Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 7·10¹+3 = 73 is prime. (Julien Peter Benney / Sep 7, 2004)
2. 7·10⁴+3 = 70003 is prime. (Julien Peter Benney / Sep 7, 2004)
3. 7·10⁶+3 = 7000003 is prime. (Julien Peter Benney / Sep 7, 2004)
4. 7·10¹⁶+3 = 7(0)₁₅3_<17> is prime. (Julien Peter Benney / Sep 7, 2004)
5. 7·10²²+3 = 7(0)₂₁3_<23> is prime. (Julien Peter Benney / Sep 7, 2004)
6. 7·10³⁹+3 = 7(0)₃₈3_<40> is prime. (Julien Peter Benney / Sep 7, 2004)
7. 7·10¹⁰³+3 = 7(0)₁₀₂3_<104> is prime. (Julien Peter Benney / Sep 7, 2004)
8. 7·10¹⁶³+3 = 7(0)₁₆₂3_<164> is prime. (Julien Peter Benney / Sep 7, 2004)
9. 7·10²⁴⁰+3 = 7(0)₂₃₉3_<241> is prime. (Julien Peter Benney / Sep 7, 2004)
10. 7·10¹⁰⁴⁸+3 = 7(0)₁₀₄₇3_<1049> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 14, 2006)
11. 7·10¹⁹⁷⁴+3 = 7(0)₁₉₇₃3_<1975> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 17, 2006)
12. 7·10²⁵⁵⁹+3 = 7(0)₂₅₅₈3_<2560> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by suberi / PRIMO 3.0.4 / Sep 24, 2007)
13. 7·10⁵⁸⁸⁰+3 = 7(0)₅₈₇₉3_<5881> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)

