Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 4·10¹+3 = 43 is prime. (Makoto Kamada / Nov 24, 2004)
2. 4·10³+3 = 4003 is prime. (Makoto Kamada / Nov 24, 2004)
3. 4·10⁷+3 = 40000003 is prime. (Makoto Kamada / Nov 24, 2004)
4. 4·10¹⁰+3 = 40000000003_<11> is prime. (Makoto Kamada / Nov 24, 2004)
5. 4·10⁴⁰+3 = 4(0)₃₉3_<41> is prime. (Makoto Kamada / PPSIQS / Nov 24, 2004)
6. 4·10⁴¹⁹+3 = 4(0)₄₁₈3_<420> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PPSIQS / Jan 17, 2005)
7. 4·10⁴⁴⁹+3 = 4(0)₄₄₈3_<450> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 17, 2005)
8. 4·10¹⁷³⁷+3 = 4(0)₁₇₃₆3_<1738> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 29, 2006)
9. 4·10²²⁴⁵+3 = 4(0)₂₂₄₄3_<2246> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Serge Batalov / PRIMO 3.0.6 / Jul 1, 2008)
10. 4·10³¹³¹+3 = 4(0)₃₁₃₀3_<3132> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
11. 4·10³⁸¹³+3 = 4(0)₃₈₁₂3_<3814> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
12. 4·10⁵³⁴⁵+3 = 4(0)₅₃₄₄3_<5346> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)
13. 4·10⁵⁶⁵⁹+3 = 4(0)₅₆₅₈3_<5660> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)
14. 4·10⁵⁶⁸¹+3 = 4(0)₅₆₈₀3_<5682> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)
15. 4·10⁸⁴¹⁰+3 = 4(0)₈₄₀₉3_<8411> is PRP. (Makoto Kamada / PFGW / Dec 31, 2004)
16. 4·10⁹⁰⁹⁷+3 = 4(0)₉₀₉₆3_<9098> is PRP. (Makoto Kamada / PFGW / Jan 4, 2005)

