> · 159282036075604203635014038749_<30> · 26770211497706862692863192202019015603029_<41>

(19·10⁹⁵+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<96>; = 3² · 7 · 14004139001_<11> · 154491337267843149744539_<24> · 1548852270894333289400230232161560250317633148987483338296509_<61>

(19·10⁹⁶+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<97>; = 2465599 · 9021972864913_<13> · 89684705625676648170699460577590049_<35> · 1058202401392789148304051935378010145920551_<43> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁹⁷+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<98>; = 227 · 65673953 · 412356903364515532404253335067_<30> · 3434146411266287318417409762014076335301591013520109883769_<58> (Makoto Kamada / GGNFS-0.54.5b)

(19·10⁹⁸+17)/9 =: 211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<99>; = 3 · 5685484354031_<13> · 13261443061606531801_<20> · 4457751471434589681052277_<25> · 209370616121386347433619461044933408541633_<42>

(19·10⁹⁹+17)/9 =: 2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<100>; = 2392463 · 2861340439_<10> · 5412776727651230454165073_<25> · 56973934971689002422751813586411722071240575745854406848033_<59>

(19·10¹⁰⁰+17)/9 =: 21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113_<101>; = 1279 · 16505950829641212753018851533315958648249500477803839805403527061072018069672487186169750673269047_<98>

(19·10¹⁰¹+17)/9 =: 2(1)₁₀₀3_<102>; = 3 · 7² · 278412521 · 16445890495492290275917452053_<29> · 313651666758520757155939140229253964496510675735005119957907983_<63>

(19·10¹⁰²+17)/9 =: 2(1)₁₀₁3_<103>; = 31 · 16033 · 62017 · 773238569 · 1174954603_<10> · 102763588923585018593589857_<27> · 733584240008285973507105866798372165558723882557_<48>

(19·10¹⁰³+17)/9 =: 2(1)₁₀₂3_<104>; = 85717 · 17726953 · 1687950391_<10> · 790573278647843417_<18> · 55860835795248690337_<20> · 186380639036019535027181661998056826696988067_<45>

(19·10¹⁰⁴+17)/9 =: 2(1)₁₀₃3_<105>; = 3² · 263 · 727 · 1637 · 2167609 · 3196703 · 710811880926766199361311779_<27> · 15215696285443021941980953810039930924986322270750550617_<56>

(19·10¹⁰⁵+17)/9 =: 2(1)₁₀₄3_<106>; = 237581 · 3150047 · 783359782782066587583950077100340582667033_<42> · 3600983077686881125873890262969601465402154039814123_<52> (Sinkiti Sibata / Msieve v. 1.35 for P42 x P52 / 5.49 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹⁰⁶+17)/9 =: 2(1)₁₀₅3_<107>; = 14369 · 4436263108483_<13> · 1253693355168811_<16> · 264165395947682310588456517920685701507705667554531609424338505817051669929_<75>

(19·10¹⁰⁷+17)/9 =: 2(1)₁₀₆3_<108>; = 3 · 7 · 71 · 175191739 · 238713271 · 7184120236379579213291_<22> · 122871411074848676514800208304357_<33> · 3835472053043124237458484665547481_<34> (Makoto Kamada / Msieve 1.36 for P33 x P34 / 48 seconds on Pentium 4 3.06GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹⁰⁸+17)/9 =: 2(1)₁₀₇3_<109>; = 275423 · 15694559 · 606585163603_<12> · 11348942000802037_<17> · 71728948715325866055066661759_<29> · 989054319652027189062095994266939810041_<39>

(19·10¹⁰⁹+17)/9 =: 2(1)₁₀₈3_<110>; = 43 · 25558783554211_<14> · 277479527503238122888261_<24> · 69226362066157522054494848867009788265582060266489652618223789063032021_<71>

(19·10¹¹⁰+17)/9 =: 2(1)₁₀₉3_<111>; = 3 · 6607 · 2270199252456242699778729641333819680492093_<43> · 4691606222865481103080585512540588248203889051546135228221187921_<64> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 0.77 hours on Cygwin on AMD 64 3200+ / May 26, 2008)