• 1-10000

• A097970 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

7·10¹+3 =

73

= definitely prime number

7·10²+3 =

703

= 19 · 37

7·10³+3 =

7003

= 47 · 149

7·10⁴+3 =

70003

= definitely prime number

7·10⁵+3 =

700003

= 37 · 18919

7·10⁶+3 =

7000003

= definitely prime number

7·10⁷+3 =

70000003

= 431 · 162413

7·10⁸+3 =

700000003

= 37 · 18918919

7·10⁹+3 =

7000000003_<10>

= 73 · 379 · 503²

7·10¹⁰+3 =

70000000003_<11>

= 17 · 23 · 71 · 827 · 3049

7·10¹¹+3 =

700000000003_<12>

= 37 · 18918918919_<11>

7·10¹²+3 =

7000000000003_<13>

= 31 · 199 · 1134705787_<10>

7·10¹³+3 =

70000000000003_<14>

= 8279539 · 8454577

7·10¹⁴+3 =

700000000000003_<15>

= 37 · 218843 · 86449733

7·10¹⁵+3 =

7000000000000003_<16>

= 2441 · 995023 · 2882021

7·10¹⁶+3 =

70000000000000003_<17>

= definitely prime number

7·10¹⁷+3 =

700000000000000003_<18>

= 37 · 59 · 73 · 1049 · 4187414533_<10>

7·10¹⁸+3 =

7000000000000000003_<19>

= 89² · 41443 · 80747 · 264083

7·10¹⁹+3 =

70000000000000000003_<20>

= 2557 · 29804867 · 918502037

7·10²⁰+3 =

700000000000000000003_<21>

= 19 · 37 · 995732574679943101_<18>

7·10²¹+3 =

7000000000000000000003_<22>

= 29 · 162859 · 861797 · 1719821209_<10>

7·10²²+3 =

70000000000000000000003_<23>

= definitely prime number

7·10²³+3 =

700000000000000000000003_<24>

= 37 · 131 · 144419228388694037549_<21>

7·10²⁴+3 =

7000000000000000000000003_<25>

= 3011 · 21628169 · 107489868122617_<15>

7·10²⁵+3 =

70000000000000000000000003_<26>

= 73 · 443 · 19793 · 108793 · 1005214804873_<13>

7·10²⁶+3 =

700000000000000000000000003_<27>

= 17 · 37² · 5329217 · 5643938410859083_<16>

7·10²⁷+3 =

7000000000000000000000000003_<28>

= 31 · 419 · 538917545615520825313727_<24>

7·10²⁸+3 =

70000000000000000000000000003_<29>

= 269 · 10601 · 45449497 · 540094611485071_<15>

7·10²⁹+3 =

700000000000000000000000000003_<30>

= 37 · 127 · 389 · 3619151 · 105812333075482123_<18>

7·10³⁰+3 =

7000000000000000000000000000003_<31>

= 347 · 5323 · 3789763415897840971781963_<25>

7·10³¹+3 =

70000000000000000000000000000003_<32>

= 2179 · 41696363 · 19747905371_<11> · 39014100409_<11>

7·10³²+3 =

700000000000000000000000000000003_<33>

= 23 · 37 · 3041 · 83801567159_<11> · 3227750220099287_<16>

7·10³³+3 =

7000000000000000000000000000000003_<34>

= 73 · 521 · 170773 · 397807 · 1286953 · 2105150459777_<13>

7·10³⁴+3 =

70000000000000000000000000000000003_<35>

= 139 · 503597122302158273381294964028777_<33>

7·10³⁵+3 =

700000000000000000000000000000000003_<36>

= 37 · 1399 · 8527 · 5001175302709_<13> · 317110235848867_<15>

7·10³⁶+3 =

7000000000000000000000000000000000003_<37>

= 3347 · 2091425156856886764266507319988049_<34>

7·10³⁷+3 =

70000000000000000000000000000000000003_<38>

= 107 · 4968727 · 78118217 · 1685453613169208833831_<22>

7·10³⁸+3 =

700000000000000000000000000000000000003_<39>

= 19 · 37 · 4967 · 39821 · 50380721 · 99924507080031586583_<20>

7·10³⁹+3 =

7000000000000000000000000000000000000003_<40>

= definitely prime number

7·10⁴⁰+3 =

70000000000000000000000000000000000000003_<41>

= 6073 · 5028431 · 9336371299_<10> · 245518458609668754119_<21>

7·10⁴¹+3 =

700000000000000000000000000000000000000003_<42>

= 37 · 73 · 381606813145997_<15> · 679136912481567898730699_<24>

7·10⁴²+3 =

7000000000000000000000000000000000000000003_<43>

= 17 · 31 · 82942289 · 18989435591311_<14> · 8433334983673032691_<19>

7·10⁴³+3 =

70000000000000000000000000000000000000000003_<44>

= 65687 · 2552472279171967709_<19> · 417501055941749733241_<21>

7·10⁴⁴+3 =

700000000000000000000000000000000000000000003_<45>

= 37 · 509 · 37168799447777836775872139329899644241491_<41>

7·10⁴⁵+3 =

7000000000000000000000000000000000000000000003_<46>

= 71 · 661 · 4451 · 29921131 · 224039852081_<12> · 4998933445471474433_<19>

7·10⁴⁶+3 =

70000000000000000000000000000000000000000000003_<47>

= 302597308627_<12> · 231330543941771448107229367806428689_<36>

7·10⁴⁷+3 =

700000000000000000000000000000000000000000000003_<48>

= 37 · 1123 · 1627 · 1867 · 5546061597838509372089665626454296517_<37>

7·10⁴⁸+3 =

7000000000000000000000000000000000000000000000003_<49>

= 100237 · 7373711 · 9470738987920673578770364540154004929_<37>

7·10⁴⁹+3 =

70000000000000000000000000000000000000000000000003_<50>

= 29 · 47 · 61 · 73 · 1453 · 566633 · 9814830305767373_<16> · 1427247253083751501_<19>

7·10⁵⁰+3 =

700000000000000000000000000000000000000000000000003_<51>

= 37 · 749562861861318382769_<21> · 25239936343616813435267543351_<29>

7·10⁵¹+3 =

7000000000000000000000000000000000000000000000000003_<52>

= 24389347 · 287010554239111034830083806671822742937726049_<45>

7·10⁵²+3 =

70000000000000000000000000000000000000000000000000003_<53>

= 8431 · 6032898669642243199_<19> · 1376236018405101648256080859987_<31>

7·10⁵³+3 =

700000000000000000000000000000000000000000000000000003_<54>

= 37 · 72817 · 1937953 · 382113816734066933_<18> · 350854904593510277162843_<24>

7·10⁵⁴+3 =

7000000000000000000000000000000000000000000000000000003_<55>

= 23 · 12721 · 19910463163_<11> · 136572980418849173_<18> · 8798381749283302925059_<22>

7·10⁵⁵+3 =

70000000000000000000000000000000000000000000000000000003_<56>

= 191 · 102751531 · 2368178554907226877_<19> · 1506128155005487912438398659_<28>

7·10⁵⁶+3 =

700000000000000000000000000000000000000000000000000000003_<57>

= 19 · 37 · 74869 · 512029021883_<12> · 25974434731566763095365871333276915563_<38>

7·10⁵⁷+3 =

7000000000000000000000000000000000000000000000000000000003_<58>

= 31 · 73 · 4188337 · 5344247 · 102260328393131_<15> · 1351382101160513627356664809_<28>

7·10⁵⁸+3 =

70000000000000000000000000000000000000000000000000000000003_<59>

= 17 · 277 · 461 · 1129 · 2310906293211283_<16> · 12359250849266324509191590161390921_<35>

7·10⁵⁹+3 =

700000000000000000000000000000000000000000000000000000000003_<60>

= 37 · 3593 · 8613868024309203048907_<22> · 611280983223493859615227033272269_<33>

7·10⁶⁰+3 =

7000000000000000000000000000000000000000000000000000000000003_<61>

= 27743 · 238538735269_<12> · 78240366615452683_<17> · 13519319415183249238388577323_<29>

7·10⁶¹+3 =

70000000000000000000000000000000000000000000000000000000000003_<62>

= 1483 · 7687 · 9511 · 70793 · 183797 · 496221359 · 150668771531483_<15> · 663661141811869849_<18>

7·10⁶²+3 =

700000000000000000000000000000000000000000000000000000000000003_<63>

= 37 · 89 · 212572122684482235044032796841785605830549650774369875493471_<60>

7·10⁶³+3 =

7000000000000000000000000000000000000000000000000000000000000003_<64>

= 113 · 61946902654867256637168141592920353982300884955752212389380531_<62>

7·10⁶⁴+3 =

70000000000000000000000000000000000000000000000000000000000000003_<65>

= 1973 · 100660729154531977_<18> · 352460848829086094947433551001005014854677343_<45>

7·10⁶⁵+3 =

700000000000000000000000000000000000000000000000000000000000000003_<66>

= 37 · 73 · 28435201 · 20977753441_<11> · 2678034970718467_<16> · 162234021139161700314156923749_<30>

7·10⁶⁶+3 =

7000000000000000000000000000000000000000000000000000000000000000003_<67>

= 1697 · 930656281 · 7728917771701966894842589_<25> · 573466691681854868740906615511_<30>

7·10⁶⁷+3 =

70000000000000000000000000000000000000000000000000000000000000000003_<68>

= 4936777053491_<13> · 14179291315272196466393952738015323376126233226178062833_<56>

7·10⁶⁸+3 =

700000000000000000000000000000000000000000000000000000000000000000003_<69>

= 37 · 193 · 619 · 60601 · 669659 · 18608727887814241_<17> · 209699875165920974563419558715441703_<36>

7·10⁶⁹+3 =

7000000000000000000000000000000000000000000000000000000000000000000003_<70>

= 173887737338537586978836129_<27> · 40255857642059480549186993689702864815439907_<44>

7·10⁷⁰+3 =

70000000000000000000000000000000000000000000000000000000000000000000003_<71>

= 7823 · 220949251 · 16178994737_<11> · 2503114075548444020360998910904996074815776627103_<49>

