Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 3·10¹+7 = 37 is prime. (Julien Peter Benney / Nov 23, 2004)
2. 3·10²+7 = 307 is prime. (Julien Peter Benney / Nov 23, 2004)
3. 3·10⁵+7 = 300007 is prime. (Julien Peter Benney / Nov 23, 2004)
4. 3·10⁸+7 = 300000007 is prime. (Julien Peter Benney / Nov 23, 2004)
5. 3·10²⁴+7 = 3(0)₂₃7_<25> is prime. (Julien Peter Benney / Nov 23, 2004)
6. 3·10²⁹+7 = 3(0)₂₈7_<30> is prime. (Julien Peter Benney / Nov 23, 2004)
7. 3·10⁸⁴+7 = 3(0)₈₃7_<85> is prime. (Julien Peter Benney / Nov 23, 2004)
8. 3·10¹¹⁰+7 = 3(0)₁₀₉7_<111> is prime. (Julien Peter Benney / Nov 23, 2004)
9. 3·10¹²⁹+7 = 3(0)₁₂₈7_<130> is prime. (Julien Peter Benney / Nov 23, 2004)
10. 3·10¹⁷⁶+7 = 3(0)₁₇₅7_<177> is prime. (Julien Peter Benney / Nov 23, 2004)
11. 3·10⁵⁹³+7 = 3(0)₅₉₂7_<594> is prime. (searched by Julien Peter Benney / Nov 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
12. 3·10¹¹³⁷+7 = 3(0)₁₁₃₆7_<1138> is prime. (searched by Mark Hudson / Nov 26, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 13, 2006)
13. 3·10²⁶⁷⁵+7 = 3(0)₂₆₇₄7_<2676> is PRP. (Hugo Pfoertner / Nov 29, 2004)
14. 3·10⁴⁹⁹²+7 = 3(0)₄₉₉₁7_<4993> is PRP. (Hugo Pfoertner / Nov 29, 2004)

