Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 10¹-3 = 7 is prime. (Makoto Kamada / May 20, 2003)
2. 10²-3 = 97 is prime. (Makoto Kamada / May 20, 2003)
3. 10³-3 = 997 is prime. (Makoto Kamada / May 20, 2003)
4. 10¹⁷-3 = (9)₁₆7_<17> is prime. (Makoto Kamada / PPSIQS / May 20, 2003)
5. 10¹⁴⁰-3 = (9)₁₃₉7_<140> is prime. (Makoto Kamada / PPSIQS / May 20, 2003)
6. 10⁹⁹⁰-3 = (9)₉₈₉7_<990> is prime. (searched by Makoto Kamada / May 20, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 28, 2006)
7. 10¹⁸⁸⁷-3 = (9)₁₈₈₆7_<1887> is prime. (searched by Makoto Kamada / May 20, 2003) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 15, 2006)
8. 10³⁵³⁰-3 = (9)₃₅₂₉7_<3530> is PRP. (Makoto Kamada / May 20, 2003)
9. 10⁵⁹⁹⁶-3 = (9)₅₉₉₅7_<5996> is PRP. (Henri Lifchitz / Nov 2002)
10. 10¹³⁸²⁰-3 = (9)₁₃₈₁₉7_<13820> is PRP. (Henri Lifchitz / Nov 2002)
11. 10²¹⁸⁷³-3 = (9)₂₁₈₇₂7_<21873> is PRP. (Henri Lifchitz / Nov 2002)
12. 10²⁶⁰⁴⁵-3 = (9)₂₆₀₄₄7_<26045> is PRP. (Henri Lifchitz / Nov 2002)

• 1-10000

• Henri & Renaud Lifchitz's PRP Top records (www.primenumbers.net)
• A089675 (On-Line Encyclopedia of Integer Sequences)
• Numbers b^n +/- (b-1) (Wojciech Florek)