(19·10¹¹¹+17)/9 =: 2(1)₁₁₀3_<112>; = 23 · 1861 · 662083 · 902971 · 82499372045035821976905654632149292842276385605571068495452529415234711172933192838552007313347_<95>

(19·10¹¹²+17)/9 =: 2(1)₁₁₁3_<113>; = 482834780039_<12> · 20004228627402012641513_<23> · 66077347308297488573671559_<26> · 33077915710396575640325540463034935172526342757428401_<53>

(19·10¹¹³+17)/9 =: 2(1)₁₁₂3_<114>; = 3³ · 7 · 10463 · 6868531 · 8489867933_<10> · 18693050947_<11> · 20536802929054547_<17> · 28424454782783520863_<20> · 167773396393371069652104431163824242119410099_<45>

(19·10¹¹⁴+17)/9 =: 2(1)₁₁₃3_<115>; = 18954079 · 3061870223_<10> · 36376559904076801643378175613261473930532772565756257919578691400797825710973220183921973175045689_<98>

(19·10¹¹⁵+17)/9 =: 2(1)₁₁₄3_<116>; = 791146974979_<12> · 26684183569900496637908552378029620489985104400355949415743624689763526214071848232253709778753105914947_<104>

(19·10¹¹⁶+17)/9 =: 2(1)₁₁₅3_<117>; = 3 · 83 · 71527 · 5602253 · 2966325687678056937474314854464720978353817202219_<49> · 713280224924002374089503089945616997448142074923965033_<54> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.45 hours on Cygwin on AMD 64 3200+ / May 26, 2008)

(19·10¹¹⁷+17)/9 =: 2(1)₁₁₆3_<118>; = 31 · 61 · 61231 · 704964570643_<12> · 63460649118500649720004637763831639443635857911_<47> · 407545788120013284598901938387320489819499387145561_<51> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 2.34 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹¹⁸+17)/9 =: 2(1)₁₁₇3_<119>; = 29 · 15767 · 223176684859489_<15> · 662117259885357335971123544083_<30> · 312449831473901267313358389466038171202132642237755638686095636351593_<69> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2729996912 for P30 / May 17, 2008)

(19·10¹¹⁹+17)/9 =: 2(1)₁₁₈3_<120>; = 3 · 7 · 10687 · 10837 · 36637 · 634703 · 284270384600088361847_<21> · 13131212859444036355639505007713658279078913078476303463827251379597680321881811_<80>

(19·10¹²⁰+17)/9 =: 2(1)₁₁₉3_<121>; = 7211 · 4865366557739_<13> · 28523556703189_<14> · 2109581712538918917139930535348159133493785148659822865022881547160626333806238798981021773_<91>

(19·10¹²¹+17)/9 =: 2(1)₁₂₀3_<122>; = 1609 · 14898491627884431173138326429_<29> · 36218395286981478538085535848918712611_<38> · 24315518894413952771658466169562042509604178782165703_<53> (Sinkiti Sibata / Msieve v. 1.35 for P38 x P53 / 2.27 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹²²+17)/9 =: 2(1)₁₂₁3_<123>; = 3² · 1531 · 3307 · 11688331 · 19453443557_<11> · 89079392976173946432680652283943_<32> · 228735175398607793111899350301449553707992296824016489167318686041_<66> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3434838935 for P32 / May 17, 2008)

(19·10¹²³+17)/9 =: 2(1)₁₂₂3_<124>; = 157 · 9679 · 2006539826727473_<16> · 13580044721106044148459691_<26> · 29417771013805602099463483198175587379_<38> · 1733094331302908424592902890279346359443_<40> (Makoto Kamada / Msieve 1.36 for P38 x P40 / 7.4 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹²⁴+17)/9 =: 2(1)₁₂₃3_<125>; = 223718153 · 834759311 · 2098106958390013566678652050706071014416820177_<46> · 53879179111506794848560367490910458372207156743626422470530943_<62> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 1.99 hours on Cygwin on AMD 64 X2 6000+ / May 26, 2008)