• 1-10000

• A100501 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

3·10¹+7 =

37

= definitely prime number

3·10²+7 =

307

= definitely prime number

3·10³+7 =

3007

= 31 · 97

3·10⁴+7 =

30007

= 37 · 811

3·10⁵+7 =

300007

= definitely prime number

3·10⁶+7 =

3000007

= 17 · 109 · 1619

3·10⁷+7 =

30000007

= 29 · 37 · 73 · 383

3·10⁸+7 =

300000007

= definitely prime number

3·10⁹+7 =

3000000007_<10>

= 439 · 6833713

3·10¹⁰+7 =

30000000007_<11>

= 37 · 810810811

3·10¹¹+7 =

300000000007_<12>

= 61 · 277 · 17754631

3·10¹²+7 =

3000000000007_<13>

= 23 · 139 · 257 · 367 · 9949

3·10¹³+7 =

30000000000007_<14>

= 37 · 127 · 577 · 11064709

3·10¹⁴+7 =

300000000000007_<15>

= 22691 · 13221100877_<11>

3·10¹⁵+7 =

3000000000000007_<16>

= 73 · 17789 · 2310185531_<10>

3·10¹⁶+7 =

30000000000000007_<17>

= 19 · 37 · 107 · 3299 · 120892633

3·10¹⁷+7 =

300000000000000007_<18>

= 1213 · 4561 · 78691 · 689089

3·10¹⁸+7 =

3000000000000000007_<19>

= 31 · 8747 · 809143 · 13673357

3·10¹⁹+7 =

30000000000000000007_<20>

= 37 · 521 · 8677121 · 179351971

3·10²⁰+7 =

300000000000000000007_<21>

= 1291 · 379325719 · 612608083

3·10²¹+7 =

3000000000000000000007_<22>

= 233 · 65413057 · 196834348847_<12>

3·10²²+7 =

30000000000000000000007_<23>

= 17 · 37 · 4236946003_<10> · 11256870761_<11>

3·10²³+7 =

300000000000000000000007_<24>

= 73 · 4109589041095890410959_<22>

3·10²⁴+7 =

3000000000000000000000007_<25>

= definitely prime number

3·10²⁵+7 =

30000000000000000000000007_<26>

= 37 · 71 · 58211 · 196180628657816431_<18>

3·10²⁶+7 =

300000000000000000000000007_<27>

= 89 · 3370786516853932584269663_<25>

3·10²⁷+7 =

3000000000000000000000000007_<28>

= 13339 · 3429403 · 65581215046280671_<17>

3·10²⁸+7 =

30000000000000000000000000007_<29>

= 37 · 810810810810810810810810811_<27>

3·10²⁹+7 =

300000000000000000000000000007_<30>

= definitely prime number

3·10³⁰+7 =

3000000000000000000000000000007_<31>

= 7481 · 25373 · 15804828241213478275339_<23>

3·10³¹+7 =

30000000000000000000000000000007_<32>

= 37 · 73 · 97002180449987_<14> · 114502554033761_<15>

3·10³²+7 =

300000000000000000000000000000007_<33>

= 283 · 4917712573_<10> · 215561738438773101673_<21>

3·10³³+7 =

3000000000000000000000000000000007_<34>

= 31 · 34261 · 934366717 · 3023027973554365081_<19>

3·10³⁴+7 =

30000000000000000000000000000000007_<35>

= 19 · 23 · 37 · 41257393 · 44971390050462397330271_<23>

3·10³⁵+7 =

300000000000000000000000000000000007_<36>

= 29 · 167 · 3438397 · 18015684450198264652154617_<26>

3·10³⁶+7 =

3000000000000000000000000000000000007_<37>

= 494964632939586937_<18> · 6061039113407050111_<19>

3·10³⁷+7 =

30000000000000000000000000000000000007_<38>

= 37 · 181 · 4479617739286247573540391219949231_<34>

3·10³⁸+7 =

300000000000000000000000000000000000007_<39>

= 17 · 7669 · 966109 · 2381811937996778938635030551_<28>

3·10³⁹+7 =

3000000000000000000000000000000000000007_<40>

= 73 · 12203 · 12697 · 25117 · 10559975197250851647251897_<26>

3·10⁴⁰+7 =

30000000000000000000000000000000000000007_<41>

= 37 · 191 · 4245082779114192726758171784349794821_<37>

3·10⁴¹+7 =

300000000000000000000000000000000000000007_<42>

= 59 · 677 · 2526823751_<10> · 2972388853179168412767713399_<28>

3·10⁴²+7 =

3000000000000000000000000000000000000000007_<43>

= 1439 · 4723 · 5108447 · 599857123 · 9720717983_<10> · 14818609697_<11>

3·10⁴³+7 =

30000000000000000000000000000000000000000007_<44>

= 37 · 47 · 164029508385733973_<18> · 105171892647938417827681_<24>

3·10⁴⁴+7 =

300000000000000000000000000000000000000000007_<45>

= 1350073 · 3982801 · 751262095538089_<15> · 74264954268615031_<17>

3·10⁴⁵+7 =

3000000000000000000000000000000000000000000007_<46>

= 23923484947967329_<17> · 125399790478890765348654497383_<30>

3·10⁴⁶+7 =

30000000000000000000000000000000000000000000007_<47>

= 37 · 246223 · 3292993793475064517980898660201568540757_<40>

3·10⁴⁷+7 =

300000000000000000000000000000000000000000000007_<48>

= 73 · 8731 · 33845659 · 379510763 · 109314123739_<12> · 335220876209903_<15>

3·10⁴⁸+7 =

3000000000000000000000000000000000000000000000007_<49>

= 31 · 96774193548387096774193548387096774193548387097_<47>

3·10⁴⁹+7 =

30000000000000000000000000000000000000000000000007_<50>

= 37 · 113 · 373 · 27382739 · 800068027857012989_<18> · 878068611972447209_<18>

3·10⁵⁰+7 =

300000000000000000000000000000000000000000000000007_<51>

= 416289971957_<12> · 720651517473949661346586161431491808651_<39>

3·10⁵¹+7 =

3000000000000000000000000000000000000000000000000007_<52>

= 55862579 · 11970569406041699_<17> · 4486270582333434712229720767_<28>

3·10⁵²+7 =

30000000000000000000000000000000000000000000000000007_<53>

= 19 · 37 · 374557 · 113932600914063787468060277075502500400938317_<45>

3·10⁵³+7 =

300000000000000000000000000000000000000000000000000007_<54>

= 8929 · 155377 · 58392533 · 801685817 · 7025543263_<10> · 657491696048499853_<18>

3·10⁵⁴+7 =

3000000000000000000000000000000000000000000000000000007_<55>

= 17 · 176470588235294117647058823529411764705882352941176471_<54>

3·10⁵⁵+7 =

30000000000000000000000000000000000000000000000000000007_<56>

= 37 · 73 · 127 · 87456672506828908511574890606278806041506936771741_<50>

3·10⁵⁶+7 =

300000000000000000000000000000000000000000000000000000007_<57>

= 23 · 2115660643_<10> · 4865734697_<10> · 163601709050232403_<18> · 7744816814619022993_<19>

3·10⁵⁷+7 =

3000000000000000000000000000000000000000000000000000000007_<58>

= 25337833 · 929602302663456843877529_<24> · 127366318120422347627412551_<27>

3·10⁵⁸+7 =

30000000000000000000000000000000000000000000000000000000007_<59>

= 37 · 139 · 761 · 11731 · 54443 · 12001706183556157265510919553109415378640873_<44>

3·10⁵⁹+7 =

300000000000000000000000000000000000000000000000000000000007_<60>

= 25844353 · 11607951648083432384629632631933173177134672320874119_<53>

3·10⁶⁰+7 =

3000000000000000000000000000000000000000000000000000000000007_<61>

= 71 · 179 · 659 · 215243312633913318217_<21> · 1664158904458664023398585924083441_<34>

3·10⁶¹+7 =

30000000000000000000000000000000000000000000000000000000000007_<62>

= 37 · 1604019283_<10> · 1014996059197106936561_<22> · 498018630459316095843098338697_<30>

3·10⁶²+7 =

300000000000000000000000000000000000000000000000000000000000007_<63>

= 866932563239_<12> · 1184380150589_<13> · 292176187908106405066152236398184564917_<39>

3·10⁶³+7 =

3000000000000000000000000000000000000000000000000000000000000007_<64>

= 29 · 31 · 73 · 258362736189931_<15> · 176932994415494167247508849050708762654045711_<45>

3·10⁶⁴+7 =

30000000000000000000000000000000000000000000000000000000000000007_<65>

= 37 · 810810810810810810810810810810810810810810810810810810810810811_<63>

3·10⁶⁵+7 =

300000000000000000000000000000000000000000000000000000000000000007_<66>

= 11597 · 476766564965980967_<18> · 54258752737197570588646840676304118198649893_<44>

3·10⁶⁶+7 =

3000000000000000000000000000000000000000000000000000000000000000007_<67>

= 880413593 · 2768750173925419_<16> · 1230695874355229930412252183745242948470621_<43>

3·10⁶⁷+7 =

30000000000000000000000000000000000000000000000000000000000000000007_<68>

= 37 · 8789091672849499727036081_<25> · 92251946047564539252294359643557463628331_<41>

3·10⁶⁸+7 =

300000000000000000000000000000000000000000000000000000000000000000007_<69>

= 4219 · 50593 · 75810347 · 32098538872562066591712923_<26> · 577573885385671200291134941_<27>

3·10⁶⁹+7 =

3000000000000000000000000000000000000000000000000000000000000000000007_<70>

= 107 · 18017693548490897_<17> · 89426539136530607339_<20> · 17400905858269130024753402397647_<32>