Condition

Status

Factorization results

10¹-3 =

7

= definitely prime number

10²-3 =

97

= definitely prime number

10³-3 =

997

= definitely prime number

10⁴-3 =

9997

= 13 · 769

10⁵-3 =

99997

= 19² · 277

10⁶-3 =

999997

= 757 · 1321

10⁷-3 =

9999997

= 7 · 1428571

10⁸-3 =

99999997

= 1297 · 77101

10⁹-3 =

999999997

= 71 · 2251 · 6257

10¹⁰-3 =

9999999997_<10>

= 13 · 769230769

10¹¹-3 =

99999999997_<11>

= 17 · 5882352941_<10>

10¹²-3 =

999999999997_<12>

= 5507 · 181587071

10¹³-3 =

9999999999997_<13>

= 7² · 56527 · 3610339

10¹⁴-3 =

99999999999997_<14>

= 839 · 119189511323_<12>

10¹⁵-3 =

999999999999997_<15>

= 599 · 2131 · 3733 · 209861

10¹⁶-3 =

9999999999999997_<16>

= 13 · 433 · 39323 · 45177491

10¹⁷-3 =

99999999999999997_<17>

= definitely prime number

10¹⁸-3 =

999999999999999997_<18>

= 47 · 1283 · 949261 · 17469877

10¹⁹-3 =

9999999999999999997_<19>

= 7 · 103 · 9431 · 155027 · 9486361

10²⁰-3 =

99999999999999999997_<20>

= 23 · 19031 · 859249 · 265883581

10²¹-3 =

999999999999999999997_<21>

= 1164288119_<10> · 858893931563_<12>

10²²-3 =

9999999999999999999997_<22>

= 13 · 769230769230769230769_<21>

10²³-3 =

99999999999999999999997_<23>

= 19 · 983513 · 2972507 · 1800293893_<10>

10²⁴-3 =

999999999999999999999997_<24>

= 37967337697_<11> · 26338428255901_<14>

10²⁵-3 =

9999999999999999999999997_<25>

= 7 · 1428571428571428571428571_<25>

10²⁶-3 =

99999999999999999999999997_<26>

= 83 · 6947 · 173430153607087049797_<21>

10²⁷-3 =

999999999999999999999999997_<27>

= 17 · 29 · 1335869 · 1518410537203064741_<19>

10²⁸-3 =

9999999999999999999999999997_<28>

= 13² · 109 · 542858693881982519950057_<24>

10²⁹-3 =

99999999999999999999999999997_<29>

= 223283 · 228859 · 5834659 · 335398307039_<12>

10³⁰-3 =

999999999999999999999999999997_<30>

= 24551 · 1514197 · 26899761675796814351_<20>

10³¹-3 =

9999999999999999999999999999997_<31>

= 7 · 1063 · 2089 · 95633 · 167826727 · 40083104483_<11>

10³²-3 =

99999999999999999999999999999997_<32>

= 59 · 4814471 · 36799991 · 9566469711577703_<16>

10³³-3 =

999999999999999999999999999999997_<33>

= 757 · 4492009 · 294078654564558761050369_<24>

10³⁴-3 =

9999999999999999999999999999999997_<34>

= 13 · 769230769230769230769230769230769_<33>

10³⁵-3 =

99999999999999999999999999999999997_<35>

= 2111 · 3759289 · 1501972065791_<13> · 8389656836773_<13>

10³⁶-3 =

999999999999999999999999999999999997_<36>

= 1811 · 5963471 · 69425387 · 1333718356890134051_<19>

10³⁷-3 =

9999999999999999999999999999999999997_<37>

= 7 · 5779 · 702780737 · 40483675109_<11> · 8688593630053_<13>

10³⁸-3 =

99999999999999999999999999999999999997_<38>

= 2399 · 34367 · 1212908750097169152242159463709_<31>

10³⁹-3 =

999999999999999999999999999999999999997_<39>

= 107 · 827 · 1093 · 187423 · 55165513569618566444754607_<26>

10⁴⁰-3 =

9999999999999999999999999999999999999997_<40>

= 13 · 4787 · 48239 · 5853526052603_<13> · 569085301052150111_<18>

10⁴¹-3 =

99999999999999999999999999999999999999997_<41>

= 19 · 44909 · 6387259 · 18348412175865138486980597873_<29>

10⁴²-3 =

999999999999999999999999999999999999999997_<42>

= 23 · 61 · 1597 · 3369415196267_<13> · 132459430228679414184601_<24>

10⁴³-3 =

9999999999999999999999999999999999999999997_<43>

= 7 · 17 · 63473 · 71861 · 1004537 · 6948583 · 2639420403553807201_<19>

10⁴⁴-3 =

99999999999999999999999999999999999999999997_<44>

= 71 · 467 · 13825941769007037889_<20> · 218137357234515008089_<21>

10⁴⁵-3 =

999999999999999999999999999999999999999999997_<45>

= 1511 · 143091007 · 7084864849_<10> · 7665370631_<10> · 85164473749219_<14>

10⁴⁶-3 =

9999999999999999999999999999999999999999999997_<46>

= 13 · 44436195239_<11> · 74716684251563_<14> · 231687279868248212917_<21>

10⁴⁷-3 =

99999999999999999999999999999999999999999999997_<47>

= 409 · 967 · 66977 · 230999 · 26846177 · 9450382559_<10> · 64414344031291_<14>

10⁴⁸-3 =

999999999999999999999999999999999999999999999997_<48>

= 8737 · 106669 · 726599 · 554508243299_<12> · 2663156190955741239949_<22>

10⁴⁹-3 =

9999999999999999999999999999999999999999999999997_<49>

= 7 · 168557936063381_<15> · 10024665283411171_<17> · 845440161194356421_<18>

10⁵⁰-3 =

99999999999999999999999999999999999999999999999997_<50>

= 14627 · 3674333699_<10> · 44848033061277421_<17> · 41488023184722935209_<20>

10⁵¹-3 =

999999999999999999999999999999999999999999999999997_<51>

= 144203 · 1991177 · 273871783 · 1876732427_<10> · 6775887552190427787707_<22>

10⁵²-3 =

9999999999999999999999999999999999999999999999999997_<52>

= 13 · 179 · 1947862590871197811021597_<25> · 2206202131092079878657863_<25>

10⁵³-3 =

99999999999999999999999999999999999999999999999999997_<53>

= 103 · 28966193 · 33517479718779992603489942082562596233732843_<44>

10⁵⁴-3 =

999999999999999999999999999999999999999999999999999997_<54>

= 21518801375655714851137_<23> · 46470989835488840363806434126781_<32>

10⁵⁵-3 =

9999999999999999999999999999999999999999999999999999997_<55>

= 7² · 29 · 3989 · 1764175903156622301759112718314562795753064064813_<49>

10⁵⁶-3 =

99999999999999999999999999999999999999999999999999999997_<56>

= 313 · 3941689 · 19336103 · 4191836705988181479348939975589788043307_<40>

10⁵⁷-3 =

999999999999999999999999999999999999999999999999999999997_<57>

= 1439 · 694927032661570535093815149409312022237665045170257123_<54>

10⁵⁸-3 =

9999999999999999999999999999999999999999999999999999999997_<58>

= 13 · 173219 · 171132083 · 3214902282801317877541_<22> · 8071642288696029355717_<22>

10⁵⁹-3 =

99999999999999999999999999999999999999999999999999999999997_<59>

= 17 · 19 · 1249 · 4345511 · 57041926629930666036665011901733531105845315401_<47>

10⁶⁰-3 =

999999999999999999999999999999999999999999999999999999999997_<60>

= 719 · 757 · 6755603 · 271963805968702864258461551790513043662751795453_<48>

10⁶¹-3 =

9999999999999999999999999999999999999999999999999999999999997_<61>

= 7 · 157 · 1321 · 6888100737095659876606563395668348970470023329997196543_<55>

10⁶²-3 =

99999999999999999999999999999999999999999999999999999999999997_<62>

= 3625031 · 603220214617_<12> · 45731177968650786903285932397336219226657811_<44>

10⁶³-3 =

999999999999999999999999999999999999999999999999999999999999997_<63>

= 1346919923_<10> · 259449246196264501631_<21> · 2861579460492886363697385972683569_<34>

10⁶⁴-3 =

9999999999999999999999999999999999999999999999999999999999999997_<64>

= 13 · 23 · 47 · 711591830925780972034441044616807799046466946559453497473849_<60>

10⁶⁵-3 =

99999999999999999999999999999999999999999999999999999999999999997_<65>

= 640113583 · 156222274695895650131829806836015851268070966711543754259_<57>

10⁶⁶-3 =

999999999999999999999999999999999999999999999999999999999999999997_<66>

= 3923 · 2546962972527613_<16> · 100082710942204725571854029984014199096850397403_<48>

10⁶⁷-3 =

9999999999999999999999999999999999999999999999999999999999999999997_<67>

= 7 · 83 · 4462531 · 52308679461327694413683_<23> · 73734181764135557483526518495064769_<35>

10⁶⁸-3 =

99999999999999999999999999999999999999999999999999999999999999999997_<68>

= 181 · 10927079 · 1407477156450817_<16> · 16618414584512959499_<20> · 2161655080961323535207341_<25>

10⁶⁹-3 =

999999999999999999999999999999999999999999999999999999999999999999997_<69>

= 347 · 911 · 240347 · 6719463889_<10> · 724445935328640404936057_<24> · 2703789257357684025009811_<25>

10⁷⁰-3 =

9999999999999999999999999999999999999999999999999999999999999999999997_<70>

= 13 · 2838853 · 609124139649827_<15> · 12036938568862646965703_<23> · 36956589665321881667605033_<26>

10⁷¹-3 =

99999999999999999999999999999999999999999999999999999999999999999999997_<71>

= 4957 · 390869 · 911624502096187117724092068409_<30> · 56615306657739612877438471735301_<32>

10⁷²-3 =

999999999999999999999999999999999999999999999999999999999999999999999997_<72>

= 4919 · 725437 · 280235709382592215021783942116823254062739685689808590303568199_<63>

10⁷³-3 =

9999999999999999999999999999999999999999999999999999999999999999999999997_<73>

= 7 · 31820483 · 44894712269811510134166455882251333879142294243975761506466492937_<65>

10⁷⁴-3 =

99999999999999999999999999999999999999999999999999999999999999999999999997_<74>

= 191 · 277 · 445792777 · 20025961396631_<14> · 211719305898683240805292394343293049479508278233_<48>