7·10⁷¹+3 =

700000000000000000000000000000000000000000000000000000000000000000000003_<72>

= 37 · 127 · 293 · 69067 · 12854759 · 395803621 · 1446807263177265233672652226440282267567072133_<46>

7·10⁷²+3 =

7000000000000000000000000000000000000000000000000000000000000000000000003_<73>

= 31 · 16356751 · 2340591634189_<13> · 5898120693798185395744147552615103390145346469886367_<52>

7·10⁷³+3 =

70000000000000000000000000000000000000000000000000000000000000000000000003_<74>

= 73 · 4673 · 2857711 · 10209799 · 79187384312853143_<17> · 88815323572289303209987619820673754341_<38>

7·10⁷⁴+3 =

700000000000000000000000000000000000000000000000000000000000000000000000003_<75>

= 17 · 19 · 37 · 57613818950730495168923_<23> · 63389240387291600908937_<23> · 16038050719104036452467103_<26>

7·10⁷⁵+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000003_<76>

= 59 · 881 · 430510464405529097_<18> · 312814162764180274673777190185028559555922545807610081_<54>

7·10⁷⁶+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000003_<77>

= 23 · 857 · 12042608190371153_<17> · 219847012337972745665437_<24> · 1341368975505329520693615169090193_<34>

7·10⁷⁷+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000003_<78>

= 29 · 37 · 6827 · 9337 · 10289 · 2756510632466374221777091442819_<31> · 360851252603682393164477684328379_<33>

7·10⁷⁸+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000003_<79>

= 2367284929_<10> · 2956974006063973890149325577867521666632466446120816747699575288429507_<70>

7·10⁷⁹+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000003_<80>

= 2803 · 323699 · 786357080437182868178134838053_<30> · 98110114585870646608966603457662892593583_<41> (Makoto Kamada / msieve 0.83)

7·10⁸⁰+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000003_<81>

= 37 · 71 · 139 · 54609794767226863_<17> · 37491349731843928110181543061_<29> · 936314063964432494275383997657_<30>

7·10⁸¹+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000003_<82>

= 73 · 739 · 65788857698602513_<17> · 1972324619173110934014122966523734746806468458217080449948873_<61>

7·10⁸²+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000003_<83>

= 11605960687_<11> · 56797820400025342328862697_<26> · 106190404414860719984812806891288546309165632677_<48>

7·10⁸³+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000000003_<84>

= 37 · 191520055240951_<15> · 320947808440067_<15> · 307785136491684725872333178444983348123321172322243707_<54>

7·10⁸⁴+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<85>

= 179354807 · 39028783878650099408821532171144986373295252688711041907006150105583732695829_<77>

7·10⁸⁵+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<86>

= 521 · 4231 · 22853 · 13220808901_<11> · 2211334782726803935956510331_<28> · 47529314081865549689931581435110935871_<38>

7·10⁸⁶+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<87>

= 37 · 2377 · 2599658317_<10> · 3061617019600199308342265007622546506178275318776229859681803848981060491_<73>

7·10⁸⁷+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<88>

= 31 · 5340200312976967_<16> · 42284266203307336368434910202178396774739052422268006448720891792319739_<71>

7·10⁸⁸+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<89>

= 172148841414205902090241764827236561_<36> · 406624868485600664233318057044925358316686761169023123_<54> (Makoto Kamada / GGNFS-0.70.3 / 0.14 hours)

7·10⁸⁹+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<90>

= 37 · 73 · 313 · 67281165463_<11> · 12306529935638987421213603187769214793991610830464723197877649828765597137_<74>

7·10⁹⁰+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<91>

= 17 · 107 · 1063 · 4691 · 1458749 · 50691871 · 23011725523786513222190760199_<29> · 453522215822751428959200344094328654609_<39>

7·10⁹¹+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<92>

= 787 · 1571 · 8929 · 1236297857903767_<16> · 816646943495303646635369_<24> · 6280393304778504628636119651022288626892117_<43>

7·10⁹²+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<93>

= 19 · 37 · 359 · 2908271 · 23711881 · 1298922472957_<13> · 442355914879419007_<18> · 69999077645998966691545482711291387001950511_<44>

7·10⁹³+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<94>

= 97 · 163859 · 432357697033_<12> · 3958299705337_<13> · 257338127617434101786891673873770926734968627025925126838344241_<63>

7·10⁹⁴+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<95>

= 42139 · 28072733139049_<14> · 422522728446857499995021897_<27> · 140048687152761077323790999317989342736433769646409_<51>

7·10⁹⁵+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<96>

= 37 · 47 · 1087 · 24749 · 1589778503_<10> · 88121919273006163_<17> · 106804780226580541740150695089251552881834137227623150357111_<60>

7·10⁹⁶+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<97>

= 1277137 · 758640293 · 7224780343515691901762634225996096609576621025841511346216663678738308316724103383_<82>

7·10⁹⁷+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<98>

= 73 · 9539 · 1057291 · 10849301 · 1553772995569_<13> · 42929366127936416233139_<23> · 131381432333586171612770896914372706250669429_<45>

7·10⁹⁸+3 =

700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<99>

= 23 · 37 · 314077 · 1824523394303_<13> · 13128394015929449_<17> · 109338045710575684050814792659497213706098346630468054059129987_<63>

7·10⁹⁹+3 =

7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<100>

= 3721631 · 40127119140739769869_<20> · 46873431455466153445394850477615578381812674769089931057245821372648612177_<74>

7·10¹⁰⁰+3 =

70000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<101>

= 45198479 · 1146794639_<10> · 24565244637631441_<17> · 72828280143847901461556239_<26> · 754861747261501417728155105126304381583837_<42>

7·10¹⁰¹+3 =

7(0)₁₀₀3_<102>

= 37 · 22709 · 833102246638729971329381254961421415250293668541940152314893606892373901048875728518161033903691_<96>