3·10⁷⁰+7 =

30000000000000000000000000000000000000000000000000000000000000000000007_<71>

= 17 · 19 · 37 · 89 · 4217 · 934535879 · 7156940736968775637854219931676104798881872523864991_<52>

3·10⁷¹+7 =

300000000000000000000000000000000000000000000000000000000000000000000007_<72>

= 61 · 73 · 229 · 521 · 2277848267_<10> · 13173005009_<11> · 18818530431881587158932329574305765333752197_<44>

3·10⁷²+7 =

3000000000000000000000000000000000000000000000000000000000000000000000007_<73>

= 30931 · 7293569 · 8572474297_<10> · 246844426924254793_<18> · 6284311149248704160062154842197053_<34>

3·10⁷³+7 =

30000000000000000000000000000000000000000000000000000000000000000000000007_<74>

= 37 · 284741 · 485890311221409753395066599_<27> · 5860454325164264734412524615630507385129_<40>

3·10⁷⁴+7 =

300000000000000000000000000000000000000000000000000000000000000000000000007_<75>

= 23747641 · 91238521219_<11> · 268340845699_<12> · 65661498166169_<14> · 7858234242360731652028636150943_<31>

3·10⁷⁵+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000007_<76>

= 293 · 796384271 · 747149183367091843994819363_<27> · 17207732031763458234935687162445804263_<38>

3·10⁷⁶+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000007_<77>

= 37 · 347674709719261_<15> · 376029032094798769_<18> · 41335540481765452729_<20> · 150038057386969993657951_<24>

3·10⁷⁷+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000007_<78>

= 7103 · 310721 · 69392692739_<11> · 17815667421934982054968724377_<29> · 109949433731598778093224841163_<30>

3·10⁷⁸+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000007_<79>

= 23 · 31 · 4207573632538569424964936886395511921458625525946704067321178120617110799439_<76>

3·10⁷⁹+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000007_<80>

= 37 · 73 · 1039 · 1223 · 1847 · 572657 · 625955860492510637_<18> · 13202296647663702684922382029001071334833297_<44>

3·10⁸⁰+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000007_<81>

= 277 · 11411 · 94911269036432323361428123537773261407464518212997971746180691441249766281_<74>

3·10⁸¹+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000007_<82>

= 1070683 · 157863750089668623431_<21> · 17749165225483606522027927538441692526936337438655527059_<56>

3·10⁸²+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000007_<83>

= 37 · 7333 · 7681 · 14395278802292036060417159795935809822275019391748117845247433324068803807_<74>

3·10⁸³+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000000007_<84>

= 513769 · 902800583 · 2361932737_<10> · 33062619979_<11> · 99756304721_<11> · 83026433674730925599643777137972543227_<38>

3·10⁸⁴+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<85>

= definitely prime number

3·10⁸⁵+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<86>

= 37² · 67477 · 741163 · 9976434378762229507_<19> · 726728774267084507874023_<24> · 60436680681922112979298419173_<29>

3·10⁸⁶+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<87>

= 17 · 1607 · 15733 · 33655393597439835659_<20> · 20739115961968251612049950865027079498714359321952033396999_<59>

3·10⁸⁷+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<88>

= 73 · 199 · 359 · 14169341 · 31098751 · 1421270425501426514718779_<25> · 918505055963463910076241392500382916824591_<42>

3·10⁸⁸+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<89>

= 19 · 37 · 8269 · 713857699000365908951_<21> · 183594440313011252445911_<24> · 39376921914948715310180926483901588941_<38>

3·10⁸⁹+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<90>

= 47 · 2620085153369389_<16> · 2674430404638894104042554343_<28> · 910912558498503181307118855316906932618920203_<45>

3·10⁹⁰+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<91>

= 263 · 310397 · 16150622431_<11> · 15740346658681_<14> · 144558766545391788172988240042912482282678808919745707117667_<60>

3·10⁹¹+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<92>

= 29 · 37 · 2368463 · 11122369031_<11> · 1061347564479302758227709668616387114551821907958905701434169873919038303_<73>

3·10⁹²+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<93>

= 958393 · 495086659559_<12> · 2745914643721_<13> · 230255156259078301782490273594219252920268073364717458477983841_<63>

3·10⁹³+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<94>

= 31 · 96774193548387096774193548387096774193548387096774193548387096774193548387096774193548387097_<92>

3·10⁹⁴+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<95>

= 37 · 141061537 · 1240987674787980091256650071993361_<34> · 4631732303336888622217180085281253989404018318017323_<52> (Makoto Kamada / GGNFS-0.54.5b)

3·10⁹⁵+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<96>

= 71 · 73 · 312929769011_<12> · 32838137201600323_<17> · 5632674477183462008448784970927863576084560908828308373300666593_<64>

3·10⁹⁶+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<97>

= 121173603679670875523_<21> · 24757867298645882940751558153470261457888796078573314140899701373994659416109_<77>

3·10⁹⁷+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<98>

= 37 · 127 · 1579 · 4497395087_<10> · 899026800639003032177953119210735756671288510422300183167912453887606833326312641_<81>

3·10⁹⁸+7 =

300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<99>

= 1959184687_<10> · 18358551180638802532928817679_<29> · 8340795484256794379858794115887051224428587896130311236194759_<61>

3·10⁹⁹+7 =

3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<100>

= 59 · 97 · 1279 · 81119024200702703_<17> · 2869617189581715235822903_<25> · 29092333577231525589382213_<26> · 60520390659918817871834263_<26>

3·10¹⁰⁰+7 =

30000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007_<101>

= 23² · 37 · 7678967 · 1000866991_<10> · 46248401599818479379883_<23> · 4312091457950501485337287857027747282974290083457420899209_<58>

3·10¹⁰¹+7 =

3(0)₁₀₀7_<102>

= 1667 · 179964007198560287942411517696460707858428314337132573485302939412117576484703059388122375524895021_<99>