10⁷⁵-3 =

999999999999999999999999999999999999999999999999999999999999999999999999997_<75>

= 17 · 593 · 3019 · 29593547 · 203287386737_<12> · 5461674546661760187240499608772098204986115329557_<49>

10⁷⁶-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999997_<76>

= 13 · 47843 · 695017 · 18660707022367378937999_<23> · 1239694634341423432349916056158844097321901_<43>

10⁷⁷-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999997_<77>

= 19 · 9770545391_<10> · 50670908789_<11> · 492691725102017033_<18> · 21577127639648878849780469624000867189_<38>

10⁷⁸-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999997_<78>

= 659 · 117361 · 7062049 · 1830880745642327756127708628460154103036454601740305990569843647_<64>

10⁷⁹-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999997_<79>

= 7 · 71 · 113 · 66457829 · 227601541763_<12> · 13755478715667106004852653_<26> · 855791776632840528315673335967_<30>

10⁸⁰-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999997_<80>

= 2663 · 4110612782962333_<16> · 1634764941685338629653189_<25> · 5588135774935638678380176533658718987_<37>

10⁸¹-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999997_<81>

= 619 · 82711432890473_<14> · 19531869160556511907230090805735936797585412429882883916315932831_<65>

10⁸²-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999997_<82>

= 13 · 1151 · 432661 · 6702143138293367_<16> · 230472904760975218695860182014530586110889780505824741637_<57>

10⁸³-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999999997_<83>

= 29 · 6286051 · 2384189546677451999_<19> · 230082359474216559463433395796447020827820649934059530357_<57>

10⁸⁴-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<84>

= 136039691 · 13631181661_<11> · 21392516536095359_<17> · 16775491065354149113_<20> · 1502670426032911987830107685541_<31>

10⁸⁵-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<85>

= 7 · 4073 · 64849 · 33819758330585864983_<20> · 159924045213327762917315647618256183211961766315464550981_<57>

10⁸⁶-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<86>

= 23 · 4347826086956521739130434782608695652173913043478260869565217391304347826086956521739_<85>

10⁸⁷-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<87>

= 103 · 257 · 757 · 113123 · 4632613 · 95226283921568354649911469910374171419599375062477580588497655609249_<68>

10⁸⁸-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<88>

= 13 · 302303497 · 2544564574556572962069409237534454425346031538731320831426673073619023437129577_<79>

10⁸⁹-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<89>

= 269 · 1663 · 711780703 · 50085008861179389314983865307479_<32> · 6270490382978711525333242984143695967656023_<43>

10⁹⁰-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<90>

= 59 · 1981462151_<10> · 5427392805973_<13> · 6775211799337_<13> · 78160868906623597_<17> · 2976176599680018387033042268965119689_<37>

10⁹¹-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<91>

= 7 · 17 · 622802562607_<12> · 541191531367411_<15> · 249316864069717043485091626653147919697908905053883660187580519_<63>

10⁹²-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<92>

= 107 · 3557017 · 76772438105837719738754548269930764941_<38> · 3422354146951056095066841448159662200272103243_<46>

10⁹³-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<93>

= 233 · 10744219 · 291653535584641_<15> · 52792348845059647_<17> · 25943645194741155506563259922410371213134407504184593_<53>

10⁹⁴-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<94>

= 13 · 151548409 · 1465865413328343894556166417276893_<34> · 3462670511054145557735868404409558124203646135593037_<52>

10⁹⁵-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<95>

= 19 · 509 · 2591 · 11279 · 37728203 · 9378307897647822189773362682835304573974710330908432747151623394481317471521_<76>

10⁹⁶-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<96>

= 38604899 · 67135031 · 3339133451_<10> · 75802272361_<11> · 1274839317373_<13> · 371370564511057_<15> · 3210299262702817_<16> · 1002960752029899359_<19>

10⁹⁷-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<97>

= 7² · 2281 · 56978387 · 572041744923931_<15> · 2744989966329896961448749127879070039002143600805487375898998297932229_<70>

10⁹⁸-3 =

99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<98>

= 97 · 227 · 4907420475243384479_<19> · 925441856044986409718150197395729413167764668894414882028382058169268699297_<75>

10⁹⁹-3 =

999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<99>

= 367 · 1517627 · 2113775865581_<13> · 10526423190323_<14> · 80691749292003731118629647616252267832462124947404914376760456191_<65>

10¹⁰⁰-3 =

9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<100>

= 13 · 596275259857_<12> · 27089835581037121_<17> · 47621545764299677617779790257997285086538394033923200643767527821353377_<71>

10¹⁰¹-3 =

(9)₁₀₀7_<101>

= 811 · 1660609 · 104506081 · 458290213 · 3490351201_<10> · 70036821437399159898409_<23> · 6342114199338576625556578199506049340359539_<43>

10¹⁰²-3 =

(9)₁₀₁7_<102>

= 61 · 167341 · 48523022783_<11> · 471886464223296562633_<21> · 239334429244078719805120829701_<30> · 17876284551980902328592233871781223_<35>

10¹⁰³-3 =

(9)₁₀₂7_<103>

= 7 · 692401 · 184181549987808479_<18> · 22726445496584026420510640998186677007_<38> · 492908871046517977034206424358751376938907_<42>

10¹⁰⁴-3 =

(9)₁₀₃7_<104>

= 15887 · 458401 · 13731328215929209456688791947124485531775729994561500117025176063615607948582945925408692322131_<95>

10¹⁰⁵-3 =

(9)₁₀₄7_<105>

= 1564699 · 140589838991740832020941105146256038160377_<42> · 4545851677658139202437532906827438688087706303142425442239_<58> (Makoto Kamada / SNFS / 30:42:45:32)

10¹⁰⁶-3 =

(9)₁₀₅7_<106>

= 13² · 157752018614917_<15> · 4676160827424241349622633359482724543174987_<43> · 80213770421949436989344479680642134972992714547_<47> (Makoto Kamada / PPSIQS 1.1 / 6:31:51:51)

10¹⁰⁷-3 =

(9)₁₀₆7_<107>

= 17 · 7968678694697845825873096579_<28> · 105268359025757399432466604657457309_<36> · 7012403690728403318908561793540433456872731_<43>

