Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 10¹+3 = 13 is prime. (Makoto Kamada / Aug 18, 2003)
2. 10²+3 = 103 is prime. (Makoto Kamada / Aug 18, 2003)
3. 10⁵+3 = 100003 is prime. (Makoto Kamada / Aug 18, 2003)
4. 10⁶+3 = 1000003 is prime. (Makoto Kamada / Aug 18, 2003)
5. 10¹¹+3 = 1(0)₁₀3_<12> is prime. (Makoto Kamada / Aug 18, 2003)
6. 10¹⁷+3 = 1(0)₁₆3_<18> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
7. 10¹⁸+3 = 1(0)₁₇3_<19> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
8. 10³⁹+3 = 1(0)₃₈3_<40> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
9. 10⁵⁶+3 = 1(0)₅₅3_<57> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
10. 10¹⁰¹+3 = 1(0)₁₀₀3_<102> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
11. 10¹⁰⁵+3 = 1(0)₁₀₄3_<106> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
12. 10¹⁰⁷+3 = 1(0)₁₀₆3_<108> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
13. 10¹²³+3 = 1(0)₁₂₂3_<124> is prime. (Makoto Kamada / PPSIQS / Aug 18, 2003)
14. 10⁴¹³+3 = 1(0)₄₁₂3_<414> is prime. (searched by Makoto Kamada / Aug 18, 2003) (certified by Julien Peter Benney / http://www.alpertron.com.ar/ECM.HTM / Dec 6, 2004)
15. 10⁴²⁶+3 = 1(0)₄₂₅3_<427> is prime. (searched by Makoto Kamada / Aug 18, 2003) (certified by Julien Peter Benney / http://www.alpertron.com.ar/ECM.HTM / Dec 6, 2004)
16. 10²⁶⁰⁷+3 = 1(0)₂₆₀₆3_<2608> is PRP. (Makoto Kamada / Aug 18, 2003)
17. 10⁷⁶⁶⁸+3 = 1(0)₇₆₆₇3_<7669> is PRP. (Makoto Kamada / PFGW / Dec 27, 2004)
18. 10¹⁰⁴⁷⁰+3 = 1(0)₁₀₄₆₉3_<10471> is PRP. (Milton L. Brown / Apr 2002)
19. 10¹¹⁰²¹+3 = 1(0)₁₁₀₂₀3_<11022> is PRP. (Milton L. Brown / Apr 2002)
20. 10¹⁷⁷⁵³+3 = 1(0)₁₇₇₅₂3_<17754> is PRP. (Milton L. Brown / Apr 2002)
21. 10²⁶⁹²⁷+3 = 1(0)₂₆₉₂₆3_<26928> is PRP. (Jason Earls / Dec 2007)

• 1-10000

• Henri & Renaud Lifchitz's PRP Top records (www.primenumbers.net)
• A049054 (On-Line Encyclopedia of Integer Sequences)
• Numbers b^n +/- (b-1) (Wojciech Florek)

Condition

Status

Factorization results

10¹+3 =

13

= definitely prime number

10²+3 =

103

= definitely prime number

10³+3 =

1003

= 17 · 59

10⁴+3 =

10003

= 7 · 1429

10⁵+3 =

100003

= definitely prime number

10⁶+3 =

1000003

= definitely prime number

10⁷+3 =

10000003

= 13 · 769231

10⁸+3 =

100000003

= 643 · 155521

10⁹+3 =

1000000003_<10>

= 23 · 307 · 141623

10¹⁰+3 =

10000000003_<11>

= 7 · 1428571429_<10>

10¹¹+3 =

100000000003_<12>

= definitely prime number

10¹²+3 =

1000000000003_<13>

= 61 · 14221 · 1152763

10¹³+3 =

10000000000003_<14>

= 13 · 29 · 547 · 48492137

10¹⁴+3 =

100000000000003_<15>

= 19 · 31 · 613 · 276964579

10¹⁵+3 =

1000000000000003_<16>

= 14902357 · 67103479

10¹⁶+3 =

10000000000000003_<17>

= 7 · 1428571428571429_<16>

10¹⁷+3 =

100000000000000003_<18>

= definitely prime number

10¹⁸+3 =

1000000000000000003_<19>

= definitely prime number

10¹⁹+3 =

10000000000000000003_<20>

= 13 · 17 · 43 · 18679 · 56335953419_<11>

10²⁰+3 =

100000000000000000003_<21>

= 373 · 155773 · 1721071782307_<13>

10²¹+3 =

1000000000000000000003_<22>

= 67 · 14925373134328358209_<20>

10²²+3 =

10000000000000000000003_<23>

= 7 · 157 · 601 · 1031137 · 14682887281_<11>

10²³+3 =

100000000000000000000003_<24>

= 113 · 3049 · 290244589115247419_<18>

10²⁴+3 =

1000000000000000000000003_<25>

= 3529 · 821461 · 838069 · 411605923

10²⁵+3 =

10000000000000000000000003_<26>

= 13 · 7668629 · 100308773475776339_<18>

10²⁶+3 =

100000000000000000000000003_<27>

= 223 · 161377320703_<12> · 2778770221987_<13>

10²⁷+3 =

1000000000000000000000000003_<28>

= 813219713 · 1229679979486675331_<19>

10²⁸+3 =

10000000000000000000000000003_<29>

= 7 · 199 · 571 · 89779 · 140035456540965619_<18>

10²⁹+3 =

100000000000000000000000000003_<30>

= 31 · 10928153 · 295183134022089846821_<21>

10³⁰+3 =

1000000000000000000000000000003_<31>

= 1859827 · 537684419034673655130289_<24>

10³¹+3 =

10000000000000000000000000000003_<32>

= 13 · 23 · 1453 · 17021 · 1352315810743633261969_<22>

10³²+3 =

100000000000000000000000000000003_<33>

= 19 · 6271 · 839285264668608213245600047_<27>

10³³+3 =

1000000000000000000000000000000003_<34>

= 151 · 439 · 66883 · 5338459457_<10> · 42250012204817_<14>

10³⁴+3 =

10000000000000000000000000000000003_<35>

= 7² · 210019 · 971729379975436624732980913_<27>

10³⁵+3 =

100000000000000000000000000000000003_<36>

= 17 · 26793961 · 219540251670011409967913819_<27>

10³⁶+3 =

1000000000000000000000000000000000003_<37>

= 103 · 922639 · 3480881723167_<13> · 3023024732613877_<16>

10³⁷+3 =

10000000000000000000000000000000000003_<38>

= 13 · 769230769230769230769230769230769231_<36>

10³⁸+3 =

100000000000000000000000000000000000003_<39>

= 76417717 · 50954499311257_<14> · 25681678366581487_<17>

10³⁹+3 =

1000000000000000000000000000000000000003_<40>

= definitely prime number

10⁴⁰+3 =

10000000000000000000000000000000000000003_<41>

= 7 · 43 · 661 · 50261106447997346213579545740119923_<35>

10⁴¹+3 =

100000000000000000000000000000000000000003_<42>

= 29 · 47 · 149 · 1046191 · 470659572629542911224468953859_<30>

10⁴²+3 =

1000000000000000000000000000000000000000003_<43>

= 9865301191_<10> · 101365379590466879644202035797733_<33>

10⁴³+3 =

10000000000000000000000000000000000000000003_<44>

= 13 · 769230769230769230769230769230769230769231_<42>

10⁴⁴+3 =

100000000000000000000000000000000000000000003_<45>

= 31 · 2293 · 5113 · 275142993946312101483059532532768657_<36>

10⁴⁵+3 =

1000000000000000000000000000000000000000000003_<46>

= 2621 · 26190869 · 202758977 · 2039334898823_<13> · 35230144787557_<14>

10⁴⁶+3 =

10000000000000000000000000000000000000000000003_<47>

= 7 · 44029 · 774717324390885241_<18> · 41881272672179231514961_<23>

10⁴⁷+3 =

100000000000000000000000000000000000000000000003_<48>

= 397 · 198266889049_<12> · 1270455041555076682580419086613351_<34>

10⁴⁸+3 =

1000000000000000000000000000000000000000000000003_<49>

= 4378837 · 69080527 · 1127952811_<10> · 2930857126525877256434827_<25>

10⁴⁹+3 =

10000000000000000000000000000000000000000000000003_<50>

= 13 · 464459 · 551342479 · 5952808865209_<13> · 504621641480758757819_<21>

10⁵⁰+3 =

100000000000000000000000000000000000000000000000003_<51>

= 19 · 97 · 283 · 994327748569_<12> · 61236769827829_<14> · 3148809563627188687_<19>