3·10¹⁰²+7 =

3(0)₁₀₁7_<103>

= 17 · 31183 · 47147 · 1288933 · 1746463 · 53322517204295489809480305702983110188955975714888120860086581601244316863338449_<80>

3·10¹⁰³+7 =

3(0)₁₀₂7_<104>

= 37 · 73 · 8131353049_<10> · 3500349912571_<13> · 5454615958313_<13> · 165556922073283387_<18> · 432126469624198278826666829300413256680789639643_<48>

3·10¹⁰⁴+7 =

3(0)₁₀₃7_<105>

= 139 · 23743 · 90901460695571917145136605200108960550887092204684637077433197274046996661189348651643483259132491_<98>

3·10¹⁰⁵+7 =

3(0)₁₀₄7_<106>

= 1993 · 4289 · 124776136970633_<15> · 4807194448933665149_<19> · 28860364448854363372017120293_<29> · 20273693351933343509455160294262628711_<38>

3·10¹⁰⁶+7 =

3(0)₁₀₅7_<107>

= 19 · 37 · 223 · 2693 · 7883 · 13622737 · 6580345675035756693857460719_<28> · 100558805553383969719058940946122882365167575230597714732879_<60>

3·10¹⁰⁷+7 =

3(0)₁₀₆7_<108>

= 131 · 713533 · 3209489029768577760832151180455949212104142826626729782195622785459255895160029562817419133687660209_<100>

3·10¹⁰⁸+7 =

3(0)₁₀₇7_<109>

= 31 · 2797 · 115607210891348457052787_<24> · 433281452608477152130090427_<27> · 690735969625772006836944498829857936179847407952595549_<54>

3·10¹⁰⁹+7 =

3(0)₁₀₈7_<110>

= 37 · 2845252117_<10> · 3713924441_<10> · 12504288313116615501097427_<26> · 19571965808741818874482698385709_<32> · 313525077971325739601067364163441_<33> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1340883278 for P33 / Aug 27, 2007)

3·10¹¹⁰+7 =

3(0)₁₀₉7_<111>

= definitely prime number

3·10¹¹¹+7 =

3(0)₁₁₀7_<112>

= 73 · 15982711 · 8729351929_<10> · 673840872641_<12> · 29534344527152687_<17> · 6547792133200043993_<19> · 2260405600467595500562401249746577803868165431_<46>

3·10¹¹²+7 =

3(0)₁₁₁7_<113>

= 37 · 8287 · 86688607 · 7223154329_<10> · 51298510637495653901363_<23> · 3045990308019871902430191141160812557793618513008639223149911675777_<67>

3·10¹¹³+7 =

3(0)₁₁₂7_<114>

= 9958794049_<10> · 54305905957_<11> · 554711845956529035779901603384095911608092759418946322823072623936745821785747652491457474299_<93>

3·10¹¹⁴+7 =

3(0)₁₁₃7_<115>

= 89 · 109 · 2820563 · 432040087316862334144741897_<27> · 363408045426901508336853965827_<30> · 698313378637433319644312675482359830254117350331_<48> (Makoto Kamada / Msieve 1.26 for P30 x P48 / 11 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Sep 3, 2007)

3·10¹¹⁵+7 =

3(0)₁₁₄7_<116>

= 37 · 1202857 · 122658774730152389_<18> · 5495496158905196200091295440221378382924315504636677126346633227761598698101098371920658407_<91>

3·10¹¹⁶+7 =

3(0)₁₁₅7_<117>

= 941 · 7229 · 1005413 · 1768241 · 793456171721645674090119834605962552118405123_<45> · 31263997790510739426533319802087948467956549868101057_<53> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 2.15 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 3, 2007)

3·10¹¹⁷+7 =

3(0)₁₁₆7_<118>

= 991608181877_<12> · 3025388510128411573298005142434025047727354352215767200398654400825662500737167664466358369287197026599691_<106>

3·10¹¹⁸+7 =

3(0)₁₁₇7_<119>

= 17 · 37 · 47694753577106518282988871224165341812400635930047694753577106518282988871224165341812400635930047694753577106518283_<116>

3·10¹¹⁹+7 =

3(0)₁₁₈7_<120>

= 29 · 73 · 141709966934341048653755314123760037789324515824279641001417099669343410486537553141237600377893245158242796410014171_<117>

3·10¹²⁰+7 =

3(0)₁₁₉7_<121>

= 9746255741_<10> · 21886913773_<11> · 93792876069619_<14> · 1014838616150641_<16> · 147751564092636026549460363590839067806919556303848343368829011104122581_<72>

3·10¹²¹+7 =

3(0)₁₂₀7_<122>

= 37 · 2153 · 283193 · 45016298861_<11> · 24521474895583_<14> · 172367199446977_<15> · 1093269834500648855661843412047037_<34> · 6392851589358087090204524857849663762157_<40> (Makoto Kamada / msieve 0.81 / 5.8 minutes)

3·10¹²²+7 =

3(0)₁₂₁7_<123>

= 23 · 107 · 105943 · 2044607702751648523_<19> · 6979230306835332966261470773_<28> · 80634305897026311868291137188315959326968015903591041646130428132371_<68>

3·10¹²³+7 =

3(0)₁₂₂7_<124>

= 31 · 521 · 2657 · 144071 · 139782905835241_<15> · 528131554443915112320432461_<27> · 6572907672325994368234960644661984811352078028138564021130575701041131_<70>

3·10¹²⁴+7 =

3(0)₁₂₃7_<125>

= 19 · 37 · 193 · 435811428691633_<15> · 416592103205978657_<18> · 2606793020110011769_<19> · 339553265471003892270018410791_<30> · 1375892525928161011267693952476821720167_<40> (Makoto Kamada / msieve 0.81 / 2.5 minutes)

3·10¹²⁵+7 =

3(0)₁₂₄7_<126>

= 240353 · 967787 · 133187693714671747037424021997_<30> · 9683398946669705008572309264729499781958600622317451617147818679362578763890277809321_<85> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2528618589 for P30 / Aug 28, 2007)