10¹⁰⁸-3 =

(9)₁₀₇7_<108>

= 23 · 83 · 137401213 · 3207480541_<10> · 92762470571_<11> · 12813482135218256325700577527597759817402594010431832837282926939321359468931_<77>

10¹⁰⁹-3 =

(9)₁₀₈7_<109>

= 7 · 67083924033653745174874728162417169991_<38> · 21295287196598135831894469055861840064477475149485170209040812034482381_<71> (Makoto Kamada / GGNFS-0.41.4 / Total time: 1.1 hours (actual time: 1.9 hours))

10¹¹⁰-3 =

(9)₁₀₉7_<110>

= 47 · 263 · 1871 · 4443097 · 6714107380277349896183_<22> · 144943428069060593210324709644363984350751705174143343752073126619771304837_<75>

10¹¹¹-3 =

(9)₁₁₀7_<111>

= 29 · 602657779 · 28696630206070791791_<20> · 1993886046252076663845187938068087319893076521678350863668723255877085366512385237_<82>

10¹¹²-3 =

(9)₁₁₁7_<112>

= 13 · 647 · 605811026672353_<15> · 5310320545785083_<16> · 369568082011564246318490814674287271310659910824755808150690685151322618547973_<78>

10¹¹³-3 =

(9)₁₁₂7_<113>

= 19 · 373 · 3347 · 299261 · 1539149 · 3429445432781_<13> · 2668868467392422552005114420965245432852788746018460429855287102487871476139285197_<82>

10¹¹⁴-3 =

(9)₁₁₃7_<114>

= 71 · 757 · 336529 · 859221566249037791_<18> · 180738878352484081081720836613058416283_<39> · 356013547665340428768575295631333591720156299923_<48>

10¹¹⁵-3 =

(9)₁₁₄7_<115>

= 7 · 149 · 16427 · 2086902480830030036633784894772704335879_<40> · 279676051195225896934948823207443193519179150078386523465480944649163_<69> (Makoto Kamada / GGNFS-0.41.4 / Total time: 1.7 hours (actual time: 3.3 hours))

10¹¹⁶-3 =

(9)₁₁₅7_<116>

= 563 · 1321 · 8774317 · 1088633633614509477084403918558191926908607051_<46> · 14076468703627736973261941485232894367607527799709257855417_<59> (Makoto Kamada / GGNFS-0.42.0 / Total time: 3.2 hours (actual time: 4.5 hours))

10¹¹⁷-3 =

(9)₁₁₆7_<117>

= 9127148480682127666098069205437229076855970260488284811_<55> · 109563244436806168818039119184210587861133156574721974138239127_<63> (Makoto Kamada / GGNFS-0.41.3 / Total time: 2.7 hours (actual time: 6.0 hours))

10¹¹⁸-3 =

(9)₁₁₇7_<118>

= 13 · 8461 · 89293 · 10073705259065735294499942560980394788643671299013_<50> · 101071403953684443983895115462630189568665615571767163352181_<60> (Makoto Kamada / GGNFS-0.42.0 / Total time: 2.9 hours (actual time: 3.5 hours))

10¹¹⁹-3 =

(9)₁₁₈7_<119>

= 7043 · 15599333329_<11> · 300887275512254328094763_<24> · 3025049262693665664747541346878285724445834135320710094168083527978858463925645677_<82>

10¹²⁰-3 =

(9)₁₁₉7_<120>

= 1314371 · 256328913578799661_<18> · 2968140363021126452220649514855793697359082715974543882369932510137667044124281356330082986856987_<97>

10¹²¹-3 =

(9)₁₂₀7_<121>

= 7 · 103 · 13869625520110957004160887656033287101248266296809986130374479889042995839112343966712898751733703190013869625520110957_<119>

10¹²²-3 =

(9)₁₂₁7_<122>

= 71866339938008210623739_<23> · 397118863301683969907658455831_<30> · 3503918176246150929723840345375125855783997495258623504869751070595633_<70> (Makoto Kamada / GGNFS-0.42.0 / Total time: 4.4 hours (actual time: 6 hours))

10¹²³-3 =

(9)₁₂₂7_<123>

= 17 · 15739 · 89069 · 376667884978938293477936774780616434222279_<42> · 111400918951427393267751760550029690509932963494486357752363513131610869_<72> (Makoto Kamada / GGNFS-0.42.0 / Total time: 4.7 hours (actual time: 7.8 hours))

10¹²⁴-3 =

(9)₁₂₃7_<124>

= 13 · 2569393 · 520650671 · 8152274412311_<13> · 901399309795043_<15> · 30441559635772969237_<20> · 2570495028748214654581797079357671705550480475040454114008023_<61>

10¹²⁵-3 =

(9)₁₂₄7_<125>

= 224027 · 40227639590406309217166835252731879997433918357_<47> · 11096220704771508418838283142629113970847065959139563096883643429606751723_<74> (Makoto Kamada / GGNFS-0.41.4 / Total time: 3.8 hours (actual time: 7.4 hours))

10¹²⁶-3 =

(9)₁₂₅7_<126>

= 131 · 4967 · 166429 · 543769 · 1800047 · 11106023867_<11> · 68240418225121295929_<20> · 12448211784421770185094071021831790872657994261310382419295508082318163641_<74>

10¹²⁷-3 =

(9)₁₂₆7_<127>

= 7 · 4477018734318629180293_<22> · 7609989926532955216740365501_<28> · 1280396167057838504245589115975841_<34> · 32747986372581105183234224891710798334981867_<44>

10¹²⁸-3 =

(9)₁₂₇7_<128>

= 3116303 · 3447709 · 10781786123_<11> · 11821817016493727965504014725693386869935295703801_<50> · 73022176650061765449324304407021730245121580937594754357_<56> (Makoto Kamada / GGNFS-0.50.2 / Total time: 7.2 hours (actual time: 12.4 hours))

10¹²⁹-3 =

(9)₁₂₈7_<129>

= 40619265259_<11> · 17539599447243911_<17> · 1403615855538288055865290988653397945429469842242039799304685291117752873519330257322000400837536246353_<103>