(19·10¹²⁵+17)/9 =: 2(1)₁₂₄3_<126>; = 3 · 7 · 1987 · 3727 · 3160957 · 5400152789_<10> · 21795220773379_<14> · 21769371741788386995971686002193_<32> · 167611083343969985171953195615674438687622824552784462787_<57> (Sinkiti Sibata / Msieve v. 1.35 for P32 x P57 / 1.35 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹²⁶+17)/9 =: 2(1)₁₂₅3_<127>; = 5101168865899_<13> · 413848505432501753640200663027564902039236896380970352618314815207993725618241173786414595760911825749185697612187_<114>

(19·10¹²⁷+17)/9 =: 2(1)₁₂₆3_<128>; = 245734261 · 255812441 · 37427739803_<11> · 13026561039301_<14> · 416290987862728131515569063_<27> · 1654639275706350461397554075534854498436083371549540953381117_<61>

(19·10¹²⁸+17)/9 =: 2(1)₁₂₇3_<129>; = 3 · 47 · 7919 · 12925321139_<11> · 25804322571617_<14> · 566875687873197664551841276690362590248533884516785994996395253463269439414558529848698354914851569_<99>

(19·10¹²⁹+17)/9 =: 2(1)₁₂₈3_<130>; = 433 · 13591 · 1497948097_<10> · 600649065848982445548891839_<27> · 580172638748491501699214866543_<30> · 687221863353255204502282561755477985081357629150363128159_<57> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1141165706 for P30 / May 17, 2008)

(19·10¹³⁰+17)/9 =: 2(1)₁₂₉3_<131>; = 43 · 401 · 1931 · 1644781 · 7292837 · 52858082218846947986892705766420081974969789328078496771484281169347767596229042875443579602016900722493226913_<110>

(19·10¹³¹+17)/9 =: 2(1)₁₃₀3_<132>; = 3² · 7 · 16708177 · 48371497 · 4146216222845244330818648279847957567260291994477092977839858685617486626715967303416317526975952315921710197927279_<115>

(19·10¹³²+17)/9 =: 2(1)₁₃₁3_<133>; = 31 · 911 · 333483323 · 46928703599228182185833657_<26> · 4998028003187250350588924237218853249700597287_<46> · 955695757724238214604079143204207742822053446549_<48> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 6.35 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / May 26, 2008)

(19·10¹³³+17)/9 =: 2(1)₁₃₂3_<134>; = 23 · 5113 · 44543 · 432887617 · 1419074221_<10> · 6560662933456950792792661611865203978281706672700277697613438286372579487953284512508791313301886277630637_<106>

(19·10¹³⁴+17)/9 =: 2(1)₁₃₃3_<135>; = 3 · 113 · 43643161 · 2887943029_<10> · 4940905793974018726398627673368401404261105289014573434973270500378033388302777092435594802131214948158784694002143_<115>

(19·10¹³⁵+17)/9 =: 2(1)₁₃₄3_<136>; = 2590723 · 9205354079_<10> · 4123024249815317544848192969_<28> · 21470083011691627549648083404466369736551181287182353992262767784648981141180263307908547381_<92>

(19·10¹³⁶+17)/9 =: 2(1)₁₃₅3_<137>; = 97 · 269 · 389 · 2502211 · 232166479622999161_<18> · 42988088756073048551393_<23> · 7492236702408267501801491339_<28> · 11116150150013450641017176411318126872943475279158003057_<56>

(19·10¹³⁷+17)/9 =: 2(1)₁₃₆3_<138>; = 3 · 7 · 59 · 107 · 3137 · 10378477 · 52018972561_<11> · 257906784564331830598010239861334619288706259471606201_<54> · 3645720115445636970073274698358696904155253499404580769129_<58> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 11.28 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / May 26, 2008)

(19·10¹³⁸+17)/9 =: 2(1)₁₃₇3_<139>; = 57839 · 36499785803888571917064802488132767010340965630649062243661043778611509727192916736304415897769863087382408255867340567975087935668167_<134>

(19·10¹³⁹+17)/9 =: 2(1)₁₃₈3_<140>; = 148731907 · 195982271 · 319074255116019313_<18> · 2269856464420178226327262997109665563828892770452602132981182115883690367871815254047907328027024063465933_<106>