3·10¹²⁶+7 =

3(0)₁₂₅7_<127>

= 4720909 · 10534455986864899_<17> · 42697713463908436112197336349_<29> · 1412794170457977634954503119767881062698761257562555945470260957432227561173_<76>

3·10¹²⁷+7 =

3(0)₁₂₆7_<128>

= 37 · 73 · 6762030461_<10> · 78363271672974846821_<20> · 41050596016202387245201_<23> · 510607889803239347870049292765825535164528782394367612040521179773646147_<72>

3·10¹²⁸+7 =

3(0)₁₂₇7_<129>

= 2685101 · 33851255863_<11> · 12978558218195034379386149_<26> · 275313088291577407642928246977003907_<36> · 923703385381580265251720036954725538332661715176123_<51> (Sinkiti Sibata / Msieve v. 1.26 for P36 x P51 / 5.86 hours on Pentium 3 750MHz, Windows Me / Sep 4, 2007)

3·10¹²⁹+7 =

3(0)₁₂₈7_<130>

= definitely prime number

3·10¹³⁰+7 =

3(0)₁₂₉7_<131>

= 37 · 71 · 33810961 · 1648142131729004126563_<22> · 21200147141676683625158187167_<29> · 9666519480363108756410741342046902197031024406908628685646707177884961_<70>

3·10¹³¹+7 =

3(0)₁₃₀7_<132>

= 61 · 3889 · 16673127629_<11> · 654750113451724387_<18> · 367843730195277468720927798645873350770134361_<45> · 314917983297778113935616240983926140815612293301748461_<54> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 6.51 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 4, 2007)

3·10¹³²+7 =

3(0)₁₃₁7_<133>

= 20590611374091488546520676374415000816224551_<44> · 145697470827641601340741249542086188044830839410971692164392935223681417160709307626970657_<90> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.88 hours on Core 2 Quad Q6600 / Sep 4, 2007)

3·10¹³³+7 =

3(0)₁₃₂7_<134>

= 37 · 29581 · 71206879090633339569010774993897538969_<38> · 384932630573456592303493441248187029453637827755687637553671267379325800269120529793395199_<90> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 2.83 hours on Core 2 Quad Q6600 / Sep 5, 2007)

3·10¹³⁴+7 =

3(0)₁₃₃7_<135>

= 17 · 24547 · 515490719 · 30606905471_<11> · 93372706503094537_<17> · 7920075015505035621361_<22> · 61614708112120683019353383604747871764589775720558852796938289744784901_<71>

3·10¹³⁵+7 =

3(0)₁₃₄7_<136>

= 47 · 73 · 191 · 153701 · 24308048293_<11> · 1225294222783659149674745891790542477846384760640765453178552304749161043457493805781151039210462781583819589281719_<115>

3·10¹³⁶+7 =

3(0)₁₃₅7_<137>

= 37 · 6556535936327394866605979149660371778651962509_<46> · 123664511059628497811157288760274150729201758246527989892496823924203364385516946923141479_<90> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 4.25 hours on Core 2 Quad Q6600 / Sep 5, 2007)

3·10¹³⁷+7 =

3(0)₁₃₆7_<138>

= 36225266507960712217403_<23> · 8281512571731480890323903115149992908549080258941491179820186231956479289243636743385510859771195448631106956546469_<115>

3·10¹³⁸+7 =

3(0)₁₃₇7_<139>

= 31 · 30347 · 27582727203473715137972750799973321_<35> · 9338357328303256578758498008894337760073_<40> · 12380440690635148293553334360514326357608119969517531812347_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 11.09 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 7, 2007)

3·10¹³⁹+7 =

3(0)₁₃₈7_<140>

= 37 · 127 · 433 · 599 · 24615070895674894344095305163179405402499186034989389546512553042472690274217001507540991479613823309524129773696184760748399011379_<131>

3·10¹⁴⁰+7 =

3(0)₁₃₉7_<141>

= 886591 · 21345509 · 870020740547606992047908247418054629224598409723907992361_<57> · 18220563960260903608607526139448840316782587407515464316476336274810173_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 12.05 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 7, 2007)

3·10¹⁴¹+7 =

3(0)₁₄₀7_<142>

= 1159240267_<10> · 3355488484559_<13> · 689605891019146429_<18> · 16044985525176124301_<20> · 48029630362478262569811764243_<29> · 1451250916352368211846287345233501107250419128707398177_<55>

3·10¹⁴²+7 =

3(0)₁₄₁7_<143>

= 19 · 37 · 415553 · 4356998080213_<13> · 4263373964673773_<16> · 5528390479771761027088740445384511407888467191613266882495942970115243448045557566628782102388820352357577_<106>

3·10¹⁴³+7 =

3(0)₁₄₂7_<144>

= 73 · 347 · 7793 · 14087 · 20681 · 25999009 · 7420475865516949471_<19> · 472866768427802125793929_<24> · 57180355199406003395710694670294872255933992610016221680979619117994690260997_<77>

3·10¹⁴⁴+7 =

3(0)₁₄₃7_<145>

= 23 · 459383 · 128248879471_<12> · 1352119565902402853_<19> · 412360496428279684134266762455314955302583_<42> · 3970752049300281989132003305040428926587105565745390502436467127587_<67> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 13.30 hours on Cygwin on AMD XP 2700+ / Sep 9, 2007)

3·10¹⁴⁵+7 =

3(0)₁₄₄7_<146>

= 37 · 149 · 4548472797563_<13> · 77229184368528211553_<20> · 15491241068552540105036234877156957913331632434707419884397089665026362420987079081715814031706642272209382301_<110>

3·10¹⁴⁶+7 =

3(0)₁₄₅7_<147>

= 4813 · 5413 · 28477 · 2544313 · 13055969 · 12172884001913546407930227034471808163291537380024752217093389071137834033229275152059466733077673902911687232036254866987_<122>