10¹³⁰-3 =

(9)₁₂₉7_<130>

= 13 · 23 · 691573 · 85078832171_<11> · 568419884796013649225640400511660780275935536920717606117971907828538350105829659595877633791349852502897560241_<111>

10¹³¹-3 =

(9)₁₃₀7_<131>

= 19 · 389 · 479 · 10185123149_<11> · 324532173076818744317976869_<27> · 8545495346710077139785136036953045644689885975695644116598380872477353722383518717890333_<88> (Makoto Kamada / GGNFS-0.52.0 / Total time: 8.7 hours (actual time: 10.7 hours))

10¹³²-3 =

(9)₁₃₁7_<132>

= 19919 · 975064193101_<12> · 51487198294454081995358167267058581242465394181123605884321434040119645137816603670221076374305249088065774874697663_<116>

10¹³³-3 =

(9)₁₃₂7_<133>

= 7 · 311 · 27107 · 2253341 · 4594450834406689_<16> · 1010842705641010535483_<22> · 1796829324576277978498688716576986881951_<40> · 9011750921273770846529134556364445817479919_<43>

10¹³⁴-3 =

(9)₁₃₃7_<134>

= 2845259519627857412680439112018370619_<37> · 124029943290906783114900331460245831990228837_<45> · 283368499045509140564835336179818819934025259684556699_<54> (Makoto Kamada / GGNFS-0.42.0 / Total time: 10.1 hours (actual time: 13.4 hours) for P45) (Makoto Kamada / PPSIQS 1.1 / 3:15:12:98)

10¹³⁵-3 =

(9)₁₃₄7_<135>

= 8891594935054218128128581330211366119702257623025863_<52> · 112465762026293015888985715318626268035804442001514204439778594639800875198450472219_<84> (Makoto Kamada / GGNFS-0.42.0 / Total time: 10.1 hours (actual time: 13.5 hours))

10¹³⁶-3 =

(9)₁₃₅7_<136>

= 13 · 109 · 5194417 · 106197961 · 12793140224464242205884955416150288157100396559521578805992926399760242313447934267623249662207687031233567410146933693_<119>

10¹³⁷-3 =

(9)₁₃₆7_<137>

= 223 · 87880708839876574310987_<23> · 1317974776987854639539412965694345386873_<40> · 3871635708616963361655567348402090715393583483956963602661082587930518289_<73> (Makoto Kamada / GGNFS-0.50.2 / Total time: 17.1 hours (actual time: 19.9 hours))

10¹³⁸-3 =

(9)₁₃₇7_<138>

= 30047 · 20730732812459_<14> · 19620811251546579405222533234378138253672631574917_<50> · 81821468309254160472196820095045483222349432219761130729098894643898517_<71> (Makoto Kamada / GGNFS-0.50.2-k1 / Total time: 21.82 hours (actual time: 23.28 hours))

10¹³⁹-3 =

(9)₁₃₈7_<139>

= 7² · 17 · 29 · 157 · 2788661 · 15523411 · 44398433 · 24958916987067161555053422268090297995769_<41> · 54964349212695694748863076665601324197711084936921370461642002386315059_<71> (Makoto Kamada / GGNFS-0.53.0 / Total time: 14.72 hours (actual time: 14.80 hours))

10¹⁴⁰-3 =

(9)₁₃₉7_<140>

= definitely prime number

10¹⁴¹-3 =

(9)₁₄₀7_<141>

= 757 · 21395260840097_<14> · 1998567824579494876129_<22> · 12839483153589083628646788780690801027737944337_<47> · 2406135617024184285708011017528134490384412631178837377241_<58> (Sander Hoogendoorn / GGNFS-0.60.6-unstable)

10¹⁴²-3 =

(9)₁₄₁7_<142>

= 13 · 3947 · 55620027781_<11> · 1448567705614466629_<19> · 1745464342922221643_<19> · 1385825472583120653686423290102430449498514937649419936194871100461577404398746984922103361_<91>

10¹⁴³-3 =

(9)₁₄₂7_<143>

= 277 · 1216793 · 5840089 · 8349701 · 90145919 · 20175914330451670548424029176641_<32> · 214227176339184428053640364764759_<33> · 15615621711258130384380831959853307643186586759613_<50> (Makoto Kamada / GMP-ECM 5.0.3 B1=10000000, sigma=2092495096 for P33) (Makoto Kamada / PPSIQS 1.1 / 0:46:07:96)

10¹⁴⁴-3 =

(9)₁₄₃7_<144>

= 167 · 337349307593677_<15> · 24897458326243224332747_<23> · 712932957281784950984395092073743731497066022895505935641190031194208447263463722058545529531369594509589_<105>

10¹⁴⁵-3 =

(9)₁₄₄7_<145>

= 7 · 107 · 676445318963_<12> · 4763952371867371418729757278628913647895634646669909353_<55> · 4143029976332174725198527972504156008079260574971910161750602000454997704627_<76> (Makoto Kamada / GGNFS 0.53.0 / Total time: 25.75 hours (actual time: 26.03 hours))

10¹⁴⁶-3 =

(9)₁₄₅7_<146>

= 786435493 · 33687902299127_<14> · 739507611188227323791_<21> · 147774458556369431910404840981974982225732968722011_<51> · 34539886053501171347512504592110662553160109081260627_<53> (Greg Childers / GGNFS)

10¹⁴⁷-3 =

(9)₁₄₆7_<147>

= 87257 · 2581475893243546379399562049_<28> · 2978486598601309977385667600190257_<34> · 76939696440259536071166115723477303_<35> · 19372493773537840831076728862163526175658084499_<47> (Greg Childers / GGNFS)

10¹⁴⁸-3 =

(9)₁₄₇7_<148>

= 13 · 59 · 8902981 · 2092098327453367265488153_<25> · 1313437274082906131865018524905745892254428247173_<49> · 532939316067522452437009431855311310168767228534802154162283932019_<66> (Greg Childers / GGNFS)

10¹⁴⁹-3 =

(9)₁₄₈7_<149>

= 19 · 71 · 83 · 37573 · 721606590563161_<15> · 420200185405225537573496373857_<30> · 1609561207914191556407872402061_<31> · 48704586230979775559414535682143440300694313427376479940972273211_<65> (Makoto Kamada / GGNFS 0.53.0 / Total time: 36.29 hours (actual time: 36.80 hours) for P31) (Tyler Cadigan / PPSIQS / 36:10:45:00 for P30)