7·10¹⁰²+3 =

7(0)₁₀₁3_<103>

= 31 · 109 · 218458834435204518225157303_<27> · 9482879589157446474673484064735583326177687114602581017293041369451847319_<73>

7·10¹⁰³+3 =

7(0)₁₀₂3_<104>

= definitely prime number

7·10¹⁰⁴+3 =

7(0)₁₀₃3_<105>

= 37 · 10871221 · 5169682807715605493_<19> · 336630989875194108765240828121579926889120985272434568122702269209669481193023_<78>

7·10¹⁰⁵+3 =

7(0)₁₀₄3_<106>

= 29 · 73 · 24083987 · 137293127385205135204051721013678821053074477905168205332159731648723537539107467545228731251357_<96>

7·10¹⁰⁶+3 =

7(0)₁₀₅3_<107>

= 17 · 89 · 1187 · 5256725437807406804389_<22> · 7414691716480231217520181086618968088583107383108395058908222269611234464571717_<79>

7·10¹⁰⁷+3 =

7(0)₁₀₆3_<108>

= 37 · 83635418281_<11> · 140299365803_<12> · 4117060791541_<13> · 826889092214855513_<18> · 473604512874832354070314796392028912847740003713816801_<54>

7·10¹⁰⁸+3 =

7(0)₁₀₇3_<109>

= 15932731 · 21135103243411643094225839323775893_<35> · 20787556496228678876263628963578198111397575572164064323810422220341_<68> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 1.97 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 3, 2007)

7·10¹⁰⁹+3 =

7(0)₁₀₈3_<110>

= 61 · 283 · 6833 · 3752738047_<10> · 94998794192060872628935849323365693_<35> · 1664577444559100089652031980780871295487207378438987754367_<58> (Robert Backstrom / Msieve v. 1.25 for P35 x P58 / 02:06:42 on AMD 64 3400+ / Jul 31, 2007)

7·10¹¹⁰+3 =

7(0)₁₀₉3_<111>

= 19 · 37 · 62760724109_<11> · 84761407142803_<14> · 803154437998628211087235799_<27> · 233054529447123663329871970637744890768721638386616333837_<57>

7·10¹¹¹+3 =

7(0)₁₁₀3_<112>

= 199 · 78101 · 3325898053_<10> · 77728044727_<11> · 3697427755380236234627_<22> · 471196435114465723546238321975910409617411023105411046696555481_<63>

7·10¹¹²+3 =

7(0)₁₁₁3_<113>

= 72077 · 46448851699_<11> · 11035256564809_<14> · 1894715121853558670446882736556831311166778905145114951475045713704506218685892610829_<85>

7·10¹¹³+3 =

7(0)₁₁₂3_<114>

= 37 · 73 · 127 · 523 · 20143 · 16454791 · 15906103516637_<14> · 3406569578578088551_<19> · 936855969321695091127_<21> · 231898332726876894907707540283208639560439_<42>

7·10¹¹⁴+3 =

7(0)₁₁₃3_<115>

= 48593 · 4986920837_<10> · 1350260504323_<13> · 377177032131509861_<18> · 1142155916718289309_<19> · 49659650238040515294223068397416732858526996543916429_<53>

7·10¹¹⁵+3 =

7(0)₁₁₄3_<116>

= 71 · 571 · 1753 · 41759 · 101687624751179_<15> · 229383234010881253145836095413674027664523319_<45> · 1011211039809810274754617373533701326457880829_<46> (Sinkiti Sibata / Msieve v. 1.23 for P45 x P46 / 09:45:05 on Celeron 750MHz,Windows 2000 / Jul 31, 2007)

7·10¹¹⁶+3 =

7(0)₁₁₅3_<117>

= 37 · 223 · 829639 · 679469613595983877_<18> · 316259956988478262729_<21> · 475869692991096230910420889144359168075567344417898165610155914471419_<69>

7·10¹¹⁷+3 =

7(0)₁₁₆3_<118>

= 31 · 796610382478821640289686993942482559318724926882166707_<54> · 283459086875391589955150402968360965955345854041338678737403759_<63> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 1.23 hours on Cygwin on AMD 64 3400+ / Jul 31, 2007)

7·10¹¹⁸+3 =

7(0)₁₁₇3_<119>

= 179 · 491 · 841873 · 15347665259486976996421_<23> · 1139407170046294248864777606642001_<34> · 54099801183923492995938105985141721603808960886335319_<53> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1580992944 for P34 / Jul 23, 2007)

7·10¹¹⁹+3 =

7(0)₁₁₈3_<120>

= 37 · 26029 · 591691 · 125313757 · 35091539471_<11> · 279346154535902448842097031259446400522154284661319800201432279924844739094548346598832243_<90>

7·10¹²⁰+3 =

7(0)₁₁₉3_<121>

= 23 · 366479 · 490913 · 787073943986243214424803305243_<30> · 2149319812250807291486495152588101029793779750183550066121886943689304730180801_<79> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 1.62 hours on Cygwin on AMD 64 3400+ / Aug 1, 2007)

7·10¹²¹+3 =

7(0)₁₂₀3_<122>

= 73 · 14519 · 12297783804432233_<17> · 5370461663804082728489673368790562330545934356189330671883291090032385064275977876996106012255214693_<100>

7·10¹²²+3 =

7(0)₁₂₁3_<123>

= 17³ · 37 · 34057 · 121139 · 447641 · 1966357949_<10> · 36803587049889567164794261972333592412847_<41> · 28812211472214508546521155757658327809127986705923647_<53> (Robert Backstrom / Msieve v. 1.25 for P41 x P53 / 02:18:11 on AMD 64 3400+ / Jul 31, 2007)

7·10¹²³+3 =

7(0)₁₂₂3_<124>

= 1051 · 6660323501427212178877259752616555661274976213130352045670789724072312083729781160799238820171265461465271170313986679353_<121>

7·10¹²⁴+3 =

7(0)₁₂₃3_<125>

= 15204354063320977_<17> · 39852682630033327_<17> · 16454979289548367744901143_<26> · 7020615117095165460306277936299814957685144453038459247590208667499_<67>