3·10¹⁴⁷+7 =

3(0)₁₄₆7_<148>

= 29 · 2437 · 553525949 · 3997619504444745287_<19> · 6556640848925693764421202281051_<31> · 2925815201213225488015353783615323323721015839286569481343687648583824330951467747743_<85> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2420608976 for P31 / Aug 29, 2007)

3·10¹⁴⁸+7 =

3(0)₁₄₇7_<149>

= 37 · 523 · 11819993 · 131159762755336138006427200282890755609778787971735622504379717325360965624796738067777153954145101463965096328132385415307660841907961849_<138>

3·10¹⁴⁹+7 =

3(0)₁₄₈7_<150>

= 277 · 423242333 · 1269402691_<10> · 2842318663_<10> · 709218743323941559738817511999175046691509040094900367572317654521204390728324360432435174823587866229394134765594867019_<120>

3·10¹⁵⁰+7 =

3(0)₁₄₉7_<151>

= 17² · 139 · 200475091 · 13089255395208126389_<20> · 18215291062445336232193_<23> · 99269467818197763097793_<23> · 14846281069698988924500032578739_<32> · 1060141324047330217134733111652288596956953_<43> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1447189635 for P32 / Aug 29, 2007)

3·10¹⁵¹+7 =

3(0)₁₅₀7_<152>

= 37 · 73 · 1244863 · 20628811590269_<14> · 1197832543309205649377891301884244716228803440401897936550987217_<64> · 361081131072503212385537651948543045335365693158346674560705560593_<66> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 27.46 hours on Cygwin on AMD XP 2700+ / Sep 11, 2007)

3·10¹⁵²+7 =

3(0)₁₅₁7_<153>

= 8347351 · 7811046197_<10> · 858719673857_<12> · 250559653015574120385408539_<27> · 577938539278524803843369748270872920429_<39> · 37001485905141343750684997572615954124281964070904019247443_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 36.57 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 5, 2007)

3·10¹⁵³+7 =

3(0)₁₅₂7_<154>

= 31 · 1960320883_<10> · 234995429723777_<15> · 12766708087797880775647643713694004841381361147278295433889_<59> · 16454854639373394037106403236176282020045812281709905847229481803749603_<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 16.75 hours on Core 2 Quad Q6600 / Sep 15, 2007)

3·10¹⁵⁴+7 =

3(0)₁₅₃7_<155>

= 37 · 25735367917376428887903352224467_<32> · 31505701158573848678701736130318189705992101267109759254218977833513289599982530505291377571538661224594650439297325530233_<122> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=133750624 for P32 / Aug 29, 2007)

3·10¹⁵⁵+7 =

3(0)₁₅₄7_<156>

= 307 · 947 · 17011 · 85013863614622230403517_<23> · 81026516161317424585126385687853691355677579362917_<50> · 8806151149339157734770802696564069152769229056077368044884311562147487877_<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 16.65 hours on Core 2 Quad Q6600 / Sep 18, 2007)

3·10¹⁵⁶+7 =

3(0)₁₅₅7_<157>

= 1428660435500894737_<19> · 23751015386450850890960912782656510193131256880878674102473_<59> · 88411764036120295668516229411892223895453769985635566390071101529293788597427807_<80> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 24.47 hours on Core 2 Quad Q6600 / Sep 19, 2007)

3·10¹⁵⁷+7 =

3(0)₁₅₆7_<158>

= 37 · 59 · 6271 · 119927861 · 18273032659591471572351258393792764128146724729192556969491941599651410105396297348901809018790775415066902115813536137657291680668027377119459_<143>

3·10¹⁵⁸+7 =

3(0)₁₅₇7_<159>

= 89 · 2076619 · 259656955391_<12> · 252655059854571780687683274450095709673880513_<45> · 24742664377819752522172823349240990874103759568271850621675059742047926996980289580771977958019_<95> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 32.13 hours on Cygwin on AMD 64 3400+ / Sep 25, 2007)

3·10¹⁵⁹+7 =

3(0)₁₅₈7_<160>

= 73 · 1843607 · 222421799613457_<15> · 100219607114202835442269081027255566630476151518805879599117844637392912859235645420536824043996720508825277514316030576926119809262344441_<138>

3·10¹⁶⁰+7 =

3(0)₁₅₉7_<161>

= 19 · 37 · 5987 · 190783 · 2301583954628587_<16> · 30214589326193078803_<20> · 168821492926505124753835321037510889107_<39> · 3182333894509189879957908738033612846872644789961813377047250471481774358607_<76> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 snfs / 62.61 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Sep 10, 2007)

3·10¹⁶¹+7 =

3(0)₁₆₀7_<162>

= 113 · 103559004733_<12> · 4634104042845913_<16> · 5532089060402440837642968427106740040240958322867769746577136672372914761060455709275644038815423563734951865595093501849011518573691_<133>

3·10¹⁶²+7 =

3(0)₁₆₁7_<163>

= 3733216672222512252402080024047876262175838601063_<49> · 1801107624738145935914817354265795383914325232132040341_<55> · 446167973934504101158694839309139582095409259666991720176029_<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 43.21 hours on Core 2 Quad Q6600 / Sep 14, 2007)

3·10¹⁶³+7 =

3(0)₁₆₂7_<164>

= 37 · 4361501 · 2951989138764677700040777_<25> · 242727769684516588041691481_<27> · 259447406437644695945964880358107079598502865896649596963355067931719255377640092560152213601875749473303_<105>

3·10¹⁶⁴+7 =

3(0)₁₆₃7_<165>

= 93463 · 102367 · 5561993 · 2697746404826036755483_<22> · 4075016412566873951820653_<25> · 85121969595848139659769186241637634013_<38> · 6024471790877011640388025283913980838326383051453673075231227837_<64> (JMB / Sep 5, 2007)