• 1-10000

• A101397 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

4·10¹+3 =

43

= definitely prime number

4·10²+3 =

403

= 13 · 31

4·10³+3 =

4003

= definitely prime number

4·10⁴+3 =

40003

= 109 · 367

4·10⁵+3 =

400003

= 269 · 1487

4·10⁶+3 =

4000003

= 7 · 139 · 4111

4·10⁷+3 =

40000003

= definitely prime number

4·10⁸+3 =

400000003

= 13 · 1783 · 17257

4·10⁹+3 =

4000000003_<10>

= 23687 · 168869

4·10¹⁰+3 =

40000000003_<11>

= definitely prime number

4·10¹¹+3 =

400000000003_<12>

= 59 · 5521 · 1227977

4·10¹²+3 =

4000000000003_<13>

= 7 · 571428571429_<12>

4·10¹³+3 =

40000000000003_<14>

= 1620733 · 24680191

4·10¹⁴+3 =

400000000000003_<15>

= 13 · 12799 · 15193 · 158233

4·10¹⁵+3 =

4000000000000003_<16>

= 17² · 23 · 601775236949_<12>

4·10¹⁶+3 =

40000000000000003_<17>

= 19² · 110803324099723_<15>

4·10¹⁷+3 =

400000000000000003_<18>

= 31 · 277 · 46582042622569_<14>

4·10¹⁸+3 =

4000000000000000003_<19>

= 7 · 571428571428571429_<18>

4·10¹⁹+3 =

40000000000000000003_<20>

= 29 · 1193 · 10723 · 25943 · 4156091

4·10²⁰+3 =

400000000000000000003_<21>

= 13² · 9342079 · 253355158453_<12>

4·10²¹+3 =

4000000000000000000003_<22>

= 3637 · 1099807533681605719_<19>

4·10²²+3 =

40000000000000000000003_<23>

= 43 · 1597 · 552317869 · 1054623697_<10>

4·10²³+3 =

400000000000000000000003_<24>

= 5529864491_<10> · 72334503069833_<14>

4·10²⁴+3 =

4000000000000000000000003_<25>

= 7 · 36313 · 15736198370516658733_<20>

4·10²⁵+3 =

40000000000000000000000003_<26>

= 67 · 131 · 4557365842543010140139_<22>

4·10²⁶+3 =

400000000000000000000000003_<27>

= 13 · 30769230769230769230769231_<26>

4·10²⁷+3 =

4000000000000000000000000003_<28>

= 47 · 85106382978723404255319149_<26>

4·10²⁸+3 =

40000000000000000000000000003_<29>

= 1831772893_<10> · 21836768167526322271_<20>

4·10²⁹+3 =

400000000000000000000000000003_<30>

= 3461 · 115573533660791678705576423_<27>

4·10³⁰+3 =

4000000000000000000000000000003_<31>

= 7² · 17918827 · 929224609 · 4902680951929_<13>

4·10³¹+3 =

40000000000000000000000000000003_<32>

= 17 · 113 · 157 · 15460147 · 8578658012253554917_<19>

4·10³²+3 =

400000000000000000000000000000003_<33>

= 13 · 31 · 199 · 523² · 607 · 8179 · 59809 · 61410559003_<11>

4·10³³+3 =

4000000000000000000000000000000003_<34>

= 1252548654233_<13> · 3193488721162217725691_<22>

4·10³⁴+3 =

40000000000000000000000000000000003_<35>

= 19 · 2105263157894736842105263157894737_<34>

4·10³⁵+3 =

400000000000000000000000000000000003_<36>

= 703217 · 568814462676528013401268740659_<30>

4·10³⁶+3 =

4000000000000000000000000000000000003_<37>

= 7 · 11149 · 719839 · 71201749258188406897696039_<26>

4·10³⁷+3 =

40000000000000000000000000000000000003_<38>

= 23 · 3417863 · 11106131 · 28767319337_<11> · 1592631563401_<13>

4·10³⁸+3 =

400000000000000000000000000000000000003_<39>

= 13 · 61 · 151 · 3340487544157069724326265418437821_<34>

4·10³⁹+3 =

4000000000000000000000000000000000000003_<40>

= 3559 · 5959039 · 188606117700241577197335460603_<30>

4·10⁴⁰+3 =

40000000000000000000000000000000000000003_<41>

= definitely prime number

4·10⁴¹+3 =

400000000000000000000000000000000000000003_<42>

= 233 · 1937339 · 1239445849_<10> · 174437176759_<12> · 4098565147759_<13>

4·10⁴²+3 =

4000000000000000000000000000000000000000003_<43>

= 7 · 514081 · 1533793 · 588702187 · 645627007 · 1906717307857_<13>

4·10⁴³+3 =

40000000000000000000000000000000000000000003_<44>

= 43 · 1949 · 6597728841459523_<16> · 72341120951148076950623_<23>

4·10⁴⁴+3 =

400000000000000000000000000000000000000000003_<45>

= 13 · 94138981 · 326848989041327834542517841458585251_<36>

4·10⁴⁵+3 =

4000000000000000000000000000000000000000000003_<46>

= 85554671991781313_<17> · 46753729596254594601616296131_<29>

4·10⁴⁶+3 =

40000000000000000000000000000000000000000000003_<47>

= 11056524438627739261_<20> · 3617773399048763681664977023_<28>

4·10⁴⁷+3 =

400000000000000000000000000000000000000000000003_<48>

= 17 · 29 · 31 · 503 · 1483 · 53342777 · 2087124133_<10> · 315150747280807479049_<21>

4·10⁴⁸+3 =

4000000000000000000000000000000000000000000000003_<49>

= 7 · 5743 · 370561 · 629509 · 29265534253_<11> · 14574881252350104917899_<23>

4·10⁴⁹+3 =

40000000000000000000000000000000000000000000000003_<50>

= 96737 · 413492252188924610025119654320477170059026019_<45>

4·10⁵⁰+3 =

400000000000000000000000000000000000000000000000003_<51>

= 13 · 619 · 947203 · 420238111 · 124878447097068053404902022142353_<33>

4·10⁵¹+3 =

4000000000000000000000000000000000000000000000000003_<52>

= 997 · 16703 · 19334827 · 12423102295978191365878024219063375979_<38>

4·10⁵²+3 =

40000000000000000000000000000000000000000000000000003_<53>

= 19 · 139 · 1717151534304991_<16> · 8820292101058400274622073281224013_<34>

4·10⁵³+3 =

400000000000000000000000000000000000000000000000000003_<54>

= 113736971 · 205345229454254982049_<21> · 17126700982101592925834057_<26>

4·10⁵⁴+3 =

4000000000000000000000000000000000000000000000000000003_<55>

= 7 · 506224025651386627704835321_<27> · 1128805711450147951504196749_<28>

4·10⁵⁵+3 =

40000000000000000000000000000000000000000000000000000003_<56>

= 167 · 257 · 373 · 655043214941420453112883_<24> · 3814447242350040082886443_<25>

4·10⁵⁶+3 =

400000000000000000000000000000000000000000000000000000003_<57>

= 13 · 229 · 7237 · 94026330103_<11> · 6772499207780011_<16> · 29155744481593836839059_<23>

4·10⁵⁷+3 =

4000000000000000000000000000000000000000000000000000000003_<58>

= 1913 · 758192900771_<12> · 2757816131651999470095997764009837314313961_<43>

4·10⁵⁸+3 =

40000000000000000000000000000000000000000000000000000000003_<59>

= 67 · 1231334149_<10> · 484852081669290509020235867123571992329212476941_<48>

4·10⁵⁹+3 =

400000000000000000000000000000000000000000000000000000000003_<60>

= 23 · 163315541 · 15789751463_<11> · 255568626556589_<15> · 26388931651976961368052403_<26>

4·10⁶⁰+3 =

4000000000000000000000000000000000000000000000000000000000003_<61>

= 7 · 631 · 1291 · 1505223991_<10> · 466020710964249919277261248950521303496753439_<45>

4·10⁶¹+3 =

40000000000000000000000000000000000000000000000000000000000003_<62>

= 11715631 · 8527688325586767640299523_<25> · 400371345601809272177979841231_<30>

4·10⁶²+3 =

400000000000000000000000000000000000000000000000000000000000003_<63>

= 13 · 31 · 1092463 · 3279390781699_<13> · 277048011019479194194042226938639674113173_<42>

4·10⁶³+3 =

4000000000000000000000000000000000000000000000000000000000000003_<64>

= 17 · 74204163711511347990420743_<26> · 3170901818418546091021277212217881813_<37>

4·10⁶⁴+3 =

40000000000000000000000000000000000000000000000000000000000000003_<65>

= 43 · 29077 · 239383 · 732801400264626147547_<21> · 182373756375451621296178240918873_<33>

4·10⁶⁵+3 =

400000000000000000000000000000000000000000000000000000000000000003_<66>

= 4897007 · 91140629 · 896225393550567626004411111430780045971410451574201_<51>

4·10⁶⁶+3 =

4000000000000000000000000000000000000000000000000000000000000000003_<67>

= 7 · 727 · 786009039103949695421497347219493024169777952446453134211043427_<63>

4·10⁶⁷+3 =

40000000000000000000000000000000000000000000000000000000000000000003_<68>

= 857 · 4984984436833854319_<19> · 9363007313740275447130543099248941684370785141_<46>

4·10⁶⁸+3 =

400000000000000000000000000000000000000000000000000000000000000000003_<69>

= 13 · 5119 · 14437 · 1854533283495367_<16> · 28694593629301657_<17> · 7823837871411872332717728883_<28>