7·10¹²⁵+3 =

7(0)₁₂₄3_<126>

= 37 · 499 · 13699452564493006814819701274146501315424887911148777_<53> · 2767531402418291140749455418859878737861230939330176281407585478703253_<70> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 2.02 hours on Cygwin on AMD 64 3200+ / Aug 2, 2007)

7·10¹²⁶+3 =

7(0)₁₂₅3_<127>

= 139 · 3467 · 121267 · 43013903 · 486725599 · 22607898319_<11> · 4453779204725453740170721_<25> · 56820473731842723734333158728988035577213359550080351146041187431_<65>

7·10¹²⁷+3 =

7(0)₁₂₆3_<128>

= 277 · 683 · 101758248455110600982078958785140824830321627783059244018899_<60> · 3636034073135055601486854090198041730366400527898690994554262567_<64> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 2.70 hours on Cygwin on AMD 64 3200+ / Aug 2, 2007)

7·10¹²⁸+3 =

7(0)₁₂₇3_<129>

= 19 · 37 · 26282295373764725335115813_<26> · 37886058295878306213616108946850864776727658896365098036372977202899697535501526642168774128806363577_<101>

7·10¹²⁹+3 =

7(0)₁₂₈3_<130>

= 73 · 520369286050301_<15> · 270808955508136127278993_<24> · 680456712526241661156953703291776730767927997652114292035446362319384582992378750808175127_<90>

7·10¹³⁰+3 =

7(0)₁₂₉3_<131>

= 20346317 · 99919903 · 232724273 · 968648957 · 55425339049583230640793394931_<29> · 2755775112490202917983700300340486561295646135907138645419544894886583_<70>

7·10¹³¹+3 =

7(0)₁₃₀3_<132>

= 37 · 167 · 821 · 86381 · 8277265193_<10> · 1909043502241_<13> · 11221997190059_<14> · 245476063044641766698278446037400797293497_<42> · 36697498431299323192437388994595232599875443_<44> (Robert Backstrom / Msieve v. 1.25 for P42 x P44 / 00:31:35 on AMD 64 3400+ / Jul 31, 2007)

7·10¹³²+3 =

7(0)₁₃₁3_<133>

= 31 · 1897144835436283709_<19> · 1514672391291856973675707124754820474913203927051_<49> · 78580927206153670651740539814203277361304443804223185859614493507_<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 4.29 hours on Cygwin on AMD XP 2700+ / Aug 2, 2007)

7·10¹³³+3 =

7(0)₁₃₂3_<134>

= 29 · 59 · 1741 · 19286399236854181_<17> · 46083256114156603252213_<23> · 8783383808652802647890907770843019907393_<40> · 3010184316154118713322706068056130317359871964857_<49> (Robert Backstrom / Msieve v. 1.25 for P40 x P49 / 00:43:56 on AMD 64 3400+ / Jul 31, 2007)

7·10¹³⁴+3 =

7(0)₁₃₃3_<135>

= 37 · 911 · 2477 · 3617 · 49545323 · 32882397982111_<14> · 5367062025418043120995211357_<28> · 265094467340820790612800457652637262397650002638915153761179523971580034861_<75>

7·10¹³⁵+3 =

7(0)₁₃₄3_<136>

= 75019561 · 127203697 · 498282829674007715259141593888416290550964085919_<48> · 1472135771787141323267702134218700861789671776680188265909145553844113061_<73> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 3.62 hours on Cygwin on AMD 64 3200+ / Aug 2, 2007)

7·10¹³⁶+3 =

7(0)₁₃₅3_<137>

= 189532579450789969799143826592293_<33> · 2381835865531583487969941738318774107993447_<43> · 155060912820934332646084226028944988675098343203271382941181793_<63> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 5.52 hours on Cygwin on AMD 64 3400+ / Jul 31, 2007)

7·10¹³⁷+3 =

7(0)₁₃₆3_<138>

= 37² · 73 · 373 · 521 · 18719 · 249341 · 960331 · 1467499879_<10> · 139631923964055191736784404269_<30> · 39243261185324721562992298947369650901900632234898044840233858916987494957_<74> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 9.59 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 2, 2007)

7·10¹³⁸+3 =

7(0)₁₃₇3_<139>

= 17 · 8243 · 68483 · 259690877 · 416873729 · 472302839 · 39500434691109480414761661938549_<32> · 361158125739483496643032610400546386075176007047634753673066706124874797_<72> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 12.90 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 3, 2007)

7·10¹³⁹+3 =

7(0)₁₃₈3_<140>

= 517222561 · 546738868367_<12> · 6655200828291269_<16> · 3981759409345941527_<19> · 57295780593317396927_<20> · 163035360899287075108627762760765546259653073401679508268751156769_<66>

7·10¹⁴⁰+3 =

7(0)₁₃₉3_<141>

= 37 · 8930917 · 113901888018295570523922817_<27> · 278323359075849334609317178348129_<33> · 66822032691525636457754568132542380413223137289570793768530446299737118299_<74> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 9.94 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 2, 2007)

7·10¹⁴¹+3 =

7(0)₁₄₀3_<142>

= 47 · 1277 · 3825553989407_<13> · 541714739387789911_<18> · 9465590749942502839939485961_<28> · 5945612121765785967914201933760528425476584189513474451167602728122232328084321_<79>

7·10¹⁴²+3 =

7(0)₁₄₁3_<143>

= 23 · 3043478260869565217391304347826086956521739130434782608695652173913043478260869565217391304347826086956521739130434782608695652173913043478261_<142>

7·10¹⁴³+3 =

7(0)₁₄₂3_<144>

= 37 · 107 · 181 · 42929 · 55778925763273769417_<20> · 99615388886871440186141889727022388487187792018971_<50> · 4095308385474807274359199791739966295408609792078800566560390219_<64> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 8.69 hours on Cygwin on AMD 64 3200+ / Aug 6, 2007)