10⁵¹+3 =

1000000000000000000000000000000000000000000000000003_<52>

= 17 · 3187 · 1353383 · 13637925013200840085919638391816980569079_<41>

10⁵²+3 =

10000000000000000000000000000000000000000000000000003_<53>

= 7 · 5290477824748729_<16> · 270026919286686265519817460570276301_<36>

10⁵³+3 =

100000000000000000000000000000000000000000000000000003_<54>

= 23 · 4116417953254772568899_<22> · 1056215898465504263474971028839_<31>

10⁵⁴+3 =

1000000000000000000000000000000000000000000000000000003_<55>

= 67 · 14925373134328358208955223880597014925373134328358209_<53>

10⁵⁵+3 =

10000000000000000000000000000000000000000000000000000003_<56>

= 13 · 2290143001_<10> · 3696549175591577_<16> · 90865194024447148790098749503_<29>

10⁵⁶+3 =

100000000000000000000000000000000000000000000000000000003_<57>

= definitely prime number

10⁵⁷+3 =

1000000000000000000000000000000000000000000000000000000003_<58>

= 2448952313317_<13> · 113619994412549_<15> · 3593891055967117960201170304091_<31>

10⁵⁸+3 =

10000000000000000000000000000000000000000000000000000000003_<59>

= 7 · 1033 · 1382934587194025722583321808878440049785645138984926013_<55>

10⁵⁹+3 =

100000000000000000000000000000000000000000000000000000000003_<60>

= 31² · 104058272632674297606659729448491155046826222684703433923_<57>

10⁶⁰+3 =

1000000000000000000000000000000000000000000000000000000000003_<61>

= 193² · 3171548632838023_<16> · 33362320576752631_<17> · 253721783490136061838019_<24>

10⁶¹+3 =

10000000000000000000000000000000000000000000000000000000000003_<62>

= 13 · 43² · 59 · 131 · 167 · 4656167 · 279376131961211_<15> · 247777638479293206997639471109_<30>

10⁶²+3 =

100000000000000000000000000000000000000000000000000000000000003_<63>

= 163 · 9661 · 4092282467463097_<16> · 120127553010300307_<18> · 129176073645540570328399_<24>

10⁶³+3 =

1000000000000000000000000000000000000000000000000000000000000003_<64>

= 99582738067633474259_<20> · 2279800480953691053649_<22> · 4404728007638875844033_<22>

10⁶⁴+3 =

10000000000000000000000000000000000000000000000000000000000000003_<65>

= 7 · 5676423007_<10> · 36627147032611375348033_<23> · 6871065942231129106260647628859_<31>

10⁶⁵+3 =

100000000000000000000000000000000000000000000000000000000000000003_<66>

= 613 · 34625917 · 168988305737_<12> · 27879282336387712355695204432176867365129339_<44>

10⁶⁶+3 =

1000000000000000000000000000000000000000000000000000000000000000003_<67>

= 52234229988717651520074139707847_<32> · 19144534153485086423317835475736549_<35>

10⁶⁷+3 =

10000000000000000000000000000000000000000000000000000000000000000003_<68>

= 13² · 17 · 18699520487_<11> · 1300152148179033332753_<22> · 143165945597753855112098594619101_<33>

10⁶⁸+3 =

100000000000000000000000000000000000000000000000000000000000000000003_<69>

= 19 · 8269 · 25867 · 1008934873_<10> · 24388450615853296712957638559087522557098904525303_<50>

10⁶⁹+3 =

1000000000000000000000000000000000000000000000000000000000000000000003_<70>

= 29 · 797489219 · 9278852153_<10> · 56916658697_<11> · 81873532684973362089980292505983625333_<38>

10⁷⁰+3 =

10000000000000000000000000000000000000000000000000000000000000000000003_<71>

= 7 · 103 · 13869625520110957004160887656033287101248266296809986130374479889043_<68>

10⁷¹+3 =

100000000000000000000000000000000000000000000000000000000000000000000003_<72>

= 1398779 · 10900801759_<11> · 6558317755506364692997595133084191555668163745537318023_<55>

10⁷²+3 =

1000000000000000000000000000000000000000000000000000000000000000000000003_<73>

= 61 · 72103 · 349051 · 14120947 · 928059349171_<12> · 102778173667843_<15> · 483601316311322078135288401_<27>

10⁷³+3 =

10000000000000000000000000000000000000000000000000000000000000000000000003_<74>

= 13 · 5527003 · 37830550701787_<14> · 3678953376089882824379299271733196192314658634813671_<52>

10⁷⁴+3 =

100000000000000000000000000000000000000000000000000000000000000000000000003_<75>

= 31 · 9619 · 2600441047_<10> · 227647200762466824679_<21> · 566498878475024033576724763236475512079_<39>

10⁷⁵+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000003_<76>

= 23 · 1228340719_<10> · 235122042143_<12> · 231740870573890406759791_<24> · 649616931789157865019702753163_<30>

10⁷⁶+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000003_<77>

= 7² · 657565957 · 4583778702733702837221245869057_<31> · 67708151357480212958271175141825303_<35>

10⁷⁷+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000003_<78>

= 185554311496620532371770351611143673123_<39> · 538925768921415130739706333069119686561_<39>

10⁷⁸+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000003_<79>

= 37657 · 82507 · 1174699424012203549_<19> · 273991272661126875657939650707603352993489342536453_<51>

10⁷⁹+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000003_<80>

= 13 · 11273 · 68236562514926748050140226135968174467243038164709414598530184443428477847_<74>

10⁸⁰+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000003_<81>

= 130960381 · 87144781633537_<14> · 3455312701687993075561_<22> · 2535895350921026674019960278106110759_<37>

10⁸¹+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000003_<82>

= 1759 · 28477 · 572435189 · 3777480038153_<13> · 9232332226415328725291695187328474787743613722899413_<52>

10⁸²+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000003_<83>

= 7 · 43 · 109 · 12973 · 872912117122274214886393_<24> · 26915104249006886077344416513524151206136145229903_<50>

10⁸³+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000003_<84>

= 17 · 6133 · 23823584851228754531_<20> · 40259743299929784472838712049504899249693041902211136407533_<59>

10⁸⁴+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<85>

= 29059 · 152199469 · 3464655614694615820134361459503031_<34> · 65259858139040767607584620036276601603_<38>

10⁸⁵+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<86>

= 13 · 19471 · 29063 · 1848031 · 735561004054368499805948808599092871902963794530535645906012138636137_<69>

10⁸⁶+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<87>

= 19 · 997 · 967681309615663_<15> · 5455303132259154458842540374893027723704662896639359296193937202067_<67>

10⁸⁷+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<88>

= 47 · 67 · 824281 · 625148401 · 616267018056359185441747698615843643683296258084651274651119987076887_<69>

10⁸⁸+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<89>

= 7 · 12097 · 15968813857743312100267_<23> · 7395228897021612341523232889578455213960269146595764004311471_<61>

10⁸⁹+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<90>

= 31 · 3253 · 8803 · 751414214574205487_<18> · 149914670527656837997920618197642940784707574042657246252776461_<63>

10⁹⁰+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<91>

= 166303 · 403895669461_<12> · 8974986752701_<13> · 1658810987591830795547164323164711490089752199766030492869341_<61>

10⁹¹+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<92>

= 13 · 1223 · 611557 · 53040230332956067_<17> · 3920505864836767714747_<22> · 4945904653788016124568903613721692237248629_<43>

10⁹²+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<93>

= 841801 · 211480670972866622535223234753759_<33> · 561719994649737610867659787910638005737532777151667317_<54>

10⁹³+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<94>

= 419 · 5459780369426989258506416918868167807_<37> · 437130192678284489192380500009849205232710912361559391_<54>

10⁹⁴+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<95>

= 7 · 487606042003_<12> · 2929765641752731346391547040207212875979805414190271980235225659141284583284855143_<82>