(19·10¹⁴⁰+17)/9 =: 2(1)₁₃₉3_<141>; = 3⁴ · 103142892767_<12> · 1338967039267258903607662253178789037_<37> · 18871954411427858011578814863318916834385230348366099626180972019620251580610578675135514787_<92> (Robert Backstrom / GMP-ECM 6.0 B1=2032000, sigma=3875561415 for P37 / May 26, 2008)

(19·10¹⁴¹+17)/9 =: 2(1)₁₄₀3_<142>; = 16309847789211100851050015566867_<32> · 129437818083599938711580459683226155826039801485374763703300724845803479691240691247961353475510334333140069939_<111> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=884553849 for P32 / May 18, 2008)

(19·10¹⁴²+17)/9 =: 2(1)₁₄₁3_<143>; = 71 · 7109 · 115015969 · 189613733299_<12> · 322231073053166813_<18> · 11861150895327891743346144866743_<32> · 501790053285023603948131322212264157408448417965160016833219189411523_<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P32 x P69 / 3.25 hours on Core 2 Quad Q6700 / May 26, 2008)

(19·10¹⁴³+17)/9 =: 2(1)₁₄₂3_<144>; = 3 · 7² · 51721 · 69073 · 445257779 · 44907917730197_<14> · 7235857084230512962952890011521047_<34> · 2778395777322023419518611783612670148440288856654912472918162716876208274883_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 25.03 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 28, 2008)

(19·10¹⁴⁴+17)/9 =: 2(1)₁₄₃3_<145>; = 15307 · 109831277 · 359677811 · 386378473254296309955379243_<27> · 9035837409850644127857163254927375452769352862158648165245441914270034673864958828851549905126679_<97>

(19·10¹⁴⁵+17)/9 =: 2(1)₁₄₄3_<146>; = 28447 · 41017 · 78028900325725980152501066021599909_<35> · 231875700865027574418442587619581173200268280817376948139532338530122326771487269224347720783283635043_<102> (Robert Backstrom / GMP-ECM 6.0.1 B1=1120000, sigma=3542324101 for P35 / May 26, 2008)

(19·10¹⁴⁶+17)/9 =: 2(1)₁₄₅3_<147>; = 3 · 29 · 577 · 4618129 · 9134558203_<10> · 99692484238061792819772086189880923419510551728291283331979493326362332848243507754525581639407439905657000776326830192494301_<125>

(19·10¹⁴⁷+17)/9 =: 2(1)₁₄₆3_<148>; = 31 · 37987 · 1792727997023694108520241738991447083434410168428682402478191699801469527445391854013818913525689273249771450768905755628717728655143577226429_<142>

(19·10¹⁴⁸+17)/9 =: 2(1)₁₄₇3_<149>; = 36373501 · 102958766380241_<15> · 26224511757071848012274148820403_<32> · 214958808080422153827853526584090210525279684543816668859493746840385486703480148495405135657631_<96> (Jo Yeong Uk / GMP-ECM 6.2 B1=1000000, sigma=773076860 for P32 / May 26, 2008)

(19·10¹⁴⁹+17)/9 =: 2(1)₁₄₈3_<150>; = 3² · 7 · 107465559659018339_<18> · 207366681507770646268378511_<27> · 150370366972858488149370993614907009297807765939491636293624611877255733835059149130525849868218975688019_<105>

(19·10¹⁵⁰+17)/9 =: 2(1)₁₄₉3_<151>; = 831033443153_<12> · 2540344348960741433988376412080072594699248468297955243013636406603704805295957597100974429442621147806671452446818531810575853978108803321_<139>

(19·10¹⁵¹+17)/9 =: 2(1)₁₅₀3_<152>; = 43 · 1277 · 384460510846845096813227060354229773836045803411176469397955074777569359711371330172663238897691011110908763473823297902262044237240463861723718583_<147>

(19·10¹⁵²+17)/9 =: 2(1)₁₅₁3_<153>; = 3 · 356046920829177338700138389053899011999976498823798123_<54> · 197643530258564893467617294435465707705350739812651298588563852360274701722217491033354235201386377_<99> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 16.60 hours on Cygwin on AMD 64 X2 6000+ / May 27, 2008)