7·10¹⁴⁴+3 =

7(0)₁₄₃3_<145>

= 109883 · 8375489 · 33739941640193_<14> · 569413262237671_<15> · 395899956791067921005824301163988070692468421748818928744972305528613757396282289391957630313326277780223_<105>

7·10¹⁴⁵+3 =

7(0)₁₄₄3_<146>

= 73 · 28793 · 63545947 · 288853667 · 53326121669_<11> · 1531658044549_<13> · 54389898345654421049856493544427544048520119_<44> · 408415728230237921555405467245794348472339374239159426157_<57> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 5.98 hours on Cygwin on AMD 64 3400+ / Aug 1, 2007)

7·10¹⁴⁶+3 =

7(0)₁₄₅3_<147>

= 19² · 37 · 169712311 · 3349398401_<10> · 14528779333859387_<17> · 40425209585153273_<17> · 6931357162131060176383_<22> · 22646926584951101608994646259410863938176211823391717360977422701943133_<71>

7·10¹⁴⁷+3 =

7(0)₁₄₆3_<148>

= 31 · 151451 · 7030015143559119037524563_<25> · 49184959607580348859573544470471_<32> · 4311968914702968224249026994416631354378899830941813009414303440243079537179314918331_<85> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 22.87 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 4, 2007)

7·10¹⁴⁸+3 =

7(0)₁₄₇3_<149>

= 541 · 94793 · 1248139200509574640907510234705365019_<37> · 668778149760661722591247508440960905084930985277_<48> · 1635232116045943944454517876533152037422559560020696414537_<58> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 16.09 hours on Cygwin on AMD 64 3200+ / Aug 3, 2007)

7·10¹⁴⁹+3 =

7(0)₁₄₈3_<150>

= 37 · 63947237308808935504223147_<26> · 54332487637857980982276524557_<29> · 5445213838251929415449467996756948545942266302151184463631784484692515847069284337985563870761_<94>

7·10¹⁵⁰+3 =

7(0)₁₄₉3_<151>

= 71 · 89 · 191 · 5813 · 69387272384806722377_<20> · 2860432727051506986615284475786112947115219635815431_<52> · 5026948551624322877511681422548970043126094617265313823362275760438297_<70> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 14.95 hours on Cygwin on AMD 64 3200+ / Aug 4, 2007)

7·10¹⁵¹+3 =

7(0)₁₅₀3_<152>

= 149 · 307 · 11981 · 127726298919576192535338258643102254447088972860739726166821388527083366333095265501218077359268550022936632594624208454808418279061720345556641_<144>

7·10¹⁵²+3 =

7(0)₁₅₁3_<153>

= 37 · 505533211217_<12> · 710664466259752258736962985632455239789_<39> · 52660141650353797139373582732951853429418586057828085008415146466989469864283870303119649117935460563_<101> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 26.23 hours on Cygwin on AMD XP 2700+ / Aug 4, 2007)

7·10¹⁵³+3 =

7(0)₁₅₂3_<154>

= 73 · 131 · 23323831 · 1846251383033_<13> · 2379079812909254428043276041211980572721289410506055623377_<58> · 7145031581347695270977233930386125972534532154126683920313280001705450711_<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 20.08 hours on Core 2 Quad Q6600 / Sep 16, 2007)

7·10¹⁵⁴+3 =

7(0)₁₅₃3_<155>

= 17 · 4117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647059_<154>

7·10¹⁵⁵+3 =

7(0)₁₅₄3_<156>

= 37 · 127 · 1395743 · 1451893 · 73511032921154680604594264467842920178089437517714336009825825227286341895956234800313017246479287345052633467857176570653818464129845658603_<140>

7·10¹⁵⁶+3 =

7(0)₁₅₅3_<157>

= 131869366750590330739_<21> · 1122763019112328991917896688146547_<34> · 47278753694379635584088304024046021007264290269515393607169408994420953596008025338686045504887530367691_<104> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 48.61 hours on Cygwin on AMD XP 2700+ / Aug 19, 2007)

7·10¹⁵⁷+3 =

7(0)₁₅₆3_<158>

= 229 · 20670690483852242291_<20> · 289487332555897025292304347439098723403965940378647989_<54> · 51083189905954193522289990799875185494212136099456609629347350039925026063426710793_<83> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs / 31.10 hours on Cygwin on AMD 64 3200+ / Aug 18, 2007)

7·10¹⁵⁸+3 =

7(0)₁₅₇3_<159>

= 37 · 4683555637807654711165402911872475397796795663167619_<52> · 4039435074966837668459019948543510692643700803297645131234240674842966427190365006893589626840507633222701_<106> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 38.49 hours on Cygwin on AMD 64 3200+ / Aug 3, 2007)

7·10¹⁵⁹+3 =

7(0)₁₅₈3_<160>

= 8783 · 18936371 · 624258449 · 393743988174089796031_<21> · 171230071767870652328330714497671132372228899480755443469714202635512070786758135435071643752357635763404000992608964209_<120>

7·10¹⁶⁰+3 =

7(0)₁₅₉3_<161>

= 599 · 3575471 · 32684207402663970868259644290514942764613639197537545293383575416020385297041237051417593707790286764274014796912972315179700744228133911207614045346907_<152>

7·10¹⁶¹+3 =

7(0)₁₆₀3_<162>

= 29 · 37 · 73 · 1403225401_<10> · 3753845625711756879793515975255349607797_<40> · 1696569329960212414283207012646965391569808922194244639849139334297461697448507406571284397297756255793527431_<109> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 52.92 hours on Cygwin on AMD 64 3400+ / Aug 12, 2007)

7·10¹⁶²+3 =

7(0)₁₆₁3_<163>

= 31 · 593 · 5407 · 11863 · 760434737 · 152542129822030128211_<21> · 442825008495119170811915908973911_<33> · 115570464819492499800637613712265721541579149801960067104596793688468703483720951765048513_<90> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1888950106 for P33 / Jul 26, 2007)