10⁹⁵+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<96>

= 718809580057632062928074197_<27> · 15232652842182146291582535453277_<32> · 9132939882670122379669592086842575587_<37>

10⁹⁶+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<97>

= 1861 · 537345513164965072541644277270284793121977431488447071466953250940354648038688876947877485223_<93>

10⁹⁷+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<98>

= 13 · 23² · 29 · 24702593883547_<14> · 441830682536309401_<18> · 4594143404942642691414177378188955640856825123859977753777753_<61>

10⁹⁸+3 =

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<99>

= 105199 · 135288787 · 5127030864793921_<16> · 378919599206831707_<18> · 3616709145802705022310102159175743619073157102612973_<52>

10⁹⁹+3 =

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<100>

= 17² · 48012016357931_<14> · 3591932541314891_<16> · 20064301263767150482328850050963655988361397950026433927658752114587_<68>

10¹⁰⁰+3 =

10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<101>

= 7 · 157 · 769 · 2593 · 4888946572366141_<16> · 220030935994058489226133_<24> · 4242036622639156527888055237578804493024993216233097_<52>

10¹⁰¹+3 =

1(0)₁₀₀3_<102>

= definitely prime number

10¹⁰²+3 =

1(0)₁₀₁3_<103>

= 3607 · 47195391205577821_<17> · 45302831818536160855154483046504027523_<38> · 129666837065959683061728546755551575657543763_<45>

10¹⁰³+3 =

1(0)₁₀₂3_<104>

= 13 · 43 · 10239241 · 7613030996929_<13> · 262672352803304881_<18> · 3901043612090232438007885999_<28> · 223958556307693271700171647119569787_<36>

10¹⁰⁴+3 =

1(0)₁₀₃3_<105>

= 19 · 31 · 103 · 547 · 44938046971_<11> · 715368493807944331_<18> · 93738101034940412233498319251111560705584994159001501753738976257147_<68>

10¹⁰⁵+3 =

1(0)₁₀₄3_<106>

= definitely prime number

10¹⁰⁶+3 =

1(0)₁₀₅3_<107>

= 7 · 487 · 18217 · 3004695654536743_<16> · 369038951254272125569_<21> · 56380971921971609399701_<23> · 2575673952122780047666529547878651245753_<40>

10¹⁰⁷+3 =

1(0)₁₀₆3_<108>

= definitely prime number

10¹⁰⁸+3 =

1(0)₁₀₇3_<109>

= 151 · 1025890507_<10> · 15552298759_<11> · 415075835864390811706575139824651136151900801150981162208964016615508906209576156217481_<87>

10¹⁰⁹+3 =

1(0)₁₀₈3_<110>

= 13 · 636095471381_<12> · 2307896264990110210061_<22> · 45166631624534007464908544083639_<32> · 11601131675497996544648457184208378700687769_<44>

10¹¹⁰+3 =

1(0)₁₀₉3_<111>

= 229 · 839917615309_<12> · 519909589640850094073814039254973724161101539472144569857404667889667108322520021230643073367523_<96>

10¹¹¹+3 =

1(0)₁₁₀3_<112>

= 22483 · 3811103616383696520035255018963138889550371472027_<49> · 11670648336895389594887395705639732998619139278066767263683_<59> (Makoto Kamada / GGNFS-0.77.1-20060513-pentium4 / 1.46 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 30, 2006)

10¹¹²+3 =

1(0)₁₁₁3_<113>

= 7 · 7759985029_<10> · 772109420162542201_<18> · 238430728361600896205676276007090671265907651946134091671888880076349641192040039401_<84>

10¹¹³+3 =

1(0)₁₁₂3_<114>

= 96377 · 884609083918355948907037_<24> · 3775584003451138071930047_<25> · 310664096228408853908793998882075472743889042019497036205801_<60>

10¹¹⁴+3 =

1(0)₁₁₃3_<115>

= 3134188330252503582947429542915803128154373300081462177_<55> · 319061873323813867242565512269308619907572321217170192386339_<60> (Wojciech Florek / GGNFS 0.77 / May 26, 2006)

10¹¹⁵+3 =

1(0)₁₁₄3_<116>

= 13 · 17 · 643 · 13188252227537_<14> · 5335922447296667088377467035279126307518701118577120313195503748865958864729990739390888237574373_<97>

10¹¹⁶+3 =

1(0)₁₁₅3_<117>

= 613 · 5581 · 31409912863227233240324396659219_<32> · 285562837995982349446361585842661944753_<39> · 3258810312307206854209463561699139379393_<40> (Makoto Kamada / GGNFS-0.77.1-20060513-pentium4 / 1.75 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 30, 2006)

10¹¹⁷+3 =

1(0)₁₁₆3_<118>

= 136817541953_<12> · 12510399765769_<14> · 298112920074737523999596067065580070878142999_<45> · 1959775076019992331799342558898554074566826611021_<49> (Wojciech Florek)

10¹¹⁸+3 =

1(0)₁₁₇3_<119>

= 7³ · 64141747 · 8460920724818143_<16> · 37627526900440243622059_<23> · 6147335446609049443147009_<25> · 232249550665794760809639124801272942935386171_<45>

10¹¹⁹+3 =

1(0)₁₁₈3_<120>

= 23 · 31 · 59 · 248188250596361555852063_<24> · 9578053105495890596842936195802739350968036547539923449027221708789738588593789339062558543_<91>

10¹²⁰+3 =

1(0)₁₁₉3_<121>

= 67 · 39680844683922630781_<20> · 376135469222398560079179371798099236539177092583429173601100734182099447630758605255815436349312789_<99>

10¹²¹+3 =

1(0)₁₂₀3_<122>

= 13 · 198529 · 11787899 · 328697413420232835842838763773057913404777878180108321518328556605098171968410977813814875910384258521686461_<108>

10¹²²+3 =

1(0)₁₂₁3_<123>

= 19 · 749013296450169739_<18> · 7026788335642034629781710534573805278538763744803035551030475665043109854334080750234026493336617617683_<103>

10¹²³+3 =

1(0)₁₂₂3_<124>

= definitely prime number

10¹²⁴+3 =

1(0)₁₂₃3_<125>

= 7 · 43 · 8179 · 23257479000261691_<17> · 278215836815846300810499872638251601851541_<42> · 627753020605636868785440299879864836902467148030812554348147_<60> (Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4 / 2.02 hours on P4 3GHz Windows XP / May 30, 2006)

10¹²⁵+3 =

1(0)₁₂₄3_<126>

= 29 · 134227 · 23220877 · 1106326971538334438867518468448025343661281698202433005785938239861995100495925767257721870777151883601441849433_<112>

10¹²⁶+3 =

1(0)₁₂₅3_<127>

= 523 · 219931704421459_<15> · 225003335227519500209690385071854069954197019410358111_<54> · 38638611863595333536671213995256267949387191415100091789_<56> (Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4 / 2.71 hours on P4 3GHz Windows XP / May 31, 2006)

10¹²⁷+3 =

1(0)₁₂₆3_<128>

= 13 · 199 · 638775037 · 25596248216009142869_<20> · 63794643459287914893525823561863799_<35> · 3705912046848417713402452698842458642593478627187305412395727_<61> (Wojciech Florek)

10¹²⁸+3 =

1(0)₁₂₇3_<129>

= 186343 · 4114753 · 8960737 · 37317079753_<11> · 390024388698374486765920482240083068007743207676668137869753828120978424340683726317512954051205437_<99>

10¹²⁹+3 =

1(0)₁₂₈3_<130>

= 461 · 1145215219399_<13> · 4145408950427364383_<19> · 456924644778583027708225854452808686591429254518198104098687511713953580652663014164092355599719_<96>

10¹³⁰+3 =

1(0)₁₂₉3_<131>

= 7 · 1428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429_<130>

10¹³¹+3 =

1(0)₁₃₀3_<132>

= 17 · 1217 · 4833486393735801633718401082700952196819565952921842525013292087582773454492725602977427618541253806370535066943786553240852627_<127>

10¹³²+3 =

1(0)₁₃₁3_<133>

= 61 · 16393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442623_<131>

10¹³³+3 =

1(0)₁₃₂3_<134>

= 13 · 47 · 61703 · 72889247 · 3639058575109244558355057256396438365587852122206128077113294862579491665346223461086019747590875212236105731835236553_<118>