(19·10¹⁵³+17)/9 =: 2(1)₁₅₂3_<154>; = 631 · 28080280900663_<14> · 15270966995993801_<17> · 297851429000810929_<18> · 1071730829955083205875392845598093_<34> · 24441526913452149544679014625447927498593580679196528341183377269394693_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 39.96 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / May 28, 2008)

(19·10¹⁵⁴+17)/9 =: 2(1)₁₅₃3_<155>; = 54690521 · 14727770419_<11> · 8607067355632979_<16> · 3820477887669477059297_<22> · 6582933642815515219936766255651_<31> · 2601869793334469797735392158585149_<34> · 46535469162556932033536214337174751_<35> (Makoto Kamada / GMP-ECM 6.2 B1=250000, sigma=2714858574 for P31 / May 21, 2008) (Makoto Kamada / Msieve 1.36 for P34 x P35 / 1.3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹⁵⁵+17)/9 =: 2(1)₁₅₄3_<156>; = 3 · 7 · 23² · 17977 · 1110054283755987536867_<22> · 952301984141442873445322778261134137635399897709828393771455886693390395598634241317237619544396628175342210907642320869424223_<126>

(19·10¹⁵⁶+17)/9 =: 2(1)₁₅₅3_<157>; = 95279 · 521503 · 52179326264306578993_<20> · 814251604143542062021691800900960227145036338630891299899357263720774211308208708154824384961526904556670704368240110594255593_<126>

(19·10¹⁵⁷+17)/9 =: 2(1)₁₅₆3_<158>; = 83 · 5235606853_<10> · 20498480457834864109_<20> · 33856715563926443640902086159_<29> · 70000231852288879322187833488732193626565727486098674059334815489171253629922332713991176041310077_<98>

(19·10¹⁵⁸+17)/9 =: 2(1)₁₅₇3_<159>; = 3² · 2389001987346792021429461539_<28> · 9818656597061992462227258801399852800203962161531292495866296506468409036220479353344707572796527803066885734294026544618148943563_<130>

(19·10¹⁵⁹+17)/9 =: 2(1)₁₅₈3_<160>; = 12497 · 582369490753755763634044705532923835566861195555346804624251_<60> · 290072599328501239090268348704294814519427609152777687487796440289248834506309310228248097076379_<96> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 53.77 hours on Cygwin on AMD 64 3200+ / May 29, 2008)

(19·10¹⁶⁰+17)/9 =: 2(1)₁₅₉3_<161>; = 1091 · 13723 · 321889 · 24546888341483136439651_<23> · 56346892794173538280415510697608311_<35> · 3167121486201706714211853387395270653867058889451744908587689927499196954815248430586933829_<91> (Jo Yeong Uk / GMP-ECM 6.2 B1=1000000, sigma=2910349665 for P35 / May 27, 2008)

(19·10¹⁶¹+17)/9 =: 2(1)₁₆₀3_<162>; = 3 · 7 · 36833 · 1060859273_<10> · 14564381097589_<14> · 4408021099498508159119_<22> · 706991398277505775759368626955089_<33> · 5668225218241225832747085084677390231483282542289051212302192258793615146195383_<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 83.43 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / May 30, 2008)

(19·10¹⁶²+17)/9 =: 2(1)₁₆₁3_<163>; = 31 · 5927 · 31843723 · 360820025598895530112998757461559252484759165604153092007473877359469451556475362190888324076488858789460325058071272617796066664322717593994355716563_<150>

(19·10¹⁶³+17)/9 =: 2(1)₁₆₂3_<164>; = definitely prime number

(19·10¹⁶⁴+17)/9 =: 2(1)₁₆₃3_<165>; = 3 · 17707 · 4052051840400439_<16> · 980776060181107799653976626134512059439567924410086049972297929709058225287220102426305188566860724752589941515548331988806540064418440664224127_<144>

(19·10¹⁶⁵+17)/9 =: 2(1)₁₆₄3_<166>; = 11525993 · 183160887839434841849297592937208196388034515647468388286467908761623498392816229465965414963475260752900952751846293079573370477590183432447955773624980607841_<159>