4·10⁶⁹+3 =

4000000000000000000000000000000000000000000000000000000000000000000003_<70>

= 59 · 32533 · 1205901887_<10> · 328729116101154124253440727_<27> · 5256948467486007993654347501_<28>

4·10⁷⁰+3 =

40000000000000000000000000000000000000000000000000000000000000000000003_<71>

= 19 · 97 · 601 · 2971761873163904493819043_<25> · 12151955698323834928541791881818181870547_<41>

4·10⁷¹+3 =

400000000000000000000000000000000000000000000000000000000000000000000003_<72>

= 14202971 · 16572542984479_<14> · 1699384437973117568257322220194835951205844123659367_<52>

4·10⁷²+3 =

4000000000000000000000000000000000000000000000000000000000000000000000003_<73>

= 7² · 163 · 181 · 17406058021883851_<17> · 158963459299121978057868223270123375968989113977799_<51>

4·10⁷³+3 =

40000000000000000000000000000000000000000000000000000000000000000000000003_<74>

= 47 · 38651 · 98408142554574728256715931_<26> · 223753771364935104631412998476650404951829_<42>

4·10⁷⁴+3 =

400000000000000000000000000000000000000000000000000000000000000000000000003_<75>

= 13 · 4423 · 907267 · 393959963360490547_<18> · 19463121630578963076845880068289883893278245153_<47>

4·10⁷⁵+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000003_<76>

= 29 · 192703981903169033189_<21> · 692627876009531473013076623_<27> · 1033406855356254553510513181_<28>

4·10⁷⁶+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000003_<77>

= 28191931 · 109289310103_<12> · 759865446779947_<15> · 358896508908960601_<18> · 47604888563333520693755893_<26>

4·10⁷⁷+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000003_<78>

= 31 · 643 · 20067225204434856770180103346209802839512366427532232980484623488687101791_<74>

4·10⁷⁸+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000003_<79>

= 7 · 752484841 · 759388814622740590958201869515895574793949332766122033508750206741469_<69>

4·10⁷⁹+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000003_<80>

= 17 · 40217863089699709946201623753351_<32> · 58504878074270570805668029332137033440247501909_<47> (Makoto Kamada / GGNFS-0.61.3)

4·10⁸⁰+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000003_<81>

= 13 · 193 · 11779 · 963181 · 27229732902193_<14> · 2571702684596833_<16> · 200668341681534899665756229395868014057_<39>

4·10⁸¹+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000003_<82>

= 23 · 919 · 489989436803651256409361574497_<30> · 386215701843389652460659709818016609033839909427_<48> (Makoto Kamada / GGNFS-0.61.3)

4·10⁸²+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000003_<83>

= 1965571 · 46275720811_<11> · 5329642249540100939055458167_<28> · 82512549255444045959336643292923146389_<38>

4·10⁸³+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000000003_<84>

= 283 · 3251 · 7839769653287083_<16> · 9169875801760125509_<19> · 6047694299909460387623389320225188893148053_<43>

4·10⁸⁴+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<85>

= 7 · 9601 · 1222159 · 572412223 · 6617846398437817_<16> · 12855595223112980416462018000648398107630718754141_<50>

4·10⁸⁵+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<86>

= 43 · 540190215440868360530293_<24> · 1722046293230874531237050233554512421861689939541840263312197_<61>

4·10⁸⁶+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<87>

= 13 · 277 · 9657356773_<10> · 11502138534960762244536108377341140842644974426073563733983487373329613911_<74>

4·10⁸⁷+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<88>

= 1093 · 3989 · 2182577 · 132941281143903049_<18> · 3161887102397275282347510972596922724350016430622109923043_<58>

4·10⁸⁸+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<89>

= 19 · 421 · 2398867 · 191350477 · 46950909538681_<14> · 44817686757153901_<17> · 5177202217027806290251487898457694674543_<40>

4·10⁸⁹+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<90>

= 662321331848557_<15> · 603936459186040453832931240163982225177904975175429595185517268200687052079_<75>

4·10⁹⁰+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<91>

= 7 · 4003 · 102259 · 6789687919875078991_<19> · 205600897865496745909841816785723349111998355974436881793309347_<63>

4·10⁹¹+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<92>

= 67 · 159879252529_<12> · 3734161349452416593104154486986109200706503217569395159008782357606671488251921_<79>

4·10⁹²+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<93>

= 13 · 31 · 302987593 · 3275895958107791842366045573361126228793353623179096721538696776127830638625142857_<82>

4·10⁹³+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<94>

= 515653 · 2016409 · 67424191 · 57056886754417315955593031668936021807225920337545087601534033689526854529_<74>

4·10⁹⁴+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<95>

= 160235387265042924361213310800063_<33> · 249632747689101949347527741384205376473772244328443516301352381_<63> (Makoto Kamada / GGNFS-0.61.3)

4·10⁹⁵+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<96>

= 17 · 3168862859_<10> · 3569949433698210893189_<22> · 2079914875457913598243792445576833817624632341729556601502275909_<64>

4·10⁹⁶+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<97>

= 7 · 164122388870399209_<18> · 3481722240100985764537026367513513312245513315581946229602357470585591903759581_<79>

4·10⁹⁷+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<98>

= 1397189 · 28628911335545871031048770066182885779948167356026994200498286201795175885295403843001913127_<92>

4·10⁹⁸+3 =

400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<99>

= 13² · 61 · 139 · 43633 · 825301 · 19224409609812811_<17> · 403225690931051006827034621383764292357940500078338504752008096531_<66>

4·10⁹⁹+3 =

4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<100>

= 3679453 · 13739741 · 79122169216533028312084450587495254858902508500825650977748500951465581521073834159211_<86>

4·10¹⁰⁰+3 =

40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003_<101>

= 263073848445071927083549627052866428045181_<42> · 152048560647227291488352660711022861393906946872917710945663_<60> (Makoto Kamada / GGNFS-0.61.3 / 0.57 hours)