7·10¹⁶³+3 =

7(0)₁₆₂3_<164>

= definitely prime number

7·10¹⁶⁴+3 =

7(0)₁₆₃3_<165>

= 19 · 23 · 37 · 337 · 929 · 269413 · 347533 · 3469921837_<10> · 10858699084919331104580583379_<29> · 329805675824054241199035943707983_<33> · 118849963103897079083614037915925391439183742364207872856583449031842800979_<75> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P33 x P75 / 19.99 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Aug 5, 2007)

7·10¹⁶⁵+3 =

7(0)₁₆₄3_<166>

= 152833588533830632515504625196129899_<36> · 2783607568442084600657258901797095301845534239737_<49> · 16453989692271955709439095429034688807841041398306296314589415102129894839413356881_<83> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 52.97 hours on Cygwin on AMD 64 3400+ / Aug 3, 2007)

7·10¹⁶⁶+3 =

7(0)₁₆₅3_<167>

= 193428159165995799552166817_<27> · 361891465554027926328212109315492958100997206097379289106276719937497238193433484091111073933052484219352678045229183201550946673080791943459_<141>

7·10¹⁶⁷+3 =

7(0)₁₆₆3_<168>

= 37 · 2003 · 1538111 · 6140838679507652677023566807863570764672268917609820631428822778337092182987741633764651826741137994401508805797026063220904931764487509670939380900542930243_<157>

7·10¹⁶⁸+3 =

7(0)₁₆₇3_<169>

= 341870677521159820404771314461_<30> · [20475578808793101098067109352302136241947465332363736170498450833112663592480281217974216315890803341249803045346825107415291040669074603423_<140>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=576124639 for P30 / Jul 26, 2007) SUBMIT/RESERVE

7·10¹⁶⁹+3 =

7(0)₁₆₈3_<170>

= 61 · 73 · 1670391467493499_<16> · 32397946134897073854757_<23> · 5175216009374760485968852867656086119_<37> · 56128200837449627643617345573916608964872045642509134587009683630669439311948801876882681303_<92> (Robert Backstrom / GMP-ECM 6.1.3 B1=928000, sigma=3134470293 for P37 / Feb 13, 2008)

7·10¹⁷⁰+3 =

7(0)₁₆₉3_<171>

= 17 · 37 · 1112877583465818759936406995230524642289348171701112877583465818759936406995230524642289348171701112877583465818759936406995230524642289348171701112877583465818759936407_<169>

7·10¹⁷¹+3 =

7(0)₁₇₀3_<172>

= 193663 · 1870021 · 5209480256572103393851_<22> · [3710312630994794641105126501206381526091747729020560266427319100310922347391243101537035401634082509899448410498434916083412947305423807611_<139>] SUBMIT/RESERVE

7·10¹⁷²+3 =

7(0)₁₇₁3_<173>

= 139 · 263 · 459678549047_<12> · 4165558648519257075398117430852608235410611617423563142333471512657588671663996081120942357921298500901612797688759830352823967751034362974023084396051713257_<157>

7·10¹⁷³+3 =

7(0)₁₇₂3_<174>

= 37 · 4830247 · 253488539 · 22348446469487_<14> · [691387159016913058622935613250685456926825485030218389749462169026394567500966819455870114279646650276021876516864242700408272469813878832883389_<144>] SUBMIT/RESERVE

7·10¹⁷⁴+3 =

7(0)₁₇₃3_<175>

= 16017107 · 2323972359634351_<16> · 188054185866772671191665178569550149161634714942182327136840192042382849382646036456931740746618529402699948626694851557946812398235380579618455184534079_<153>

7·10¹⁷⁵+3 =

7(0)₁₇₄3_<176>

= 113 · 487 · 8389 · 15382421157285425929466447017738051797673565880227_<50> · 9857249360937578381060501178705637693417639727420036892990380567114305681621039301876173072701917734426786021572283771_<118> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Apr 5, 2008)

7·10¹⁷⁶+3 =

7(0)₁₇₅3_<177>

= 37 · 2207 · 1053449 · 8137302623761235010855796584072911389981801056482462568600813832297176194646605842923648629769815943571734807927098580864348762769799419000175401545881957225189263633_<166>

7·10¹⁷⁷+3 =

7(0)₁₇₆3_<178>

= 31 · 73 · 10141 · 13509889 · 363118907 · 62177328753972491311278652488762682241014806732595811306775457447049246828632191347968703892951988821296429153836011601282263722375529794517406379941778267_<155>

7·10¹⁷⁸+3 =

7(0)₁₇₇3_<179>

= 2141 · 158029 · 7746367 · 213244001 · 137059505906208078071_<21> · 913819724245006394544594778433113056501017933605219958402243098887544337692518145201410568436095032975372322460006341093414531578797411_<135>

7·10¹⁷⁹+3 =

7(0)₁₇₈3_<180>

= 37 · 104947 · 224351 · 117100092960585003361_<21> · [6861847122632973914379472012758459686732244728294442375722973505282513400916058793709564193945386621827810375796633922030118997100245586561698507107_<148>] SUBMIT/RESERVE

7·10¹⁸⁰+3 =

7(0)₁₇₉3_<181>

= 1661635052382325894228860798388965059_<37> · [4212718063430313817949556918391010227926614475612398920219025346271127082558521092818662843579474726787185571200372160360259201106912513664366017_<145>] (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=1692799595 for P37 / Aug 3, 2007) SUBMIT/RESERVE

7·10¹⁸¹+3 =

7(0)₁₈₀3_<182>

= 1307951 · 163667033636679029_<18> · [326998194399748176441609858419080681045982355899322450312083578721962978687367437656996085017149435322203657523434318188882834784965537082167543672801977676057_<159>] SUBMIT/RESERVE