(19·10¹⁶⁶+17)/9 =: 2(1)₁₆₅3_<167>; = 149 · 16871 · 18719 · 26263 · 91235034150737_<14> · 1483646562805777_<16> · 13744570589082808939500895249451_<32> · 9181925187844308613689501323504921834402655061140134944317112038335879923423752343055882449_<91> (Makoto Kamada / GMP-ECM 6.1.3 B1=50000, sigma=4051721235 for P32 / Jan 19, 2008)

(19·10¹⁶⁷+17)/9 =: 2(1)₁₆₆3_<168>; = 3³ · 7 · 12719167273_<11> · 331020430061825622240821487692762096553201092980731173026412142307290539_<72> · 265299120281487299747115556364341636867465798157268399080428918610074877812977268511_<84> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 86.64 hours on Cygwin on AMD 64 3400+ / Jun 9, 2008)

(19·10¹⁶⁸+17)/9 =: 2(1)₁₆₇3_<169>; = 227487177154295025504685455361271692724662216695338616060397175372579537_<72> · 9280132346445324494177855519611117213830193530355304266419412531346231676756164736608771764227449_<97> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 99.00 hours on Core 2 Quad Q6700 / May 30, 2008)

(19·10¹⁶⁹+17)/9 =: 2(1)₁₆₈3_<170>; = 202343 · 11854813632301944696197779784107475828959_<41> · 989586227294571474744567542974907856207448937_<45> · 8893537356585734852905220128099726473408062960442837007302516244982560116409577_<79> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 131.75 hours on Cygwin on AMD 64 3400+ / Jul 7, 2008)

(19·10¹⁷⁰+17)/9 =: 2(1)₁₆₉3_<171>; = 3 · 1733 · 2521 · 93779232098187967_<17> · 171755936262646283840925880814667000800556800991984090272590397707987840902546764882910091306910850713654423980928347297819175634851229626464320641_<147>

(19·10¹⁷¹+17)/9 =: 2(1)₁₇₀3_<172>; = 31633729472340713_<17> · 291104186737583782427_<21> · 6438741037805110785691_<22> · 8577629963433708883037_<22> · 730838499256988735456103400088494610213_<39> · 5679662912466728551265886075488345660885194579796953_<52> (Sinkiti Sibata / Msieve v. 1.35 for P39 x P52 / 3.11 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 26, 2008)

(19·10¹⁷²+17)/9 =: 2(1)₁₇₁3_<173>; = 43 · 707648759 · 1753889176149977_<16> · 395569445590224778723865190613007308351503676506631234537089782319461887150061416402835660151791785852238063415087471034083939115474311178857080837_<147>

(19·10¹⁷³+17)/9 =: 2(1)₁₇₂3_<174>; = 3 · 7 · 11908775400215661195548462282129043797_<38> · 826889165198643841886538166294656560201100292366830050189_<57> · 1020886335567388225849072357898453571339187176611699612014911899812973186198741_<79> (Robert Backstrom / GMP-ECM 6.1.3 B1=4290000, sigma=905570794 for P38, GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 / 96.48 hours / Jun 20, 2008)

(19·10¹⁷⁴+17)/9 =: 2(1)₁₇₃3_<175>; = 29 · 47 · 587 · 47210167 · [55890963665493588528041857534327803251081190560875879538353190707073005751383256471682506497937951215272065561923780848354291255793416985516773684318071368378319_<161>] SUBMIT/RESERVE

(19·10¹⁷⁵+17)/9 =: 2(1)₁₇₄3_<176>; = definitely prime number

(19·10¹⁷⁶+17)/9 =: 2(1)₁₇₅3_<177>; = 3² · 167 · 1543 · 53611 · 2401409 · 974819639393790407634579313_<27> · 4956648204881915050768672150327_<31> · 146336874948973085318917842213648178095098263874900615495508640162228819919842162403788352528350133653_<102> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2131237211 for P31 / Aug 28, 2008)