4·10¹⁰¹+3 =

4(0)₁₀₀3_<102>

= 27409 · 299006143979_<12> · 48807514071067393196893297461566367062600793161528567545868321932515556736365597510073_<86>

4·10¹⁰²+3 =

4(0)₁₀₁3_<103>

= 7 · 1444687 · 24759043 · 329892728386250840772201577591_<30> · 48426333618294308227066708262511191032340613776828454629359_<59> (Makoto Kamada / Msieve 1.21 for P30 x P59 / 1.3 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹⁰³+3 =

4(0)₁₀₂3_<104>

= 23 · 29 · 149 · 132989 · 4359474767_<10> · 5000294302747_<13> · 21003151917471131_<17> · 6610251148158616292841851334549385279275052480122459151_<55>

4·10¹⁰⁴+3 =

4(0)₁₀₃3_<105>

= 13 · 1957086243885661507_<19> · 2020383526373258068932229669873_<31> · 7781670830487480975075498692612523765954523835636334421_<55> (Makoto Kamada / Msieve 1.21 for P31 x P55 / 44 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹⁰⁵+3 =

4(0)₁₀₄3_<106>

= 26641774879_<11> · 1243681713696752480448523_<25> · 2558877519422687531398902976661_<31> · 47177843937382527807444728801342373334619_<41> (Makoto Kamada / Msieve 1.21 for P31 x P41 / 2.3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹⁰⁶+3 =

4(0)₁₀₅3_<107>

= 19 · 43 · 1422695689_<10> · 728719273889174277348190729_<27> · 9593307103955838393068505521701_<31> · 4922631375855969255378368432000495239_<37> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1841835567 for P31 / May 22, 2007)

4·10¹⁰⁷+3 =

4(0)₁₀₆3_<108>

= 31 · 593 · 47074377439_<11> · 102347646395347_<15> · 2321802954514236535820271610129681_<34> · 1945162101718577957824273238473005486437700017_<46> (Makoto Kamada / Msieve 1.21 for P34 x P46 / 12 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹⁰⁸+3 =

4(0)₁₀₇3_<109>

= 7 · 53887 · 458210225212357_<15> · 232931499453707914944074233_<27> · 2305828604173231223727905635771_<31> · 43088157532196592153119605021717_<32> (Makoto Kamada / Msieve 1.21 for P31 x P32 / 27 seconds on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹⁰⁹+3 =

4(0)₁₀₈3_<110>

= 157 · 659 · 3015622139_<10> · 8789691551616868774948328182836667117193493269_<46> · 14585602253855018384156891160085996096225659769091_<50> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.62 hours on Core 2 Quad Q6600 / May 25, 2007)

4·10¹¹⁰+3 =

4(0)₁₀₉3_<111>

= 13 · 349 · 12865806673_<11> · 6852581206364793317702827753475558688893946919349263338168095404246296488637765897286437688853803_<97>

4·10¹¹¹+3 =

4(0)₁₁₀3_<112>

= 17 · 1061 · 5431 · 3916426088914262500957_<22> · 24037074049042231771482129505828138857389_<41> · 433754853110404164185779637213028415023113_<42> (Makoto Kamada / Msieve 1.21 for P41 x P42 / 26 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹¹²+3 =

4(0)₁₁₁3_<113>

= 109 · 366972477064220183486238532110091743119266055045871559633027522935779816513761467889908256880733944954128440367_<111>

4·10¹¹³+3 =

4(0)₁₁₂3_<114>

= 151 · 2521 · 9341 · 9946673530747_<13> · 213150967517384807318120724304052423803_<39> · 53058095146024700376361296298594029717899946692445353_<53> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.67 hours on Core 2 Quad Q6600 / May 26, 2007)

4·10¹¹⁴+3 =

4(0)₁₁₃3_<115>

= 7² · 1021 · 3207018465358387_<16> · 24930828356632241332212356615093313483098762503430413270723591402599025343424553441072571395861_<95>

4·10¹¹⁵+3 =

4(0)₁₁₄3_<116>

= 389 · 810028972969_<12> · 126943315520245226648235215122992574872963405537941034496704303318529050817247431492844231711375283983_<102>

4·10¹¹⁶+3 =

4(0)₁₁₅3_<117>

= 13 · 11303513240301787_<17> · 29633428267406760787_<20> · 91858911340652280678247707831211883422979867000931894281093394331335203035192399_<80>

4·10¹¹⁷+3 =

4(0)₁₁₆3_<118>

= 27919 · 157747 · 78066983 · 1030466172731_<13> · 52782015879397236339899_<23> · 213900556969295705920721918800059799987549750820302658466495339473_<66>

4·10¹¹⁸+3 =

4(0)₁₁₇3_<119>

= 211621276763532507670415744223334748617_<39> · 189016910831212661627315911618686407924531685546937547055501093534558399895914859_<81> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.96 hours on Core 2 Quad Q6600 / May 25, 2007)

4·10¹¹⁹+3 =

4(0)₁₁₈3_<120>

= 47 · 977 · 141871 · 23360919038493371193241_<23> · 979342115367401422202381_<24> · 3492073820802070530525307_<25> · 768539455491897698431689459718814113301_<39>

4·10¹²⁰+3 =

4(0)₁₁₉3_<121>

= 7 · 5612274364620889506308759859628576707925837_<43> · 101817647232428482152474928700295254049026878546996061124502636639930949090617_<78> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.81 hours on Core 2 Quad Q6600 / May 26, 2007)

4·10¹²¹+3 =

4(0)₁₂₀3_<122>

= 6961 · 170977595876812450723_<21> · 34585230048100307623332840382749782681057_<41> · 971758800986673748132478129675100273134597913849135461393_<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.97 hours on Core 2 Quad Q6600 / May 26, 2007)