10¹³⁴+3 =

1(0)₁₃₃3_<135>

= 31 · 4969 · 455811127 · 498011242961708985877_<21> · 2859863067852942661391401933101049364560407006220687090992890725892249273035398773184745005105065863_<100>

10¹³⁵+3 =

1(0)₁₃₄3_<136>

= 113 · 209694391 · 3187745395872205735627_<22> · 4126491370074199286802782631529_<31> · 3208264562687349553112271518304371303840051419576548379085824235751916727_<73> (Alexander Mkrtychyan / GGNFS-0.77.1-20060513-pentium4 / 5.14 hours on Pentium 4 3GHz, Windows XP / Jun 1, 2006)

10¹³⁶+3 =

1(0)₁₃₅3_<137>

= 7 · 937 · 13513 · 13696021 · 8237893614348792654198704368822657104312327012462025313705888966854598169349530317756164727430103513498190475893850493729_<121>

10¹³⁷+3 =

1(0)₁₃₆3_<138>

= 485528403184829992818506125204327553_<36> · 148422974169957271956708475508014083532747879_<45> · 1387663704324682066869289940523411644503592736304905992069_<58> (Makoto Kamada / GGNFS-0.77.1-20060513-pentium4 / 8.57 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 31, 2006)

10¹³⁸+3 =

1(0)₁₃₇3_<139>

= 103 · 990513749998083607_<18> · 34585142462197870945875655226509_<32> · 515100320152004920978466573096213025512461_<42> · 550200369707475541148787748643398354924032907_<45> (Bryan Koen / GMP-ECM 6.1 for P32 / Jun 2, 2006) (Bryan Koen / GGNFS-0.77.1-20060513-pentium3 / 21.08 hours on Pentium 3 - Fedora Core ? / Jun 4, 2006)

10¹³⁹+3 =

1(0)₁₃₈3_<140>

= 13 · 327203583643_<12> · 21557806404758500426320572531_<29> · 1048720107311272779271661501804277089838257303_<46> · 103985894904565220127485054041767990985479311662142569_<54> (Wojciech Florek) (Wojciech Florek / Msieve v. 1.03 for P46 x P54 / 07:49:33 on Pentium III 936MHz (overclocked) cache 256 KB Linux (Fedora 2) / May 30, 2006)

10¹⁴⁰+3 =

1(0)₁₃₉3_<141>

= 19 · 35053 · 12125477491_<11> · 79437562891_<11> · 95807951003203_<14> · 3561333108430689643_<19> · 456859116200220409626925655159773597547335323554537464425519463600293608389774021_<81>

10¹⁴¹+3 =

1(0)₁₄₀3_<142>

= 23 · 179 · 644783 · 1095239290136891_<16> · 803739638634605270206280169488592754569025676064749_<51> · 427938295026116307934098302562270778494869844206815199155275017447_<66> (Bryan Koen / GGNFS-0.77.1-20060513-pentium3 / 21.59 hours on Pentium 3 Linux / Jun 5, 2006)

10¹⁴²+3 =

1(0)₁₄₁3_<143>

= 7 · 541 · 43327067821748272353553_<23> · 60946026465304974803790792681220945491909217668039734426659739308109065885791246440633099629575113608999707001563673_<116>

10¹⁴³+3 =

1(0)₁₄₂3_<144>

= 163 · 27031 · 4715647356151_<13> · 168558533183087_<15> · 4147101487903858399083877_<25> · 7345539743327053679573405567_<28> · 937324228248119193845135214526987488784377088869505157197_<57>

10¹⁴⁴+3 =

1(0)₁₄₃3_<145>

= 134060221 · 895346379774329815520794224163_<30> · 3312794646750731247992525345573307418477327_<43> · 2514863810750094284798767186768560521807692068531696374269371643_<64> (Wojciech Florek / ECM for P30 / May 29, 2006) (Alfred Reich / Msieve v. 1.06 for P43 x P64 / Jun 6, 2006)

10¹⁴⁵+3 =

1(0)₁₄₄3_<146>

= 13³ · 43 · 12075143 · 8766156200684878799008827009062597858947436856129052621658170468236243976055340649834199245133777974926097117235232911182743682616051_<133>

10¹⁴⁶+3 =

1(0)₁₄₅3_<147>

= 97 · 337 · 397 · 1417693 · 620541979 · 21664970297659279_<17> · 9150569570314205775583_<22> · 44182295046517451060199140411491994133365784148518994793958755571258224952845933272129_<86>

10¹⁴⁷+3 =

1(0)₁₄₆3_<148>

= 17 · 2797246489_<10> · 33108811339229359436324412647303299386888839796775859569_<56> · 635150657593861735194302722673849771111790656208078860699275923576820452341058299_<81> (JMB / GGNFS-0.77.1-20060513-pentium4 / 49.41 hours on WinXP Pro, Cygwin / Nov 5, 2006)

10¹⁴⁸+3 =

1(0)₁₄₇3_<149>

= 7 · 5107 · 2157481 · 330473699221_<12> · 10179078449976201273125762528418361136218099_<44> · 38542844162420837355114416087578812267010926136810640691082927212474664077128617153_<83> (JMB / GGNFS-0.77.1-20060513-pentium4 / 57.98 hours on WinXP Pro, Cygwin / Nov 6, 2006)

10¹⁴⁹+3 =

1(0)₁₄₈3_<150>

= 31 · 409 · 36299 · 68161 · 15786109931_<11> · 384564861922004165543203544546821681061_<39> · 525097150223725778038006971456374587050144448028021793732567240767742167666853365031593_<87> (JMB / GMP-ECM 6.0.1 B1=11000000, sigma=1044949713 for P39 / Nov 6, 2006)

10¹⁵⁰+3 =

1(0)₁₄₉3_<151>

= 4993 · 909599715918703_<15> · 1312781142610220555791731442886796814088531285959604282653_<58> · 167724222837335381788066096688395065923446964535816909617221682818743071569_<75> (JMB / GGNFS-0.77.1-20060513-pentium4 / 48.22 hours on Stage-1 distributed across a half dozen systems with 6 hours total clock-time. Stage-2 run under WinXP Pro and Cygwin. / Nov 6, 2006)

10¹⁵¹+3 =

1(0)₁₅₀3_<152>

= 13 · 7331 · 1107763 · 2103712202632193_<16> · 45025676505007510629727031974690465041769541917582329374100999739130510425052905532469926297575092762463387049217244630943239_<125>

10¹⁵²+3 =

1(0)₁₅₁3_<153>

= 43613668999_<11> · 12179717710063_<14> · 128492693814335713_<18> · 2456091372331436862367783336363_<31> · 15820959142195526790315426273379632223_<38> · 37703736485632074700837740810673485387490687_<44> (Bryan Koen / GMP-ECM 6.1 B1=1000000, sigma=1029063430 for P31 / Jun 6, 2006) (Wojciech Florek / Msieve v. 1.03 / Jun 6, 2006)

10¹⁵³+3 =

1(0)₁₅₂3_<154>

= 29 · 67 · 376761827601512787036094285501223811506077_<42> · 1366030211688845889671647585845412059913391266235993559996651995578056259930708624299661596143715652351500473_<109> (JMB / GGNFS-0.77.1-20060513-pentium4 / 43.84 hours on Stage-1: distributed across a half dozen systems Stage-2: WinXP Pro + Cygwin / Nov 7, 2006)

10¹⁵⁴+3 =

1(0)₁₅₃3_<155>

= 7 · 3963860422906687_<16> · 149423443005462551721301379502643750647745574130417390277014997318813_<69> · 2411930932482573111391518332280642017351271749416029057705410264299159_<70> (JMB / GGNFS-0.77.1-20060513-athlon-xp 45.44 hours on Stage-1 distributed across 7 systems Stage-2 WinXP Pro + Cygwin / Nov 7, 2006)

10¹⁵⁵+3 =

1(0)₁₅₄3_<156>

= 82104127886814499369024993996312311665706556142420410416782489897012262753547_<77> · 1217965558782331157844625900310263781587935921261132202891162537797114525084649_<79> (Wojciech Florek / GGNFS-0.77.1 / 88.84 hours on Linux Fedora Core 2 / Jun 12, 2006)