3·10¹⁶⁵+7 =

3(0)₁₆₄7_<166>

= 71 · 739 · 24680319817_<11> · 12015226484473081913_<20> · 7814625344423111337812529497145365416512918941_<46> · 24673318295604171900567002523536315906661600240732917021551158395138773289853506329223_<86> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Mar 9, 2008)

3·10¹⁶⁶+7 =

3(0)₁₆₅7_<167>

= 17 · 23 · 37 · 19833927073_<11> · 8996469684187_<13> · 588640457649593408813104957_<27> · 10602713652271671635338735723_<29> · 1862064839791754846142240803810488476144261366504628162915046324765101490861512485961_<85>

3·10¹⁶⁷+7 =

3(0)₁₆₆7_<168>

= 73 · 2820908683_<10> · 47840528956935069857729_<23> · 1357442863346680718028321638854705863851_<40> · 22433231368448594492739585313305402233259675370737675880559365524717784659590253895181940293287_<95> (Robert Backstrom / GMP-ECM 6.0 B1=2230000, sigma=3075737986 for P40 / Feb 7, 2008)

3·10¹⁶⁸+7 =

3(0)₁₆₇7_<169>

= 31² · 220442934797851_<15> · 68134668790873592384459578322644469894232860523283147276193_<59> · 207842105702935771469899396383940505601339931626765063877009064283675813950588095504388659109_<93> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 52.57 hours on Cygwin on AMD 64 X2 6000+ / Jul 7, 2008)

3·10¹⁶⁹+7 =

3(0)₁₆₈7_<170>

= 37 · 321485385345676762706421506544388644469_<39> · 2522076734340466176982866611144735500345304211081851607078673956180783695480227990278425308960588927381717464690492823021851851119_<130> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=769407356 for P39 / Sep 23, 2007)

3·10¹⁷⁰+7 =

3(0)₁₆₉7_<171>

= 11900149 · 116810359621_<12> · 333724949161_<12> · 351770377281652245322691967098920378125785292375511986421626711343961_<69> · 1838398065903311066272707877014113500727599586799929165989126913413817423_<73> (Serge Batalov / Msieve-1.38 snfs / 35.00 hours on Opteron-2.6GHz; Linux x86_64 / Nov 6, 2008)

3·10¹⁷¹+7 =

3(0)₁₇₀7_<172>

= 31620332097111024989233352721851562907652707_<44> · [94875663885708949340722098875716958576811202800602452263648706419261724778781975587671373398601569684090092604704674588003973901_<128>] (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=4020180606 for P44 / Sep 7, 2007) SUBMIT/RESERVE

3·10¹⁷²+7 =

3(0)₁₇₁7_<173>

= 37 · 337 · 114262317715380613_<18> · 21056520170116679937455595003008874793699061658220099394077770991979796131391815754696100648637827420202655065065068813932148398207730911366301481522831_<152>

3·10¹⁷³+7 =

3(0)₁₇₂7_<174>

= 283 · 1913 · 12781 · 123368533577_<12> · [351439531907436124055536444128806791254168353017680566366500535357910840702470719997506193679475389903251705103144679714049115729736189648524865875756409_<153>] SUBMIT/RESERVE

3·10¹⁷⁴+7 =

3(0)₁₇₃7_<175>

= 2131 · 2539 · 388785044783_<12> · 372247744413533552867_<21> · 3918018457203894704610101_<25> · 83101205384307732797112639371594904845329_<41> · 11766835380003014836384610732539311187782328395943642994305646727529367_<71> (JMB / GGNFS-0.77.1-20060513-pentium4 gnfs for P41 x P71 / 48.39 hours / Sep 6, 2007)

3·10¹⁷⁵+7 =

3(0)₁₇₄7_<176>

= 29² · 37 · 73 · 107 · 521 · 661 · 90911 · 51322051021_<11> · 828460334753_<12> · 92722590232649274446142280534945064984657986755894010810494070455177597514980562558484084216931492824452182353744336309886774660549367_<134>

3·10¹⁷⁶+7 =

3(0)₁₇₅7_<177>

= definitely prime number

3·10¹⁷⁷+7 =

3(0)₁₇₆7_<178>

= 6949 · 3054553 · 27056747 · 493404835963026012897437638151_<30> · 10586984945347812569293655796156978605781927234580251298728859025464296926453574495799663305462065258099367037772156197388089569823_<131> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1041251524 for P30 / Aug 31, 2007)

3·10¹⁷⁸+7 =

3(0)₁₇₇7_<179>

= 19 · 37 · 877 · 2377 · 955091 · 1475151073734211096553921_<25> · [14529675071403254841225278617910509689733028748277272282784208405123742248283980761855178227443398649366771148497951591335521236709103978551_<140>] SUBMIT/RESERVE

3·10¹⁷⁹+7 =

3(0)₁₇₈7_<180>

= 724309 · 8113870839505271363511368113_<28> · 51046889397874516674374640886900341936443838751528546555919718907710596677177554361021463321261206354156874905727408705794753863231816679987975771_<146>

3·10¹⁸⁰+7 =

3(0)₁₇₉7_<181>

= 139123445599_<12> · [21563583241368222576866427340532072240026033917032500767196586027964193736357290116859765943842176993522090981000847861268042428797264078318638652795978758110890108360793_<170>] SUBMIT/RESERVE

3·10¹⁸¹+7 =

3(0)₁₈₀7_<182>

= 37 · 47 · 127 · 13725913 · 21623826491768316731972267_<26> · 457661270578095137164137504134980583396871387947601110795572534703070051277670769241048807880195755464389757497291473633113527278035439907990089_<144>

3·10¹⁸²+7 =

3(0)₁₈₁7_<183>

= 17 · 79283 · 31405992767627_<14> · [7087282300014958535979322779394916011998265509434662659349419414458025595938094592333381108061480730014286132862608875574839650142235970941578503922641840774549831_<163>] SUBMIT/RESERVE