4·10¹²²+3 =

4(0)₁₂₁3_<123>

= 13 · 31 · 751 · 140302808583575220937569935644682059_<36> · 9419950992110895877545261702594558645655155927342812397620420321479963685240471389_<82> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.17 hours on Core 2 Quad Q6600 / May 26, 2007)

4·10¹²³+3 =

4(0)₁₂₂3_<124>

= 69654799971724406209_<20> · 57426049627933116630888947965849336670461929170721643555957933746420337327757344197684310249267708176067_<104>

4·10¹²⁴+3 =

4(0)₁₂₃3_<125>

= 19 · 67 · 98926811115971491993_<20> · 317627120727642727863108477985491134969102581502737558321771738632117212679241276544314298617036257427_<102>

4·10¹²⁵+3 =

4(0)₁₂₄3_<126>

= 23 · 12973 · 552011 · 270424717701619708607_<21> · 16607592862206514667866399723_<29> · 2002436999818684619322552805837_<31> · 270042468531600274446420277679962091_<36> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=159528211 for P36 / May 22, 2007)

4·10¹²⁶+3 =

4(0)₁₂₅3_<127>

= 7 · 2689657 · 19582464016673805247755977616241_<32> · 179063494877062505880412645812193_<33> · 60588563744576868591308703969643081921575538027488700669_<56> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=808262192 for P33 / May 22, 2007) (Makoto Kamada / Msieve 1.21 for P32 x P56 / 1.1 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹²⁷+3 =

4(0)₁₂₆3_<128>

= 17 · 43² · 59 · 11285195303_<11> · 521293731281094645703485420673506602610925860757394203_<54> · 3666321666068084664903157915264085011548958113765261075461_<58> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.62 hours on Core 2 Quad Q6600 / May 27, 2007)

4·10¹²⁸+3 =

4(0)₁₂₇3_<129>

= 13 · 543248403613_<12> · 56639339507659545043474209085859160935513261169699453555031372526642361564268534316030299853532486056871768250567387_<116>

4·10¹²⁹+3 =

4(0)₁₂₈3_<130>

= 2125328766779684187720000305302944444700439100557051_<52> · 1882061760289836591422460816044047312356413460440607394774696364308476485811353_<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 2.58 hours on Core 2 Quad Q6600 / May 25, 2007)

4·10¹³⁰+3 =

4(0)₁₂₉3_<131>

= 18775423254242536747470151_<26> · 9216558447751648739364061213_<28> · 27215602876078480656252573412258483_<35> · 8493437875015212423615891593770534705445107_<43> (Makoto Kamada / Msieve 1.21 for P35 x P43 / 9.4 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹³¹+3 =

4(0)₁₃₀3_<132>

= 29 · 199 · 122709869 · 17745113024976168939376435372018500870859981957_<47> · 31831027271271917917211409577687106292138046864406391959013403689139371721_<74> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 2.30 hours on Core 2 Quad Q6600 / May 27, 2007)

4·10¹³²+3 =

4(0)₁₃₁3_<133>

= 7 · 367699 · 75669648215166599173_<20> · 1112013696695243458462948812197952325199534586937_<49> · 18468756317073684462309916330756661620043623970152551745171_<59> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 2.52 hours on Core 2 Quad Q6600 / May 27, 2007)

4·10¹³³+3 =

4(0)₁₃₂3_<134>

= 1610513 · 3981084129240481_<16> · 6238704295353856503164400656259624529816029641133765294703451212944892292858742856759609095297487297601471595251_<112>

4·10¹³⁴+3 =

4(0)₁₃₃3_<135>

= 13 · 14847271921_<11> · 119228841896299_<15> · 1378915574100727281289807_<25> · 1246929404598807676544463133134304025759071_<43> · 10109021211106208981114442276532687402729837_<44> (Makoto Kamada / Msieve 1.21 for P43 x P44 / 38 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹³⁵+3 =

4(0)₁₃₄3_<136>

= 11328523 · 167209353214438072108071764699_<30> · 2111670406352169953615950969505952926778362473341224768552933956228839776053527035084886239827494539_<100> (suberi / GMP-ECM 6.1.2 B1=1000000, sigma=1914283015 for P30 / May 26, 2007)

4·10¹³⁶+3 =

4(0)₁₃₅3_<137>

= 27739 · 176431 · 85693987 · 615417073 · 1652141749_<10> · 507844181944179043_<18> · 3545607390121939838871483707257_<31> · 52096191387344066342417246282819807171507372224926283_<53> (Makoto Kamada / Msieve 1.21 for P31 x P53 / 42 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 24, 2007)

4·10¹³⁷+3 =

4(0)₁₃₆3_<138>

= 31 · 2677 · 9857 · 211632281186902167467053_<24> · 2310591953058840359849977453840662508890967017970212612238759050240365837713869843964234869344035186557389_<106>

4·10¹³⁸+3 =

4(0)₁₃₇3_<139>

= 7 · 1033 · 930729119481891694801482963283168394796716926087_<48> · 594344609294641138185135993021839496344619029158623927721993187831394871362972952598299_<87> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 4.68 hours on Core 2 Quad Q6600 / May 28, 2007)

4·10¹³⁹+3 =

4(0)₁₃₈3_<140>

= 730085207 · 4622218820599_<13> · 1090080139886653_<16> · 2443464119454710007355153216679458364521_<40> · 4450118210277028673112750346091921480847013205495714394729918167_<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 8.54 hours on Core 2 Quad Q6600 / May 28, 2007)

4·10¹⁴⁰+3 =

4(0)₁₃₉3_<141>

= 13 · 6271 · 3583081 · 106008901 · 663715681652299_<15> · 15998791042740433_<17> · 341804726631197143_<18> · 881016660147692389_<18> · 7275799489711586311_<19> · 555224635685842824645369750125550019_<36>