10¹⁵⁶+3 =

1(0)₁₅₅3_<157>

= 641511403098200562871_<21> · 1558818744562398872697991402841893630143012651172541457423138666704986227205201971423330215046840119630888036798157768722999217670243093_<136>

10¹⁵⁷+3 =

1(0)₁₅₆3_<158>

= 13 · 821 · 936943689684249976576407757893750585589806052656235360254848683594115993628782910147100159280427246322496017989318841937599550267028951560011243324276211_<153>

10¹⁵⁸+3 =

1(0)₁₅₇3_<159>

= 19 · 181 · 42367021 · 56562887171939352687533078968873450917397_<41> · 12134121153120891677860517234609605899226468109948574988494138769478971577913168918124640360449818429183421_<107> (JMB / GGNFS-0.77.1-20060513-athlon-xp / 73.73 hours on Stage-1: Distributed sieving across a half dozen systems Stage-2: WinXP Pro + Cygwin / Nov 8, 2006)

10¹⁵⁹+3 =

1(0)₁₅₈3_<160>

= 27481 · 21857807 · 50342736358471_<14> · 365088561996659184739622906690610283957025786636979183011_<57> · 90578648466036397927895461652215642063389691714124448760625362551232618315489_<77> (JMB / GGNFS-0.77.1-20060513-athlon-xp / 67.02 hours on Stage-1: Distributed sieving Stage-2: WinXP Pro + Cygwin Total clock time to factor, 12 hours and 5 minutes. / Nov 8, 2006)

10¹⁶⁰+3 =

1(0)₁₅₉3_<161>

= 7² · 823 · 2418343914073834818913548979_<28> · 102538278668961192433911894438328850160845843852041786502290291129164567462464059585048892813551072785448461295685350000183704391_<129> (Wojciech Florek / GMP-ECM 6.0.1 B1=250000, sigma=3113440630 for P28 / Jun 5, 2006)

10¹⁶¹+3 =

1(0)₁₆₀3_<162>

= 13384170461_<11> · 821803718884451141_<18> · 55689458843269071823219640216823151_<35> · 31215643436669954814773315727432097321_<38> · 5229921251194894076800387430777663894801697083886414650870293_<61> (JMB / GGNFS-0.77.1-20060513-athlon-xp / 72.01 hours on Stage-1 distributed sieving, stage-2 WinXP Pro + Cygwin / Nov 9, 2006)

10¹⁶²+3 =

1(0)₁₆₁3_<163>

= 307 · 598650709 · 4476604141360639_<16> · 1215456529967844490860002956956766684679615204826635405672103875715862231362250509284023146316779151931571158384340272772956845556391379_<136>

10¹⁶³+3 =

1(0)₁₆₂3_<164>

= 13 · 17 · 23 · 1249 · 117231589899843222398103253015079733333423108013_<48> · 13436086681281923664269307468592392032596002915199098937195994818328776362541162076537167449224244474925441693_<110> (JMB / GGNFS-0.77.1-20060513-athlon-xp / 82.88 hours on Distributed stage-1 sieving, stage-2 on WinXP Pro + Cygwin / Nov 9, 2006)

10¹⁶⁴+3 =

1(0)₁₆₃3_<165>

= 31 · 72661 · 34398655802053_<14> · 4075389007177818510425958607451799493_<37> · 316684198450990245853796446126980851388377309015444532754266605694332398770449162432993865124395996668140177_<108> (JMB / GGNFS-0.77.1-20060513-athlon-xp / 100.00 hours on XP Pro + Cygwin / Nov 10, 2006)

10¹⁶⁵+3 =

1(0)₁₆₄3_<166>

= 38239 · 1693194240447509_<16> · 1588184880884744278485835046657_<31> · 9724910962239622540990620193028590711568046948990342160048211399738346880582051939871864183726938718963260603503529_<115> (Wojciech Florek / GMP-ECM 6.0.1 B1=250000, sigma=2303993114 for P31 / May 30, 2006)

10¹⁶⁶+3 =

1(0)₁₆₅3_<167>

= 7 · 43 · 18427 · 954097 · 289958317933153_<15> · 5657544674639745614620897_<25> · 1151921209031995449835503865181231198407371624530198454905628788988143684273692588815971197309672350920721424851757_<115> (Wojciech Florek)

10¹⁶⁷+3 =

1(0)₁₆₆3_<168>

= 613 · 3042701 · 5418606523951_<13> · 210504879244969399_<18> · 104420640192739457415377_<24> · 12671007740661978399849262965676367229484426614023_<50> · 35524907704428477072483751792823172988116747462504646589_<56> (Alexander Mkrtychyan / Msieve v. 1.06 for P50 x P56 / 46:25:13 on Pentium 4 3GHz, Windows XP / Jun 4, 2006)

10¹⁶⁸+3 =

1(0)₁₆₇3_<169>

= 2726503339299619443116347_<25> · 366770135794837747000992668499668273784835901175430418496681764060260154921883996542610623298632476729065834630837706796434505670143580320217049_<144>

10¹⁶⁹+3 =

1(0)₁₆₈3_<170>

= 13 · 3863 · 13619 · 180929343137_<12> · 415945381776047083_<18> · 1802869127948399869001169907_<28> · 107764868788831277178037213842637374181092314877532084470985459283443200337152000576316948734185833115459_<105>

10¹⁷⁰+3 =

1(0)₁₆₉3_<171>

= 1447 · 101377 · 5131069 · 10740883 · 91413901 · 1019392014671857_<16> · 979614353591462245935054061765020517_<36> · 135498841902904458414080769423196258648267894198367246061470273791512538221196685877755299_<90> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=2556236900 for P36 / Mar 19, 2007)

10¹⁷¹+3 =

1(0)₁₇₀3_<172>

= 11766503516695099357653883_<26> · 3324774752229019712326210320791873479173334110257_<49> · 25561735879742056874997330779164365467172026436929398740217995340496906772469307561544143733079913_<98> (Wojciech Florek / GMP-ECM 6.0.1 B1=250000, sigma=4031587673 for P26 / Jun 12, 2006) (matsui / GGNFS-0.77.1-20060513-prescott snfs / 141.52 hours / Jun 22, 2008)

10¹⁷²+3 =

1(0)₁₇₁3_<173>

= 7 · 103 · 4840357 · 6217133466469352588076049198728375528009389334759580516393_<58> · 460889856884875870260428947472281235450995348075280309946390712729504236795643811044642178283027609350143_<105> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 103.49 hours / Dec 5, 2008)

10¹⁷³+3 =

1(0)₁₇₂3_<174>

= 8753 · 14107 · 2625274331_<10> · 4654165597283817538340682232414823_<34> · 66281431794713202969955544003490886754601337940508012963182198582216786419780605860128839549004095099134596062756894253661_<122> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=3230671133 for P34 / Mar 20, 2007)

10¹⁷⁴+3 =

1(0)₁₇₃3_<175>

= 9701827 · 2365502310860023_<16> · 27679823238177256411_<20> · 291422925891151054317621660625168167319857245759119095307699_<60> · 5401769776185501645973607904479822156071281325941785500003058562905410087_<73> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 123.13 hours / Dec 3, 2008)

10¹⁷⁵+3 =

1(0)₁₇₄3_<176>

= 13 · 1550513 · 84605989629414611161564159889389410528733_<41> · 5863813190635906011331311978267233281067998931182925784006119151460092105536944514992383719950101352924989857277216412589708939_<127> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 105.85 hours on Core 2 Quad Q6600 / Apr 20, 2008)

10¹⁷⁶+3 =

1(0)₁₇₅3_<177>

= 19² · 44671609 · 2107261963_<10> · 2551746123933673099873117_<25> · 1153201532807390266144798059863797260784393582736510371997062309294014366485630695096794534723552052657014402203871380895801597441757_<133>

10¹⁷⁷+3 =

1(0)₁₇₆3_<178>

= 59 · 135283639 · 125286048391800588361850640267227794445832959789325876768451615315095399585870049077693593464376410122429099263042518907194131758451689485688908015736365176891138065903_<168>

10¹⁷⁸+3 =

1(0)₁₇₇3_<179>

= 7 · 157 · 24245477791_<11> · 5078466902270143_<16> · 4569709099059178801353087954144739_<34> · 841050813852720381404892919400005717849954152346218888253_<57> · 19227735730244777938096884405431184217580235872014168819807_<59> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=2589698603 for P34 / Feb 25, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 gnfs for P57 x P59 / 31.02 hours on Core 2 Duo E6300@2.33GHz / Feb 27, 2007)