7·10¹⁸²+3 =

7(0)₁₈₁3_<183>

= 19 · 37 · 5796213552807101290302139288236547086048674920761890437988566399723613188147_<76> · 171790180884158531835765998721853676674416631560705620499042258287282118632167531441001689658431400392783_<105> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 549.90 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Jun 24, 2008)

7·10¹⁸³+3 =

7(0)₁₈₂3_<184>

= 2521 · 40903 · 31573785372835301_<17> · [2150024355779666337892169253743610067474396939372976006637034637667574578846555961184807896703068981762235863613875851054165261451557337238686025205387175026281_<160>] SUBMIT/RESERVE

7·10¹⁸⁴+3 =

7(0)₁₈₃3_<185>

= 3163 · 409753 · 852368918477_<12> · 477967106515971827982803_<24> · [132571781276242613582924893974195017823570621394920024816982011061082992933784678263182673833598703821031344729949834888220892770899346132967_<141>] SUBMIT/RESERVE

7·10¹⁸⁵+3 =

7(0)₁₈₄3_<186>

= 37 · 71 · 73² · 1213 · 1744828062310637_<16> · 23625380330382524612684685202352518907464561821199107262513207110669840793252362550376852716738561590930610276053909409965948177519959225214760946180826955554361_<161>

7·10¹⁸⁶+3 =

7(0)₁₈₅3_<187>

= 17 · 23 · 6217 · 85947685102648127667543837824599_<32> · [33504738391487228749747446501773612093806339087076250696339848800027312314168629811645372145705956250463561211796008719270845701080544205217255359051_<149>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=4149229516 for P32 / Jul 28, 2007) SUBMIT/RESERVE

7·10¹⁸⁷+3 =

7(0)₁₈₆3_<188>

= 47 · 1489361702127659574468085106382978723404255319148936170212765957446808510638297872340425531914893617021276595744680851063829787234042553191489361702127659574468085106382978723404255319149_<187>

7·10¹⁸⁸+3 =

7(0)₁₈₇3_<189>

= 37 · 600857 · 1633493778036774146509_<22> · 19275591161847456977382152268219000035295474874561534384065003675184236533160199164688668964937134309986923842085310707943683849107032856099959039706464533265563_<161>

7·10¹⁸⁹+3 =

7(0)₁₈₈3_<190>

= 29 · 97 · 521 · 2150831 · 381070380281561_<15> · 5827457351737515133463848205355341524045172428171606098486674404198650493744698885448251395120248677164107420640249760839439762664576620002182162626895515787579921_<163>

7·10¹⁹⁰+3 =

7(0)₁₈₉3_<191>

= 1801 · 264487 · 146953521143558208322264671659532909450660089710044264982751739826298040924611653329833376309190813094819175235244823632020640705301997180016511991542732487403506303037008436771695069_<183>

7·10¹⁹¹+3 =

7(0)₁₉₀3_<192>

= 37 · 59 · 363924621565554504860719_<24> · 881115548912592343224292572074541633209126916238065998273586054071179410214022514269555239761075788512145136165749616828837042321163829129116899178942091854903314539_<165>

7·10¹⁹²+3 =

7(0)₁₉₁3_<193>

= 31 · 1105109 · 1243211 · 4470822866051487481_<19> · 5290673163123042490177645270463_<31> · 360922089125386739265100361213804922199_<39> · 19251941213231301805507821363673906075280686340797762406923312617295075302212157369103874171_<92> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2554121386 for P31 / Jul 28, 2007) (Robert Backstrom / GMP-ECM 6.1.3 B1=2148000, sigma=1344192446 for P39 / Feb 1, 2008)

7·10¹⁹³+3 =

7(0)₁₉₂3_<194>

= 73 · 958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890410958904109589041095890411_<192>

7·10¹⁹⁴+3 =

7(0)₁₉₃3_<195>

= 37 · 89 · [212572122684482235044032796841785605830549650774369875493470999088976617066504706954145156392347403583358639538414819313695718190100212572122684482235044032796841785605830549650774369875493471_<192>] SUBMIT/RESERVE

7·10¹⁹⁵+3 =

7(0)₁₉₄3_<196>

= 10853 · 1155441953_<10> · 82157819227893172508801401_<26> · [6794401418249220564470302772715475023213633607997441631965102666715002834175385614573567133933861717994501840072302208696048566059616014946241190422937491167_<157>] SUBMIT/RESERVE

7·10¹⁹⁶+3 =

7(0)₁₉₅3_<197>

= 107 · 277 · 2713 · [870531918755444788521494434185778500590102497298646184824845309276175467746437979258134439900447462111559486175747933354115832007088318584636477125461818737421046952176346585718473683453229_<189>] SUBMIT/RESERVE

7·10¹⁹⁷+3 =

7(0)₁₉₆3_<198>

= 37 · 127 · 255202990243_<12> · [583723040868188398708597090156241795531993542291926409332571092713616810806791118215733781720504096037754967368622540416612763148781932602531673090118185678243217961071094830531676979_<183>] SUBMIT/RESERVE

7·10¹⁹⁸+3 =

7(0)₁₉₇3_<199>

= 4151954057_<10> · 117871039717_<12> · [14303370437529736035776509021020367994977563743718072242830294592017946229786059564291921595196918594785013092205330293250436877969336545570611980419433044939382199912869165524687_<179>] SUBMIT/RESERVE

7·10¹⁹⁹+3 =

7(0)₁₉₈3_<200>

= 3047419399_<10> · 9072288419_<10> · 544255039845653_<15> · 4652072821357268342311218558927049396924163868683228412322637831718777440707373836111117710106437614781578074110125746615301630792884176539792449566529213758644818171_<166>

7·10²⁰⁰+3 =

7(0)₁₉₉3_<201>

= 19 · 37 · 7501217 · 20402275557381199_<17> · 116942959866455304271567_<24> · 30140964087251698621351505100337_<32> · 1845870187280936627842607751822820884327424820308665648049783479624333044500932291554887245148311810314856011773399314893_<121> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=721870745 for P32 / Jul 30, 2007)