4·10¹⁴¹+3 =

4(0)₁₄₀3_<142>

= 2203 · 4052041277140292797_<19> · 112337436097652014259149829_<27> · 3988844679446693555912397892920017310079394614551388692329952864369366285112034054096432643977_<94>

4·10¹⁴²+3 =

4(0)₁₄₁3_<143>

= 19 · 397523109523_<12> · 1792722597263327053_<19> · 361944429343387970109181659326070203309043443208301_<51> · 8161857721768944819535587526816743204330570033059102272751923_<61> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 6.94 hours on Cygwin on AMD 64 3400+ / May 29, 2007)

4·10¹⁴³+3 =

4(0)₁₄₂3_<144>

= 17 · 113 · 78787 · 2262548272661_<13> · 668738863741807343_<18> · 29265125636007894785323_<23> · 59686106943410752640846922736381784765660417207930297289703128003378037852368088441_<83>

4·10¹⁴⁴+3 =

4(0)₁₄₃3_<145>

= 7 · 139 · 193770466069024922717310499_<27> · 21215807548751484962253067138510843971444743670553328791941361291829629575242899926689208262680512641632556871780389_<116>

4·10¹⁴⁵+3 =

4(0)₁₄₄3_<146>

= 15679 · 8391654179_<10> · 1630535804362988309_<19> · 646714525652426822605941812765336474593578059_<45> · 288304285235034063465342910556093561504177705697017827218911974846793_<69> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 7.95 hours on Cygwin on AMD 64 3400+ / May 29, 2007)

4·10¹⁴⁶+3 =

4(0)₁₄₅3_<147>

= 13 · 41023 · 2958721 · 248105437 · 1101807494113_<13> · 7014417751034503_<16> · 41503832743290556850451533494303423483207_<41> · 3185395578251891000053013244421171035550838420033010094357_<58> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 / 14.41 hours on Core 2 Duo E6300 1.86GHz,Windows Vista and Cygwin / May 29, 2007)

4·10¹⁴⁷+3 =

4(0)₁₄₆3_<148>

= 23 · 307² · 1103 · 2153 · 196831 · 28317379524667_<14> · 139408515201118856613189939218865096249315247658508700780453385868737486171830996595382150641497936563719363478187823_<117>

4·10¹⁴⁸+3 =

4(0)₁₄₇3_<149>

= 43 · 433 · 100065703 · 12687175129_<11> · 6739023729247306489_<19> · 653001312242351067783538309652220151840959811_<45> · 384540790042736112351657990250185253692610846424727214146899269_<63> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 / 20.03 hours on Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin / May 30, 2007)

4·10¹⁴⁹+3 =

4(0)₁₄₈3_<150>

= 49117 · 64969 · 8868841 · 45712301 · 301046889247463311050153637_<27> · 1027041235264873861644509788687464071137204921399808014538536862534968482016607090799630357456517583_<100>

4·10¹⁵⁰+3 =

4(0)₁₄₉3_<151>

= 7 · 310940527 · 63337149079_<11> · 344795380705680471706981_<24> · 84152044367076220359093655691449270624041787994387478180495810213978219492706082301246050226372104299252873_<107>

4·10¹⁵¹+3 =

4(0)₁₅₀3_<152>

= 87523 · 4494503443_<10> · 1297415475912073088053509540386798385058609_<43> · 78374900853242505310466623601273918272208107442148395944232718006339250364736934925355798428203_<95> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 16.66 hours on Cygwin on AMD 64 3200+ / May 30, 2007)

4·10¹⁵²+3 =

4(0)₁₅₁3_<153>

= 13 · 31 · 1051 · 2801114324800249062766187692606357600549569364661409619095961178167_<67> · 337148626424781873328036805457958920928175121942812922349685550558244211164690453_<81> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 17.49 hours on Cygwin on AMD 64 3400+ / May 30, 2007)

4·10¹⁵³+3 =

4(0)₁₅₂3_<154>

= 163 · 647531 · 11061581 · 4124679348155700834063553597_<28> · 3535740861654872658270519573725613482190542128854473_<52> · 234922167135062332183441254151884253123634863112124506309891_<60> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 17.10 hours on Core 2 Quad Q6600 / May 30, 2007)

4·10¹⁵⁴+3 =

4(0)₁₅₃3_<155>

= 1327 · 870755550325850941_<18> · 22208856755600059957457268067062121_<35> · 1894425688430070080563866230389466204449_<40> · 822790066767611381874600814825665810874654564700976063637801_<60> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 28.57 hours on Cygwin on AMD 64 3200+ / May 31, 2007)

4·10¹⁵⁵+3 =

4(0)₁₅₄3_<156>

= 131 · 277 · 1597 · 131311 · 823553 · 667849372139_<12> · 492825456187630481531157139782940959270957733499511907_<54> · 193927631621634265976915268190761855606404319236001612241209942831445103_<72> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 17.81 hours on Core 2 Quad Q6600 / May 31, 2007)

4·10¹⁵⁶+3 =

4(0)₁₅₅3_<157>

= 7² · 14407 · 33849273943_<11> · 167394427925483075428243819528602166918331276032774336793883340354052175803147302279104909498258848880017372300728159607027092114374437257747_<141>

4·10¹⁵⁷+3 =

4(0)₁₅₆3_<158>

= 67 · 3613 · 289830419 · 570129170832163809741740595369391519907158357251093181381631732983630766970106185378605214139011991612182614437265356998465394693599732942364247_<144>

4·10¹⁵⁸+3 =

4(0)₁₅₇3_<159>

= 13 · 61 · 504413619167717528373266078184110970996216897856242118537200504413619167717528373266078184110970996216897856242118537200504413619167717528373266078184110971_<156>