10¹⁷⁹+3 =

1(0)₁₇₈3_<180>

= 17 · 31 · 47 · 631 · 31333 · 95849950813_<11> · 251303759561797_<15> · 144295128397493551437767_<24> · 15923517945400036446518209_<26> · 3689594329477766500239026122115273231811086695605830223270786654498622945351784832023465257943_<94>

10¹⁸⁰+3 =

1(0)₁₇₉3_<181>

= 28123846354801856041_<20> · 846519155191153820587_<21> · 77061435151581887669779157560546231_<35> · 545068896844122913071888795078742584270297590744667404658731433888121502839542622364777079658746154067239_<105> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=957255829 for P35 / Feb 24, 2007)

10¹⁸¹+3 =

1(0)₁₈₀3_<182>

= 13 · 29 · 9049 · 12637 · 401861 · 42761227 · 1663897541401_<13> · 8112626410132975610523776098645246540649842833885955258262588867908596844334114037682190019238078715729021516276868996872278698943674339557232049_<145>

10¹⁸²+3 =

1(0)₁₈₁3_<183>

= 406739627350936953562388377_<27> · 245857529671480737053230473791951684664784508684537281437794354233101717382061812791982857492060102011506560855529194447399887136377222705239997696635282939_<156> (Wojciech Florek / GMP-ECM 6.0.1 B1=250000, sigma=3601554061 for P27 / Jun 19, 2006)

10¹⁸³+3 =

1(0)₁₈₂3_<184>

= 151 · 6020764512776596637935748594527916970455883912337190641386916348913598221840340985957_<85> · 1099946118510003646349468098078650177107070925385139448756306534652901227896353302429603211134929_<97> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.33 / Mar 3, 2008)

10¹⁸⁴+3 =

1(0)₁₈₃3_<185>

= 7 · 9818100172727968626557779746645595165748218531909597522519996742899_<67> · 145503855474974097626225854491524811807124225128548763972026441569570512183910306970186124416727300719805279405934471_<117> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.34 / Apr 23, 2008)

10¹⁸⁵+3 =

1(0)₁₈₄3_<186>

= 23 · 503 · 1129 · 14664279305141722711057404987986284967512862293_<47> · 522094974805393808120588312898179627396251001923170837778218768489811574700366797020490210824166469329055959469753995440922219261071_<132> (Wataru Sakai / Msieve / 236.49 hours / Dec 3, 2008)

10¹⁸⁶+3 =

1(0)₁₈₅3_<187>

= 67 · 236376199 · 8127551942626729_<16> · 1722824519095740938809_<22> · 261627697235382405889957_<24> · 17236017886894906417062328512313986195825653145562258653640735221036113649521785485305122981525096369308707643251083_<116>

10¹⁸⁷+3 =

1(0)₁₈₆3_<188>

= 13 · 43 · 2939 · 13313 · 457206792669032515006444892335628392543525556187910701183638017522665490557301184323562531729291290952147924028419653638904041607201091988424155137876697052520530222591269202231_<177>

10¹⁸⁸+3 =

1(0)₁₈₇3_<189>

= 1128805098352015532983_<22> · 68181059276881620949567_<23> · 1299323500467930791396487288889578811241087525195872920484445906633755265625230556420310428586160342478651071536317223748214031066444183439575723_<145>

10¹⁸⁹+3 =

1(0)₁₈₈3_<190>

= 149 · 2579 · 7541 · 18804384407_<11> · 89411784830227_<14> · [205248297644156261196720985253614172077029245438613226830452987675960883098054087210769404046438306485121986264348749244919350699056988552234916435950184757_<156>] SUBMIT/RESERVE

10¹⁹⁰+3 =

1(0)₁₈₉3_<191>

= 7 · 109 · 1999 · 9733 · 3233311 · 754010347 · 2866919243941_<13> · 17720582280902798851_<20> · 655722163172284079918744219522347_<33> · 623346172585568150454866799443866912070379169_<45> · 13306031615599752194914775123337309874878370542863648083_<56> (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=3132901734 for P33 / Feb 27, 2007) (Shaopu Lin / Msieve v. 1.16 for P45 x P56 / Mar 1, 2007)

10¹⁹¹+3 =

1(0)₁₉₀3_<192>

= 131 · 283 · 364918399 · 7391737031054034589007515021831787708398504680473196668794012823857987599608801925026887857796126260809187231355419555325617501980500742977895790062370774459036409973579412446189_<178>

10¹⁹²+3 =

1(0)₁₉₁3_<193>

= 61 · 727 · 84691 · 24599628043_<11> · 4365121677427437126043_<22> · 157349786319867767245849_<24> · 476691394985607038210799064159_<30> · 22496929711071392186319135503334358049659922899_<47> · 1469423149375244910983689431513647763628819868757679_<52> (Makoto Kamada / GMP-ECM 5.0.3 B1=73580, sigma=1942214032 for P30) (Wojciech Florek / Msieve for P47 x P52 / May 28, 2006)

10¹⁹³+3 =

1(0)₁₉₂3_<194>

= 13 · 15401293 · 49945856444051108615960411196044983415952853389047869602197086259625684075306584273850853351678379810758046793164104418425727682034928445992763774394186853712167593281341328339719968267_<185>

10¹⁹⁴+3 =

1(0)₁₉₃3_<195>

= 19 · 31 · 12409 · 25729399 · 5851870639_<10> · 104158554145423_<15> · 209791664762566759429_<21> · [4158535275088413824378355739836501505392291656144512892575213767449847733859690592784109621148873117954270828493388445606731856649315069_<136>] SUBMIT/RESERVE

10¹⁹⁵+3 =

1(0)₁₉₄3_<196>

= 17 · 547 · 14549 · 3486070789921_<13> · 5665894963755404087_<19> · [374219046080813346453326646441267156034345085487650370040062476729896969884729327545583720587165323414765099952683896438559950257399288091712019285405489339_<156>] SUBMIT/RESERVE

10¹⁹⁶+3 =

1(0)₁₉₅3_<197>

= 7 · 2752508262761669324008667413574517577856587387092720436281875809_<64> · 519007135382076014806320192315848747738324564942772903565586965269516034842355760568492424090789108493561735010406846967181255450181_<132> (Wataru Sakai / Msieve / 642.69 hours / Dec 9, 2008)

10¹⁹⁷+3 =

1(0)₁₉₆3_<198>

= 19106066785697_<14> · 23966692732375924083199_<23> · 1506740400796917587901655344160313161129_<40> · 144937967623748042799512511778911106094684897095036555622767428355565706896710086626493506929331448785972737501085874126869_<123> (suberi / GMP-ECM 6.1.2 B1=1000000, sigma=3094257630 for P40 / Mar 8, 2007)

10¹⁹⁸+3 =

1(0)₁₉₇3_<199>

= 3109747 · 13549519 · 54410288483081773549_<20> · 4956133022658714127085971_<25> · 88008998979457790402824658115175615909999110544344527578514436111912717574548833639840144682338469377023785085552214836504669713133940860249_<140>

10¹⁹⁹+3 =

1(0)₁₉₈3_<200>

= 13 · 4533299 · 259556761 · 111011352372742720485057131_<27> · 505135145839533539009957298516389_<33> · 16093036459190114862200718359175889466551_<41> · 724430892695841602220008780254282449815290128891715782166558993784367540920500492781_<84> (Wojciech Florek / GMP-ECM 6.0.1 B1=250000, sigma=582744240 for P33 / Jun 9, 2006) (Wataru Sakai / GMP-ECM 6.1.1 B1=11000000, sigma=4230666473 for P41 / Feb 22, 2007)

10²⁰⁰+3 =

1(0)₁₉₉3_<201>

= 16892897616604738393032473779_<29> · [5919647550678682918318585392550030687321219331802429980672060525048639901448866420111089641083403610030206379807979210510870824800479444820240779860283084327969945191577457_<172>] (Wojciech Florek / GMP-ECM 6.1 / Jun 30, 2006) SUBMIT/RESERVE