10¹⁵⁰-3 =

(9)₁₄₉7_<150>

= 661 · 219409451 · 6895141923876014443100467567268146905392631159761548211356179806046580541762123711605009064193916116161237785444672604185827887558556248027_<139>

10¹⁵¹-3 =

(9)₁₅₀7_<151>

= 7 · 7573 · 50971 · 15184543441_<11> · 243730068585584478919182949523798132584320178650870239133429187809547647306294989019226082403597339278196991144092927702654687675757_<132>

10¹⁵²-3 =

(9)₁₅₁7_<152>

= 23 · 4561 · 40897 · 45437738891493992896561871_<26> · 512984128812055898727627163802656238643682023750525699947488641903977639699485179154894795956496215898216541692634677_<117>

10¹⁵³-3 =

(9)₁₅₂7_<153>

= 35603 · 108127 · 68063329 · 248622154980379092461_<21> · 300828367847782232594681513978143_<33> · 51027871295477704495929106254743812373411107183903051725312804583423782028610309611_<83> (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=970664626 for P33 / May 14, 2005)

10¹⁵⁴-3 =

(9)₁₅₃7_<154>

= 13 · 11243 · 6067869097_<10> · 1640121535660974334937516641312705897_<37> · 632474589733957453044658343116704489644784209341_<48> · 10869739116142629212501414649177235931983515829671794207_<56> (suberi / GGNFS-0.77.1-20060513-pentium4 / 37.22 hours on Pentium 4 2.26GHz, Windows XP and Cygwin / Jun 24, 2006)

10¹⁵⁵-3 =

(9)₁₅₄7_<155>

= 17 · 103 · 12007 · 154880702153_<12> · 391686191030529649_<18> · 78405002635391457030676706184615649785350711027657238478281095755337430351474499513887628112682439095176668630029454693_<119>

10¹⁵⁶-3 =

(9)₁₅₅7_<156>

= 47 · 193 · 123229 · 216167489536594248535065060052412135027_<39> · 272299045624505473727969700938204637516311713_<45> · 15198313925884879986745118948436722105397649149262271143998265333_<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 25.97 hours on Cygwin on AMD 64 3400+ / Apr 11, 2007)

10¹⁵⁷-3 =

(9)₁₅₆7_<157>

= 7 · 20931943 · 59535608413_<11> · 1146345737263487202260106834601213235154300950255680685786659448040558774755069512496959672228916815351320280319430705170599927403331513169_<139>

10¹⁵⁸-3 =

(9)₁₅₇7_<158>

= 18148299747349_<14> · 722833212759131_<15> · 8287054737166991_<16> · 919868505139973359950095591853139091124511216455186709452186566975892509034778546678321136339914604508216901712293_<114>

10¹⁵⁹-3 =

(9)₁₅₈7_<159>

= 1829717473047571_<16> · 1841110211004241_<16> · 224446788508453775541671_<24> · 1338658590656655944935771_<25> · 987990919041950689473460539182933582912002522808957325027816830283534661995265547_<81>

10¹⁶⁰-3 =

(9)₁₅₉7_<160>

= 13 · 383 · 52771123082243438120761219452533939_<35> · 3104829324566476660204837376960208819056316254480075411_<55> · 12258118210972106300910696745912453876036288591144435630300652094167_<68> (Patrick Keller / GMP-ECM / B1=1000000, sigma=2766282211 / Jun 14, 2005) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 24.28 hours on Core 2 Quad Q6600 / Oct 26, 2007)

10¹⁶¹-3 =

(9)₁₆₀7_<161>

= 1832934247661461281400687301882801770474799900077065371833785212553683_<70> · 54557330753999730405854658459191838430800911789742566920056359690858206347228970175385246959_<92> (Samuel Chong / GGNFS-0.77.1 / 60.24 hours on dual Athlon MP 2600+ (2.0GHz Bartons), 3GB RAM / Jun 29, 2005)

10¹⁶²-3 =

(9)₁₆₁7_<162>

= 61 · 28573 · 2863453 · 354182214425353_<15> · 63956593517591989_<17> · 1666703277450239029_<19> · 5307058833843425144878832431602327295573609756552142363190498888641659020136398337312984088684612281_<100>

10¹⁶³-3 =

(9)₁₆₂7_<163>

= 7 · 857 · 101212127218177995051360397159896256673_<39> · 53769799816620504426761135790381137170338896156057801450767_<59> · 306302235001175754564541527345578429311753804119402165243024733_<63> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 70.90 hours on PentiumM 760, Windows XP and Cygwin / Oct 26, 2005)

10¹⁶⁴-3 =

(9)₁₆₃7_<164>

= 78059 · 36841398161094229698993656374635785098993_<41> · 34772900113347798545372640730250755934955225972025356975366115874254163597722740653619367252030365507420285880379259431_<119> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 77.00 hours on Pentium M 760, Windows XP and Cygwin / Nov 1, 2005)

10¹⁶⁵-3 =

(9)₁₆₄7_<165>

= 431 · 56725169383_<11> · 6697081516361988272236718453873_<31> · 6107470012775150366829754092015054516474407019707159078145089779525145974239872649362120407931411527628863447502994173893_<121> (Patrick Keller / GMP-ECM B1=1000000, sigma=1182050795 for P31 / Jun 9, 2005)

10¹⁶⁶-3 =

(9)₁₆₅7_<166>

= 13 · 119301064770536868551_<21> · 6447811431610474163489067561741208740789494828388135936707382305996480761498633521317934527284276325497821886483378695170021429839503092367013319_<145>

10¹⁶⁷-3 =

(9)₁₆₆7_<167>

= 19 · 29 · 359 · 16301 · 45083 · 18584261089_<11> · 31526805695475073355593889809_<29> · 1174090648077126681817106763823790572520076120924866337337210638180510291756960164289667261485502749802903120385251_<115> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1548422000)