4·10¹⁵⁹+3 =

4(0)₁₅₈3_<160>

= 17 · 29 · 409 · 4108499 · 39134819 · 417437569 · 3210493232143522115233150147270451_<34> · 2111007970395248522288822270407200076593257339_<46> · 43610401448779057354383384061999544768111674794916639_<53> (suberi / GMP-ECM 6.1.2 B1=5000000, sigma=1671372949 for P34 / Jun 6, 2007) (suberi / Msieve 1.22 for P46 x P53 / 08:04:32 on Sempron 3400+ 1.80GHz, Windows Vista / Jun 6, 2007)

4·10¹⁶⁰+3 =

4(0)₁₅₉3_<161>

= 19 · 2105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894736842105263157894737_<160>

4·10¹⁶¹+3 =

4(0)₁₆₀3_<162>

= 93187 · 34563163 · 1429384127_<10> · 174991800857_<12> · 5565980346411937268388128381439563107_<37> · 700131433832122433345260550981903682611_<39> · 127409931013861119158868865095362078118650478133953821_<54> (suberi / GMP-ECM 6.1.2 B1=5000000, sigma=883745355 for P37 / Jun 6, 2007) (suberi / Msieve 1.22 for P39 x P54 / 04:45:41 on Pentium 4 2.26GHz, Windows XP / Jun 6, 2007)

4·10¹⁶²+3 =

4(0)₁₆₁3_<163>

= 7 · 16111 · 898857769272037_<15> · 52633384675921297349532423419308829377260438229_<47> · 749699425654555588156813979006319175064153379838686656191939648186729452596767342041598941114643_<96> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Oct 9, 2007)

4·10¹⁶³+3 =

4(0)₁₆₂3_<164>

= 1316989799426812351_<19> · 9122825587223042642884812944337703070033_<40> · 3329263796544560932998781161768664065173476621162459775686753155158211188126981055831370511645586167117741_<106> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=2575813498 for P40 / Jun 8, 2007)

4·10¹⁶⁴+3 =

4(0)₁₆₃3_<165>

= 13 · 11467 · 9523399993242554891943426601_<28> · 31445722457122043977687400352333915199796312519950578127_<56> · 8960107578000945594964516537852622453791282510444775001014858922521752127659_<76> (Justin Card / GGNFS-0.77.1-20060722-k8 / May 3, 2008)

4·10¹⁶⁵+3 =

4(0)₁₆₄3_<166>

= 47 · 2239 · 64301 · 5622060993572083_<16> · 17162193244336712083651773667387_<32> · 6126634498248786631325750859569676596678356085694049608225501662771812141931771359526911934006293383097455871_<109> (suberi / GMP-ECM 6.1.2 B1=5000000, sigma=943201141 for P32 / Jun 5, 2007)

4·10¹⁶⁶+3 =

4(0)₁₆₅3_<167>

= 97 · 52318521292866967_<17> · 7881934042291838479932765365505117965273182241769017501103032161886510234435138139324129256880163852351188419822271536920099308299032115075306792597_<148>

4·10¹⁶⁷+3 =

4(0)₁₆₆3_<168>

= 31 · 28775130387762169_<17> · 6041416682842093129_<19> · [74223632824287101220549315945782000862835222389763578613791663462566236830006268443320120891440306051384873701485049523314547213213_<131>] SUBMIT/RESERVE

4·10¹⁶⁸+3 =

4(0)₁₆₇3_<169>

= 7 · 2547542022769_<13> · 224305847095495028562474049923259277322508553763735462624339784362722529566381749832436665082137269640064005279132291137107176906459348048196470504526769141_<156>

4·10¹⁶⁹+3 =

4(0)₁₆₈3_<170>

= 23 · 43 · 2695744223_<10> · 1095863878505531791352248008590604473_<37> · 13690786705166299346121105341688039593329430814257896520268003985603036085194932170203623925361810203165403423559971573513_<122> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=1598264602 for P37 / Jun 8, 2007)

4·10¹⁷⁰+3 =

4(0)₁₆₉3_<171>

= 13 · 2332022449008725190543961_<25> · 9091674957193157331925985427613_<31> · 5519848976962319518553726010848147162459426482482457_<52> · 262913457234491688131920560141939578410279343647748980394630731_<63> (suberi / GMP-ECM 6.1.2 B1=5000000, sigma=1435742688 for P31 / Jun 6, 2007) (honeycrack7 / GGNFS-0.77.1-20060513-k8 / 226.94 hours on DualCore Intel Core 2 Duo E6400, 1600 MHz, Windows XP and Cygwin / Jul 28, 2007)

4·10¹⁷¹+3 =

4(0)₁₇₀3_<172>

= 439 · 36277 · 1268563 · 15218882404130261_<17> · [13009760588936549424115996217884317573935345630505968615454955194796197691159254066522117811387603269907811985842646853086028926492340905051407_<143>] SUBMIT/RESERVE

4·10¹⁷²+3 =

4(0)₁₇₁3_<173>

= 4297 · 304933 · 9172777578559994863_<19> · 5526492335788471398452047_<25> · 602198648126887280513574836358871919550787524058802489496528115892764759974094786609751416324263314911652342664866295823_<120>

4·10¹⁷³+3 =

4(0)₁₇₂3_<174>

= 179 · 769 · 1534843 · 3663690269_<10> · 516770735432063961884535453306912440046755002754711793504756148013469177780667065588262761178299758254636079664852862964306313644724812107747307995148959_<153>

4·10¹⁷⁴+3 =

4(0)₁₇₃3_<175>

= 7 · 571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571429_<174>

4·10¹⁷⁵+3 =

4(0)₁₇₄3_<176>

= 17 · 6883 · 19412177 · 169757677820354209_<18> · 7869296226745426570552208159293_<31> · 13182377316446225748087882274614574555076488881805882086115583209285537401151576878380413502502112486527863046837877_<116> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=1958534315 for P31 / Jun 10, 2007)