10²⁰¹+3 =

1(0)₂₀₀3_<202>

= 180350791512060797653_<21> · [5544749715906436128060592616689971095174464304952506855426229327314091233220290245638033963235642392446463291220068699333112380183728972100989298427871251069851910382719647449944951_<181>] SUBMIT/RESERVE

10²⁰²+3 =

1(0)₂₀₁3_<203>

= 7² · 35851 · 24708272863_<11> · 230388213518038281280308397750250698067300516270332244353847105419080821109260112675484948348030235670854091620187129933046797453834418163823612918388252157514593449879604998726468588519_<186>

10²⁰³+3 =

1(0)₂₀₂3_<204>

= 2789 · 12365896675697_<14> · 1249127817911663_<16> · 280868269889331617_<18> · [8264494845185256645112826460948097923540992276880283844281341492086504732344676137289279780160950347952045984000332315386091220759365162756845298474087321_<154>] SUBMIT/RESERVE

10²⁰⁴+3 =

1(0)₂₀₃3_<205>

= 499 · 773818009 · 2589766576538882449628428105053450892762607786935945217420437044156254155298033911234044725424437336349351151470740572779260729596869687415476774186025367485317809303990638221041572299159983833_<193>

10²⁰⁵+3 =

1(0)₂₀₄3_<206>

= 13 · 2085378790263289_<16> · 25768370845254577096463990771_<29> · [14314781835404490011603522372422309471037502970971972887091557090459232811795396444691393260978632571264406191766925701366390800713391335388861750441161135313949_<161>] (Wojciech Florek) SUBMIT/RESERVE

10²⁰⁶+3 =

1(0)₂₀₅3_<207>

= 103 · 373 · 29468191729_<11> · 6646919103653342659_<19> · 17692094238298162154533_<23> · 93720538570023947313426016065577_<32> · 8014308274577089789601337172685418232615549545999381100160003502568349148420305897095827092221852151620633092928048087_<118> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3601356340 for P32 / Dec 13, 2008)

10²⁰⁷+3 =

1(0)₂₀₆3_<208>

= 23 · 853 · 389057 · 7826504789_<10> · 7801990472951771_<16> · 50499679249372762502722933_<26> · 42486211673325367821503552791240824628280281552789529384362715702057666500134064813701971917397118495584619798264663988718946274421350897994845483_<146> (Wojciech Florek)

10²⁰⁸+3 =

1(0)₂₀₇3_<209>

= 7 · 43 · 967 · 141499 · 1073113 · 9669619 · 23399083174595291571585540763318181518000029606069748374672603953939599936449125637342993978807955773645554918964774792743344473477336405258318950319194157646218615604643960459015756353_<185>

10²⁰⁹+3 =

1(0)₂₀₈3_<210>

= 29 · 31 · 233 · 3361 · 7027 · 20063 · 85331 · 2279750071_<10> · 55935983459_<11> · 3734180213376649_<16> · 924753821124362413_<18> · 26812869156941031792385719749731056724908259694748707340374608353214983347205952586373727159589844098323364647983582684450693915899543_<134>

10²¹⁰+3 =

1(0)₂₀₉3_<211>

= 11827 · 2521321819_<10> · 42100517827_<11> · 337318192147392917977_<21> · 2361401960141213721445664721995546690933838548779211101075787717531830278658343968881547748349899121983144250148825422692515984786932543925992047598708318835775630089_<166>

10²¹¹+3 =

1(0)₂₁₀3_<212>

= 13 · 17 · 2281 · 19837294510425490129954116337797385841329416128910674646549005060493829609542532151295077772113128123134054485113102334651190931975933394299951795374339666058984211497299152352405569518806747060608885917703_<206>

10²¹²+3 =

1(0)₂₁₁3_<213>

= 19 · 313 · [16815200941651252732470153018328569026399865478392466789978140238775853371447788801076172860265680174878089793173028417689591390617117874558600975281654615772658483268875063057003531192197746763073818732133849_<209>] SUBMIT/RESERVE

10²¹³+3 =

1(0)₂₁₂3_<214>

= 20773 · 48139411736388581331536128628508159630289317864535695373802532133057334039378038800365859529196553218119674577576662013190198815770471284840899244211235738699273094882780532421893804457709526789582631300245511_<209>

10²¹⁴+3 =

1(0)₂₁₃3_<215>

= 7 · 3313 · 21247 · 433963 · 2633642358481_<13> · 4261083787171_<13> · 402649344791515198602193_<24> · 10349665986183592203507564377602190498035757307891378512727117515014975715518581364695717327241765079209513469831768988636015360602261581856722417592971_<152>

10²¹⁵+3 =

1(0)₂₁₄3_<216>

= 257 · 19231 · 6796788072622019335132886437_<28> · 2976879670248594742448348755396019489898469503471809994832749203154525775113126992692494295087261699557091126287342131175807015931534020901393457152729290399319466690500273048661657_<181> (Wojciech Florek)

10²¹⁶+3 =

1(0)₂₁₅3_<217>

= 4339 · 686773 · 722101747 · [464727894806381917382718260556330873831429153382989420435536615268075433169776375735700673656081885817695686079574546874110863931161054573908067853190417592686784819909216766687039872005727451786367_<198>] SUBMIT/RESERVE

10²¹⁷+3 =

1(0)₂₁₆3_<218>

= 13 · 1131961 · 302918571733_<12> · 2243361607135013516033612468160994133520821988854484096188761034526238091015759811818218762313435162967346333163395042821032519932352203739203209570213285028436204037874151167194630586854493617942187_<199>

10²¹⁸+3 =

1(0)₂₁₇3_<219>

= 613 · 2287 · 21067 · 31142611258687_<14> · [108721551407302052232712141490187045005121546273052490109524962967126094914561193108405127643269904111044967592951398889212633106082153409998231571187047848270018718011559496042674093569908144997_<195>] SUBMIT/RESERVE

10²¹⁹+3 =

1(0)₂₁₈3_<220>

= 67 · 19801 · 153319 · 76814053 · 28930137529_<11> · [2212335135020946316160414768197269893460057280688580627231004642405276317140391110378099251944153412560142783598642235694078247389647383102587696871604753413116807044468713058920480051162203_<190>] SUBMIT/RESERVE

10²²⁰+3 =

1(0)₂₁₉3_<221>

= 7 · 1171 · 13903 · 38287 · 466273 · 911419733782919312617_<21> · [5392951422694058020528177139776806519627575893348959980867646327961327721590664594207110116937902780324629515696534778260851069509643994127228921580088158226718711134222442785931599_<181>] SUBMIT/RESERVE

10²²¹+3 =

1(0)₂₂₀3_<222>

= 139628785837_<12> · 7058034671236936808207_<22> · [101470838933508833845753541107431858518654829260353003402457716794060143479712112463746384258265042797210355126914080995691976856173257920222367497105389066353235770021087332676100318656417_<189>] SUBMIT/RESERVE

10²²²+3 =

1(0)₂₂₁3_<223>

= 643 · [1555209953343701399688958009331259720062208398133748055987558320373250388802488335925349922239502332814930015552099533437013996889580093312597200622083981337480559875583203732503888024883359253499222395023328149300155521_<220>] SUBMIT/RESERVE

10²²³+3 =

1(0)₂₂₂3_<224>

= 13² · 269 · 89724043 · [2451614495742798461237609954389542919894362289056877538222666783895045972734945304654442736252203756409045872358242450455580423798000910100651491836954045773901763462948420540470156451674925896917129041325046661_<211>] SUBMIT/RESERVE

10²²⁴+3 =

1(0)₂₂₃3_<225>

= 31 · 163 · 10375177 · 2147412247_<10> · 2626740241_<10> · [338160310995671341657619781587674716045828875421323511536741154709110268731202603626964204530596553363389094045611455397564498846986795306368161432669711887037746593930129253315600450488672903169_<195>] SUBMIT/RESERVE

10²²⁵+3 =

1(0)₂₂₄3_<226>

= 47 · [21276595744680851063829787234042553191489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319149_<224>] SUBMIT/RESERVE

10²²⁶+3 =

1(0)₂₂₅3_<227>

= 7 · 199 · 86767 · 552146296783_<12> · [149844269213987113270516108112325990629275497390228465128673262699071996750762376707578918116965186423563376854164193031946190009312430389227025510839710178521837055715516444664922173137652295903796631770611_<207>] SUBMIT/RESERVE