10¹⁶⁸-3 =

(9)₁₆₇7_<168>

= 757 · 24733 · 13293083 · 869228495029187_<15> · 3574884941983036986718429117_<28> · 975590727494159829512394250459329181_<36> · 1325372390074496447669080069340310031238497245742542719972705527019954706661_<76> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1226392717 for P28) (Kenichiro Yamaguchi / GMP-ECM 6.0 B1=3000000, sigma=3602923848 for P36 / May 14, 2005)

10¹⁶⁹-3 =

(9)₁₆₈7_<169>

= 7 · 191 · 997 · 937984031 · 7997937200838313892127931718655153495116865289194887268859458211494173410942165025423695566604040066364480326329558069663167876425851246077505828792450783_<154>

10¹⁷⁰-3 =

(9)₁₆₉7_<170>

= 38817280012777264790994290797_<29> · 785177523560258358188968099569100871126763206274307022292736906310723_<69> · 3281006120624321591156094138451344572368459459917701683211206237910480987_<73> (Patrick Keller / GMP-ECM B1=50000 ,sigma=1310433814 for P29 / Jun 9, 2005) (Kenichiro Yamaguchi / GGNFS-0.77.1 / 117.10 hours / PentiumM 760, Windows XP and Cygwin / Nov 8, 2005)

10¹⁷¹-3 =

(9)₁₇₀7_<171>

= 17 · 1321 · 12853 · 3464525430120745536354805319810671584361881931738032778228475966245835497521320871384548149369868130565394162990421200406717269963938898091265099558109828511846257_<163>

10¹⁷²-3 =

(9)₁₇₁7_<172>

= 13 · 601 · 2412439469605103_<16> · 19951191129181681573453_<23> · 47695920600537482943787602169976077_<35> · 557539556864326003687860376816030662505048470832785370594510043757742996211567557732388956389983_<96> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3844216337)

10¹⁷³-3 =

(9)₁₇₂7_<173>

= 379 · 443 · 587 · 15166668857_<11> · 47348365966898498973654947_<26> · 35007558660244164081437512887499_<32> · 40361001768340277480175803085457851847516030385154257084426979718995820425855241290021507034719463_<98> (Patrick Keller / GMP-ECM B1=1000000, sigma=3747880546 for P32 / Jun 11, 2005)

10¹⁷⁴-3 =

(9)₁₇₃7_<174>

= 23 · 1163 · 9186220463951276381973369277117_<31> · 4069636176380580243700448677397479416475319991645050276797201393172279819383880927886129587096100310693561839604958692725968199665999961109_<139> (Makoto Kamada / GMP-ECM 5.0.3 B1=100840, sigma=3620393782)

10¹⁷⁵-3 =

(9)₁₇₄7_<175>

= 7 · 1597 · 29881 · 172999063 · 9268821528859618014021841051698997978389808253059_<49> · 18669541205894303564860318174560332272211175169567548259092720680541673892290464197693810037820913078505439459_<110> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 291.77 hours on PentiumM 1.3GHz, Windows XP and Cygwin / Nov 20, 2005)

10¹⁷⁶-3 =

(9)₁₇₅7_<176>

= 1630871011403_<13> · 274954356330508669_<18> · 6165326947505579813146109111140967_<34> · 15902473362316519828155848907387241210869028241932019_<53> · 2274568355541311973196278737571018169468417735311027313697927_<61> (Patrick Keller / GMP-ECM B1=1000000, sigma=632850258 for P34 / Jun 11, 2005) (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P53 x P61 / 49.15 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / May 6, 2006)

10¹⁷⁷-3 =

(9)₁₇₆7_<177>

= 55371362340947_<14> · 18059877122808340430742244613013563327679471278269573829298683525648181599376757758591753124682350190319081363056956527632819340314820942596332452226987651316311151_<164>

10¹⁷⁸-3 =

(9)₁₇₇7_<178>

= 13 · 887 · 10847 · [79950905666669947318829189023504982624389597821120354119830593305197383715345289932645119668396902871410393219581156873135110146803694310686357178256548496856214460373321_<170>] SUBMIT/RESERVE

10¹⁷⁹-3 =

(9)₁₇₈7_<179>

= 47527552610960667080491218952801922312569073_<44> · 38918563279240249010933742596447312973214118388632853991466677_<62> · 54062702222061890579230284912359478718122077297383163210696543917211696057_<74> (Kenichiro Yamaguchi / GGNFS-0.77.1 / 623.03 hours on Pentium M 1.3GHz, Windows XP and Cygwin / Jan 1, 2006)

10¹⁸⁰-3 =

(9)₁₇₉7_<180>

= 1367 · 157273 · 3065749 · 11776081 · 203111927 · 1997982784607846287288591439_<28> · 884403266401745403066662061337_<30> · 358973532348162743960395756571356050806941762717102886738109229779498599592784184526510037463_<93> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4115912066)

10¹⁸¹-3 =

(9)₁₈₀7_<181>

= 7² · 1109 · 22283 · 276839 · 567778372236420859008223_<24> · [52540305819116930956808349785897320788889785558092422224013003441803811524703086188094107375466421678391648650754442319988838303366367328104067_<143>] SUBMIT/RESERVE

10¹⁸²-3 =

(9)₁₈₁7_<182>

= 65534081280247754710444002932518609571718586565539736236949437_<62> · 1525923581233455345160090558666254929382951100902891094757531494547444044927553100912619162340394581853825038559214658881_<121> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 266.82 hours on Core 2 Quad Q6600 / Aug 25, 2007)

10¹⁸³-3 =

(9)₁₈₂7_<183>

= 12923 · 17483 · 25178196771757422913199_<23> · [175790772573168628123882459544293863504571995468093214648655228684550209634532372946253410661518081657531896227593819478128938329639194607798477286564667_<153>] SUBMIT/RESERVE

10¹⁸⁴-3 =

(9)₁₈₃7_<184>

= 13² · 71 · 682781111 · 21237789308365515286691_<23> · 59850981433891272224551448459_<29> · 35526514573141366935363086929873_<32> · 27029640058852148978865133701306270767865770018364227207516059812926505552026723332704229_<89> (Patrick Keller / GMP-ECM B1=250000, sigma=709592471 for P32, B1=B1=1000000, sigma=2309701949 for P29 / Jun 9, 2005)