3·10¹⁸³+7 =

3(0)₁₈₂7_<184>

= 31 · 73 · 31387 · [42236399917943122239420102113254625614368913356404075131178162835147065243876281644197160021653757509931079909705897951423381459974654499561241238252420522323197409230492073347_<176>] SUBMIT/RESERVE

3·10¹⁸⁴+7 =

3(0)₁₈₃7_<185>

= 37 · 48825826060803420560275940333_<29> · 16606187262476579971995760906943210586269694906092527719070492669074651946268267950831190725861763313025790106859512466549588197667323602041976271696074567_<155>

3·10¹⁸⁵+7 =

3(0)₁₈₄7_<186>

= 1053148237_<10> · 367359565561_<12> · 9079315667762293_<16> · 85405783470340571065076845909287543052200952350363226757713830415120497877703268968962293157264152219723022901790644421184243671490216153670724604207_<149>

3·10¹⁸⁶+7 =

3(0)₁₈₅7_<187>

= 199 · 1483 · 61643 · 226307 · 3756989 · 409626733064891561693_<21> · 473496810509582046821742464177596727335266811070198096053958472058069940681500075130313819549016230654385285739848949606960963289322741981781323_<144>

3·10¹⁸⁷+7 =

3(0)₁₈₆7_<188>

= 37 · 605922879342007975663171_<24> · [1338141929367805895967360500835579070435592801372201595261241832469144297770866170357968880712414491519599464760605770592478114351590825472065548113875419967404841_<163>] SUBMIT/RESERVE

3·10¹⁸⁸+7 =

3(0)₁₈₇7_<189>

= 23 · 247068535739_<12> · 1356701864133060161_<19> · [38912717001846026754258020463033828834444274163370357307458462274902236077930708456817497645207834366947010742330673777264064269788519083038610590538311951971_<158>] SUBMIT/RESERVE

3·10¹⁸⁹+7 =

3(0)₁₈₈7_<190>

= 33521 · 8814854900159220551_<19> · 131252454624516158629116042379_<30> · [77353805957831029443400701300491980678738106648753718474718063531025980672929252284922122088072505980457039510003287718292675141464283923_<137>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=791822475 for P30 / Sep 1, 2007) SUBMIT/RESERVE

3·10¹⁹⁰+7 =

3(0)₁₈₉7_<191>

= 37 · 12023821039_<11> · 24740182686490123_<17> · 834345923564404036855216234597229_<33> · [3266840841063151058420879085287406367732093771133291648378125740962470904735039604161264439172945385996578548253451059715354049947_<130>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=718876711 for P33 / Sep 1, 2007) SUBMIT/RESERVE

3·10¹⁹¹+7 =

3(0)₁₉₀7_<192>

= 61 · 73 · 4768139 · 11421913 · 1237031629937293209007439027146779589755228870871341611433436503570390796986837227129487100598490302577692315166847909176373244767505642951434728276295287500127591953321116217_<175>

3·10¹⁹²+7 =

3(0)₁₉₁7_<193>

= 22039 · 375097 · 1112059787454691_<16> · [326330481942069015309153576337615530981481633470580102594486170987408719390752537442941989296097827807520324771547864897004319563501689749792424269813720039996207288019_<168>] SUBMIT/RESERVE

3·10¹⁹³+7 =

3(0)₁₉₂7_<194>

= 37 · 4957 · 374537 · 2347550130303692987846536043_<28> · 186033436713641467706744823075248193665097195594585990256073158564928103657674858202179097657763773806147132076266602430334149993988521991536520679398302653_<156>

3·10¹⁹⁴+7 =

3(0)₁₉₃7_<195>

= 1734986326637479007_<19> · 431168604266382453431_<21> · 248787236500857218390561_<24> · 439982137238951968875436976379228563_<36> · 2181760916727482904956744337987008327579_<40> · 1679220662527382761557265816940310453170712534544646764943_<58> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=974592591 for P36 / Sep 2, 2007) (JMB / Sep 4, 2007)

3·10¹⁹⁵+7 =

3(0)₁₉₄7_<196>

= 97 · 48305287 · 2620757107_<10> · 51098821185311_<14> · [4780983007353680036102140571096017639779659729616985292014830648238947513982041515182759800486993865331730311764870486166875314250668701282753411675708926920814469_<163>] SUBMIT/RESERVE

3·10¹⁹⁶+7 =

3(0)₁₉₅7_<197>

= 19² · 37² · 139 · 443 · [985807409815500749900689934051483172167635728664392044245387506030601661731327405585290743952476880143633787880107670777784357344870832264688389953340247710050937916568745280232817773199_<186>] SUBMIT/RESERVE

3·10¹⁹⁷+7 =

3(0)₁₉₆7_<198>

= 2357 · 8929 · 1802680774763383_<16> · 97148865973080265245073984193_<29> · 81395854489413446318803739695291383680562514323245286068600107617125030508665056235124237334794958273834035260731457900762605517868916643151494701_<146> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1336248685 for P29 / Oct 21, 2008)

3·10¹⁹⁸+7 =

3(0)₁₉₇7_<199>

= 17 · 31 · 709 · [8029054471781888058922554416916682501746319347612560652815655585679378444129824458105731941987405089885264811598236819637996697382260607050045096522616508271264281680641682033384808493669090549_<193>] SUBMIT/RESERVE

3·10¹⁹⁹+7 =

3(0)₁₉₈7_<200>

= 37 · 73 · 2753 · 6011 · 175837 · 11755019 · [324720816411515690650673408536444899754714392456839282470432568075122659691357063562042955277261678198937357539352722026601892496240523919921494184109021141367880004401453969543_<177>] SUBMIT/RESERVE

3·10²⁰⁰+7 =

3(0)₁₉₉7_<201>

= 71 · 3881 · 15824563 · 1401171022897_<13> · 1108993863080776935793291_<25> · [44275884662845995953373372136213144952289737390869534839615907525960586741800046846773330040655828415052963543919809282412565145533157406014804922827257_<152>] SUBMIT/RESERVE