10²²⁷+3 =

1(0)₂₂₆3_<228>

= 17 · 167 · 1571 · 2411 · 7131889 · [1303937083905476997501540852798070957677781158059309006089273235934202003529500093511127391163266404301634990770786547912566140543169063266270658616274046756970645414747280602308503190694407555601452288281206053_<211>] SUBMIT/RESERVE

10²²⁸+3 =

1(0)₂₂₇3_<229>

= 3187 · 5791 · 16153650765162590912003287909_<29> · [3354236512997066115957206225930999743339925877410497521481149353858557833379730711016115321338655398055287404773435653056412792384846025310346612111629443231904356775596779664016308395618811651_<193>] (Wojciech Florek) SUBMIT/RESERVE

10²²⁹+3 =

1(0)₂₂₈3_<230>

= 13 · 23 · 43 · 12043 · 1014358410733_<13> · 220535229192001_<15> · 6903187661215142971687367557123_<31> · [41822171647168362658352103882111412836230392514870274089792629749055918393230577260423231314963473007967384952850787060019323657056401447371346520887078649761413767_<164>] (Wojciech Florek) SUBMIT/RESERVE

10²³⁰+3 =

1(0)₂₂₉3_<231>

= 19 · 5857 · 27099856425841234316222408671_<29> · [33159210751548739457663168065966357235710749244898878885022455838606903280723960565131406197561172964013447047118882534500031725611907359212089342739490906833377972707266647735064712723311327108271_<197>] SUBMIT/RESERVE

10²³¹+3 =

1(0)₂₃₀3_<232>

= 5197 · 34428731 · [5588899082511670844820043759885244776486670414570803748228727672103085154982985037791264314521450095746782683622077868368434953843495430072326401260619307534708753092062825643733225977068061966027282078067860722586666429_<220>] SUBMIT/RESERVE

10²³²+3 =

1(0)₂₃₁3_<233>

= 7 · 433 · 3299241174529858132629495216100296931705707687231936654569449026723853513691850874298911250412405146816232266578686902012537116463213460903992081821181128340481689211481359287363906301550643352029033322335862751567139557901682613_<229>

10²³³+3 =

1(0)₂₃₂3_<234>

= 188707 · 15247972609_<11> · [34753607056841647869311748681936105235401328213803539235290389122352846806641081039004514614311929289881816141251662391864022477038033327281711619401203758085930330974260131048722415590412431962600422680082538129246881_<218>] SUBMIT/RESERVE

10²³⁴+3 =

1(0)₂₃₃3_<235>

= 1621 · 104096557 · 48959841528727_<14> · 145941119178487_<15> · 7038734253953797_<16> · [117833390761822206781504235853702940398633422674715455907712487569609504674353029127577678760477779626680339767620241534635122222619356307811633522977634813958958846128976560370183_<180>] SUBMIT/RESERVE

10²³⁵+3 =

1(0)₂₃₄3_<236>

= 13 · 59 · 13037809647979139504563233376792698826597131681877444589308996088657105606258148631029986962190352020860495436766623207301173402868318122555410691003911342894393741851368970013037809647979139504563233376792698826597131681877444589309_<233>

10²³⁶+3 =

1(0)₂₃₅3_<237>

= 1567 · 2289525577_<10> · [27873114831407956927278216085375267013374562824339022205019123402474327281253455881180723539142872534985805756177024426962312171392436553401785487463317265288165116170026999041536316752042493742156188358335736899670972577717_<224>] SUBMIT/RESERVE

10²³⁷+3 =

1(0)₂₃₆3_<238>

= 29 · 211441 · 74668721553328983891655399_<26> · 2184107863269697164634863817969429339390371417576030873581131184573192864275673522038666949892294321925725084092466936789263876855204150665950023766356224261484119323171797449351661737248740230563772718873_<205>

10²³⁸+3 =

1(0)₂₃₇3_<239>

= 7 · 50375078683747_<14> · 28358693741005359874527234090695717505740570191749001848310123942536153613326494579726067759629310670807622137991969254833383470771201199569995004795546997018797645493662458608467987730108673279472766270491195115946584571607_<224>

10²³⁹+3 =

1(0)₂₃₈3_<240>

= 31 · 6733 · 2627061299_<10> · 4375003103_<10> · [41685126111496290641633520617573076692091670776461899683637899935543617891508122779391933558848814124775498142139156379694379816046718194930047447484642154511029817429777956753792124334556787786025217938750595401013_<215>] SUBMIT/RESERVE

10²⁴⁰+3 =

1(0)₂₃₉3_<241>

= 103 · 71479 · 622663699405724959_<18> · [218137715049806828348739671604364280153962336767658710170195352972745580051015807907159757421172306415352121268342922167436960805950994088580483884075775102540847109264684118292735172147103400527082972251253696684541_<216>] SUBMIT/RESERVE

10²⁴¹+3 =

1(0)₂₄₀3_<242>

= 13 · 263 · 11339641 · 220989484351_<12> · 16360448922352966372489253141_<29> · [71340273312409237591261917243869527077291161550601511002282830918989575724135262596617428035963174528565690329235010543929957349891462128903258187994400811641741461562217217830313310266909827_<191>] (Wojciech Florek) SUBMIT/RESERVE

10²⁴²+3 =

1(0)₂₄₁3_<243>

= 97 · 21342443261576751763_<20> · [48304115063880591203007782520716142880218751533418590325865612159297082943593893793111656934182589393048313942524578773286450680588769243227328940164337034403275172099537990374821738324704792693764194958300391810239324273_<221>] SUBMIT/RESERVE

10²⁴³+3 =

1(0)₂₄₂3_<244>

= 17 · 52369 · 4655011481091210710085598203535811_<34> · [241299288393794882902956690971808994014834932539593569843391834031473465410785061659626710803766127185031158329296622699949927747970513775879292908699873528388308719534441146623068218090144141968827751201_<204>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1096397998 for P34 / Dec 14, 2008) SUBMIT/RESERVE

10²⁴⁴+3 =

1(0)₂₄₃3_<245>

= 7² · [204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367346938775510204081632653061224489795918367347_<243>] SUBMIT/RESERVE

10²⁴⁵+3 =

1(0)₂₄₄3_<246>

= 397 · 1523139408975506847609408057356772403_<37> · [165374992782288143099098664420190855135065524201790567845531019468290719579509530782801360420860492125166999904737069490397081057711442662739511913130562317785089919433785439437190546446326948947840039161333_<207>] (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1013441708 for P37 / Dec 16, 2008) SUBMIT/RESERVE

10²⁴⁶+3 =

1(0)₂₄₅3_<247>

= 60978608737_<11> · 68060845104702904056331_<23> · 42784975460743105231651081_<26> · 5631626760059490115054824756762336992201153454039842815684154697480791903279427651680087164409069575672319710307862577782114105687587260779733294624184690718923286589315825354526516646529_<187> (Wojciech Florek)

10²⁴⁷+3 =

1(0)₂₄₆3_<248>

= 13 · 113 · 3305917 · 2392144013153594271547687711_<28> · [860793416383522320552412138060546611814578353151000210663963266532769445331777125007358863024734133527024112180102529918351418734778813241296780990004204739231585559546057004553109488628293560203952643513251701_<210>] SUBMIT/RESERVE

10²⁴⁸+3 =

1(0)₂₄₇3_<249>

= 19 · 223 · 126165718229274337_<18> · [187068287965862988254356650994366431093646233238958165472687247300909871046176050579761635445826812286881972346829349171566903949006603607387258814299826283313912487991263468411788506892631943215469625141837046221018444607392687_<228>] SUBMIT/RESERVE

10²⁴⁹+3 =

1(0)₂₄₈3_<250>

= 991 · 22154567 · 3086546112618303871_<19> · 179332695682933760279680634569_<30> · 82286924880424274241316877946167051416509350505608337514256788439298742466059587864538831406417310935338262422018757408051895712218391317876837985010127481240018401095661243317289605161471901_<191> (Wojciech Florek)

10²⁵⁰+3 =

1(0)₂₄₉3_<251>

= 7 · 43 · [33222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269102990033222591362126245847176079734219269103_<248>] SUBMIT/RESERVE