(19·10¹⁷⁷+17)/9 =: 2(1)₁₇₆3_<178>; = 23 · 31 · 61 · 71 · 9467 · 10427 · 184774558729_<12> · 255689525809_<12> · 346578832807007_<15> · 317590097337318187_<18> · 17542081602685043759746865753_<29> · 75920035349464889747790194504704749340939097696069408194717411938141329208931327_<80>

(19·10¹⁷⁸+17)/9 =: 2(1)₁₇₇3_<179>; = 37798653795394244396057963_<26> · 558514893820993545892162008932741970152609988261109097407991096735931090558354024017330926014165344227927132584994772736340637918861395181399962103185051_<153>

(19·10¹⁷⁹+17)/9 =: 2(1)₁₇₈3_<180>; = 3 · 7 · 1849590095332545517981729396507306427776395737285843_<52> · 1590976674832112443983760714051680873712445958345760173293_<58> · 3416272406688343554143889986701948138927926610009907327005065997766947_<70> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 552.22 hours / Jun 20, 2008)

(19·10¹⁸⁰+17)/9 =: 2(1)₁₇₉3_<181>; = 109 · 128903 · 150252452193169012664961079909607808439637536361785382829369606426275237835199678352203182943202445812580009925044349976773738699265944808019792644815072959071714412032539019_<174>

(19·10¹⁸¹+17)/9 =: 2(1)₁₈₀3_<182>; = 17644366090639159477_<20> · 381518623009260368039_<21> · 41926580343033277913682486336139_<32> · 74799698613598121493227591965970482485733847740707891290258360311530129821940045107164135003925638821055863289_<110> (Makoto Kamada / GMP-ECM 6.2 B1=250000, sigma=2551276064 for P32 / May 23, 2008)

(19·10¹⁸²+17)/9 =: 2(1)₁₈₁3_<183>; = 3 · 2579 · 10837 · 119359 · 3303787432680509883023_<22> · 3778542074508278308871_<22> · 1689810056469802754584897315540933135257896526286374765285893208277021300758681180485582804828076563778415464681432365774810491_<127>

(19·10¹⁸³+17)/9 =: 2(1)₁₈₂3_<184>; = 111121 · 1808003 · 5293942426929243304651082837_<28> · [1984890667496387256870411175471933284050200335950517385834596344837553401026841243318222312796551001048959066291777342172798830826277282063934023_<145>] SUBMIT/RESERVE

(19·10¹⁸⁴+17)/9 =: 2(1)₁₈₃3_<185>; = 39227 · 823547 · 434385278497_<12> · 13645854488475905831_<20> · 35187213663775580933321_<23> · 3133119027804156062174550511125014416842458471288273047776207132459510680040483549860254455646455851068653739886963288591_<121>

(19·10¹⁸⁵+17)/9 =: 2(1)₁₈₄3_<186>; = 3² · 7² · 619 · 28871 · 26786750114361775454400753636383299004533348436447437497890914389737370258869437451045371695790397117856466414514334310063382073458735222873824679663214376876257795263591914357_<176>

(19·10¹⁸⁶+17)/9 =: 2(1)₁₈₅3_<187>; = 193 · 7753679 · 198110551 · [7120956933892030559550889375721002788821311212558870692311390576490684874593789704365357401809474449816390966672154153108898907541652255752500175620910826813810957793329_<169>] SUBMIT/RESERVE

(19·10¹⁸⁷+17)/9 =: 2(1)₁₈₆3_<188>; = 93888601 · 20409552461577403679_<20> · [11017035326423074443541509309924098365014391520228740949533024370816428288295251811330117259879655770933570413699176892820578910511289625910596407155849541681647_<161>] SUBMIT/RESERVE

(19·10¹⁸⁸+17)/9 =: 2(1)₁₈₇3_<189>; = 3 · 191 · 1009 · 43586829788805481_<17> · [8377414821582387351215945732876035463194324251866689047628437905548892325816290640700907140255377995997684110182068592241881410442070504829578291593988872271827704389_<166>] SUBMIT/RESERVE

(19·10¹⁸⁹+17)/9 =: 2(1)₁₈₈3_<190>; = 186609193 · 4230864132437_<13> · 1841853104725919_<16> · [1451757195999171062998543623607918262099819163512582489952603270667798599083329068297680721046143776056978385823051296635589608690824965700977535230167747_<154>] SUBMIT/RESERVE