10¹⁸⁵-3 =

(9)₁₈₄7_<185>

= 19 · 834149 · 209205551 · 14115364562059472946776292563_<29> · 26150471097842868319059494133157249_<35> · 81706751742101878914198180697174396445076811730083317624603767885137213081489306839670834484075902356418751_<107> (Makoto Kamada / GMP-ECM 5.0.3 B1=4000000, sigma=85275757 for P35 / Feb 28, 2005)

10¹⁸⁶-3 =

(9)₁₈₅7_<186>

= 2794375354729699423195302414791_<31> · [357861730460591695334295972163707008646716815727382711793133213691689104359175453265821274899204460799312954283262817577846710943629938175631885534582999067_<156>] (Patrick Keller / GMP-ECM B1=250000, sigma=3937309623 for P31 / Jun 9, 2005) SUBMIT/RESERVE

10¹⁸⁷-3 =

(9)₁₈₆7_<187>

= 7 · 17 · 26384109373_<11> · 120481823420297_<15> · 26435593693254727464251812484252639464200435992901604382899490599643545266965330830563291255340298310876315241349765520028520079300391507697131934074806361172623_<161>

10¹⁸⁸-3 =

(9)₁₈₇7_<188>

= 330546084791304846847511_<24> · 3562247528919238271756225579280817_<34> · 4509864049590597579503737782555387503_<37> · 18831305910794443918566298283063276453852879246305489811969783216115588049782475570558077809077_<95> (Patrick Keller / GMP-ECM B1=1000000, sigma=1742325444 for P34 / Jun 11, 2005) (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=2583964877 for P37 / Mar 28, 2007)

10¹⁸⁹-3 =

(9)₁₈₈7_<189>

= 103 · 1127252375215559_<16> · [8612745537325760868441033599226632997121068496786773136905811257848817855405279096090369798102619397630904262348666666606310218128601127729973206679135802071576297688956461_<172>] SUBMIT/RESERVE

10¹⁹⁰-3 =

(9)₁₈₉7_<190>

= 13 · 83 · 4643 · 60176382186443_<14> · 24247727135706472746493_<23> · 15856958895942670619463887_<26> · 33133578244863317770306493209_<29> · 2603721449712924915210778259443446461003757003516119146794621306240164054740371466779177155953_<94> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3946195788 for P26) (Patrick Keller / GMP-ECM B1=50000, sigma=1951224432 for P29 / Jun 9, 2005)

10¹⁹¹-3 =

(9)₁₉₀7_<191>

= 113 · 2454455881_<10> · 13778267355178489115141197_<26> · 4177672914958740985247164938293269252349_<40> · 6263791373890807735811613899906525630519387461611911965595048014000039506928204827175275652877326155130619692271533_<115> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1441291383 for P26) (Serge Batalov / GMP-ECM 6.2.1 B1=11000000, sigma=1596751792 for P40 / Jul 17, 2008)

10¹⁹²-3 =

(9)₁₉₁7_<192>

= 3373 · 1103279 · 30864312787215673925304239_<26> · 728214226699773901950646153594957_<33> · [11955907219789388090396927468596102846705760576688639467787460136053127454112956393569754103555054189544180606793438498318517_<125>] (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=3414895645 for P26) (Patrick Keller / GMP-ECM B1=50000, sigma=4283842155 for P31 / Jun 9, 2005) SUBMIT/RESERVE

10¹⁹³-3 =

(9)₁₉₂7_<193>

= 7 · 877 · 8231 · 1678751 · 2788197000323965150474047104253804184927_<40> · [42280491275836758755087153978652869290832724846826455289157915903635208116355748143771841425689564560801169376081032947336654089972281806529_<140>] (suberi / GMP-ECM 6.1.2 B1=1500000, sigma=1764724577 for P40 / Mar 30, 2007) SUBMIT/RESERVE

10¹⁹⁴-3 =

(9)₁₉₃7_<194>

= 97 · 2797 · 13068964567247_<14> · 670549628153749_<15> · 33277844999548027200089593129_<29> · 1263887731759476343000875801231412637930730552439455420562992121150851058349170733639270998372943091867382096788885439846712019565259_<133> (Shusuke Kubota / GMP-ECM 5.0.3 P-1 B1=50000000, B2=7260750615 for P29)

10¹⁹⁵-3 =

(9)₁₉₄7_<195>

= 29 · 757 · 10957 · 20143 · 353847791062159699_<18> · [583275613848394211006060846973932998595716812487368173531414589234865038225997375003991107373880894511318430122892924560677852100967255421279281522854103254996749701_<165>] SUBMIT/RESERVE

10¹⁹⁶-3 =

(9)₁₉₅7_<196>

= 13 · 23 · 769 · 13230939634531520926993_<23> · 925002610176773043912732992351_<30> · [3553602327402028893556119121731169668177136744575884432068937264628665391192256931521572516434709261481036470145815539584064245135671768409_<139>] (Patrick Keller / GMP-ECM B1=250000, sigma=2342286727 for P30 / Jun 9, 2005) SUBMIT/RESERVE

10¹⁹⁷-3 =

(9)₁₉₆7_<197>

= 310081 · 7705783 · 19800200290640756281384783_<26> · 2113676338782529383631911341697070869314713846244158628386025817812523873083823305465977453836754943580723873981756958063209332596570098946045694781651672856933_<160> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1257002304)

10¹⁹⁸-3 =

(9)₁₉₇7_<198>

= 107 · 41953 · 2073251 · [107448737434165313517972286273815956146469145253439951211838074216318518014315427149268366173566542676438770321849032685439693540474399864489558926246842999936113580658744999080304872957_<186>] SUBMIT/RESERVE

10¹⁹⁹-3 =

(9)₁₉₈7_<199>

= 7 · 216878171849094139_<18> · [6586976533375806656026420070382308141629367098553920660678210994865646716850962879287115779482098832338280819748307076911975512973091245750400255587262005488705451646057080043401889_<181>] SUBMIT/RESERVE

10²⁰⁰-3 =

(9)₁₉₉7_<200>

= 709 · 9851 · 534746072974693544711_<21> · 26774775732017631627514624545783732791434385215877533890041040259902843412544963322536165460075231707657753257242364780631714040810943945024002334970573964625100669885838253_<173>