(19·10¹⁹⁰+17)/9 =: 2(1)₁₈₉3_<191>; = 107 · 181 · 46507 · 470453 · 36224005811316473_<17> · 1375364138188469338046378946092708316221275948085360436112356203465258290135990674732809817454529609176166882353386038983083149016817271766598358170443143881633_<160>

(19·10¹⁹¹+17)/9 =: 2(1)₁₉₀3_<192>; = 3 · 7 · 1627 · 5159821878045688607762327346221433523_<37> · 1197483489481970933197735726304293294387797401694296550112736151012667802612072712189611721185927094362433494974127049810061666990228118386344080983493_<151> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2833440132 for P37 / Sep 2, 2009)

(19·10¹⁹²+17)/9 =: 2(1)₁₉₁3_<193>; = 31 · 1242889 · 41040003549532193923_<20> · 15253228975026497112291313_<26> · 87528175109945841103810062633261831531269030689772987950528125716918497673901531037141449466576812336808349746973563536606702893574357749893_<140>

(19·10¹⁹³+17)/9 =: 2(1)₁₉₂3_<194>; = 43 · 571 · 1632355094902684148047_<22> · [526734650317507899326961834152685869264931016049877393207557019564396397492617433768572633449938812933129889238539056588774208807053655547200438743311932130699409422543_<168>] SUBMIT/RESERVE

(19·10¹⁹⁴+17)/9 =: 2(1)₁₉₃3_<195>; = 3³ · 1117309201_<10> · [6998000226037933947422667566324758155421529885428372756968757873096816442027668138588012971310224961161486674107259984116306739772025476964572174101574747960566296114239232110524233019_<184>] SUBMIT/RESERVE

(19·10¹⁹⁵+17)/9 =: 2(1)₁₉₄3_<196>; = 59 · 1267577 · 158612774241033861923_<21> · 282503324001414019100503379652927974071_<39> · 629974551490611084435937066618096229596276276489387128835727689298806791822488193421449041113663483875019510871892831411163366727_<129> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2969301091 for P39 / Jul 14, 2008)

(19·10¹⁹⁶+17)/9 =: 2(1)₁₉₅3_<197>; = 431 · 1014469123_<10> · [48283082454627706205987977615616200870462481065142701767158963794419938095572042480574605678716644840982867969397953743748956885166483820268809818578825660135623854141854755260669270701_<185>] SUBMIT/RESERVE

(19·10¹⁹⁷+17)/9 =: 2(1)₁₉₆3_<198>; = 3 · 7 · 90017 · 189037603483_<12> · 1167987135194728007608387_<25> · 130987118004416341717932217759037_<33> · 15872932989461007548410407402377925558623951734243828910973433_<62> · 243273738880783002227362363624452946028222802288282346250262049_<63> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=3671506003 for P33 / Oct 21, 2008) (Erik Branger / GGNFS, Msieve gnfs for P62 x P63 / 99.47 hours / Sep 30, 2009)

(19·10¹⁹⁸+17)/9 =: 2(1)₁₉₇3_<199>; = 83 · 20610016199011393121113_<23> · 1234112257954691178243438505202353798438318066522253057018566033588408262728846850879340625535894283549652941303487046954243790163187509653908579552787769448227667733151496747_<175>

(19·10¹⁹⁹+17)/9 =: 2(1)₁₉₈3_<200>; = 23 · 4787 · 4995283 · 4189034999_<10> · 599249691149_<12> · 15291071630016161015604402610188370299879457691019258489274011949661059937263325364094019386881409517529337334514947089719382911957941325477195944972031685517222455061_<167>

(19·10²⁰⁰+17)/9 =: 2(1)₁₉₉3_<201>; = 3 · 126544763 · 2943578385629665516163_<22> · 898447831098242238266148503_<27> · 210269939678342336529513921152874898053927458055258874398493904056791369753272627555998930381253413935650920678917164241827912150245681803371653_<144> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2082085495 for P27 / Oct 21, 2008)

4. References

A102948 (On-Line Encyclopedia of Integer Sequences)