4·10¹⁷⁶+3 =

4(0)₁₇₅3_<177>

= 13² · 14479 · 1727839 · 3661730251935283360279392267311779_<34> · 30175961085952909008534878737421283007_<38> · 856217277330621580192849824402420828954681540263284216581477838361242201893253167019116379159_<93> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=1337949521 for P38 / Jun 8, 2007) (Robert Backstrom / GMP-ECM 6.0.1 B1=1178000, sigma=1375184272 for P34 / Feb 11, 2008)

4·10¹⁷⁷+3 =

4(0)₁₇₆3_<178>

= 4003 · 36482783222777_<14> · 50658903671601877607_<20> · 540667982031990222482833145305316014107462605980191475513186809952744748995369725009518989792884573064584708322426776457165694335234652899759_<141>

4·10¹⁷⁸+3 =

4(0)₁₇₇3_<179>

= 19 · 2851 · 1750141 · 421925850077734778458472888293811439505113004562393105404304970874418011511629520756037200371809088337426866070440373903570871723599361920857626823069384258132891918807_<168>

4·10¹⁷⁹+3 =

4(0)₁₇₈3_<180>

= 9679838127597185553923930374350132743_<37> · [41323005067574566304410175051619336014247547874804676702862982021554231126531999977945569827460087540832516415965598056089191661607896947926821_<143>] (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=2524219083 for P37 / May 25, 2007) SUBMIT/RESERVE

4·10¹⁸⁰+3 =

4(0)₁₇₉3_<181>

= 7 · 83826283922298951250679670902394172492665030066721447476491438645405060824416416839171_<86> · 6816818600216674079721080459803918316770769056707557617751767138646831184079876164364702748599_<94> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 / 402.02 hours on Core 2 Duo E6300 1.86GHz, Windows Vista and Cygwin / Jun 17, 2007)

4·10¹⁸¹+3 =

4(0)₁₈₀3_<182>

= 684195100951_<12> · 58462856492836361259109602571820183971207927451367688826987109269761299203190733838587286169549432395465108989983531525621363729635133448218188190392627820539215996529653_<170>

4·10¹⁸²+3 =

4(0)₁₈₁3_<183>

= 13 · 31 · 26041856359_<11> · 361844469631_<12> · 105332178576577671647313782376139506954454126740931473679707225542479919248058581178576852982066796279456661813720362879251252880665382416977701665986539669369_<159>

4·10¹⁸³+3 =

4(0)₁₈₂3_<184>

= 247811 · 12355093 · 354318850535269817_<18> · 1535067212949415823_<19> · 358545789680150774171_<21> · 6699264286447980099506742287099132028978595797521871835704810763880430688611776436093231786071444095178728900347601_<115>

4·10¹⁸⁴+3 =

4(0)₁₈₃3_<185>

= 643 · 44017 · 49859134658930905291_<20> · 3260581655841388369657396033_<28> · 5986920270178566508580072759197219_<34> · 598460262591086976314911215354850882063724060041_<48> · 2426330557371719231339466672548563551076810498249_<49> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=3847881528 for P34 / Jun 10, 2007) (suberi / Msieve v. 1.23 for P48 x P49 / 09:44:48 on Pentium 4 2.26GHz, Windows XP / Jun 11, 2007)

4·10¹⁸⁵+3 =

4(0)₁₈₄3_<186>

= 59 · 11020580464970018963281153740355391062570795450373519356122648057289_<68> · 615181844413636911986288389296689173200938369983514842349545281535581167010170014581500501046126500380108078763742353_<117> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 676.35 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 21, 2007)

4·10¹⁸⁶+3 =

4(0)₁₈₅3_<187>

= 7 · 1447 · 8011 · 88882471 · 84750025669_<11> · 3526320744211_<13> · 1855790376396659490972052841574130847984609734208039206281273992842996381600157241574818780760615341594861483032615065929831833505368029925834276833_<148>

4·10¹⁸⁷+3 =

4(0)₁₈₆3_<188>

= 29 · 157 · 18289 · 724558778467_<12> · 12789947662689371_<17> · 1226050020366609411992546893_<28> · 42278717264163328182462252178030159259398428803154456142915805295906566483370986771666957936474890142243664317413128579035959_<125>

4·10¹⁸⁸+3 =

4(0)₁₈₇3_<189>

= 13 · 151 · 50311 · [4050202544047648688833499443952755480878371070909903214031140974559533638618025124682194528939826171179603163787365865012439741466256147587274599773413443774526317927554290357785071_<181>] SUBMIT/RESERVE

4·10¹⁸⁹+3 =

4(0)₁₈₈3_<190>

= 4073 · 2740957 · 3428923 · 667970431 · 1742817889_<10> · 1937455415981_<13> · [46328118373450985108210439675675568593035608934536210921248060212004753468711546090114223716940730507414425052507999107293200292545902578496519_<143>] SUBMIT/RESERVE

4·10¹⁹⁰+3 =

4(0)₁₈₉3_<191>

= 43 · 67 · 139 · 3643 · 359510878809739_<15> · 1210334710134169237_<19> · [63012286164902784862115566256894294516558531998452560198459491066024731451192780286328215103179379574403277357162667406511048462390811100211451421533_<149>] SUBMIT/RESERVE

4·10¹⁹¹+3 =

4(0)₁₉₀3_<192>

= 17 · 23 · 263 · 771973 · 290812553 · 3939201304198453_<16> · [4398494470727862035136007069942900812170257219436438393714402359879483082450124049631605456308415670106421827950293978769072580707443477867388157187996552963_<157>] SUBMIT/RESERVE

4·10¹⁹²+3 =

4(0)₁₉₁3_<193>

= 7 · 2287 · 88741 · 456553 · 5088649 · 11725447 · 103359015490664326725355445054887187173102054677430133066642497451076692216819215517603496425587705969764037478529511187729270407381470703373657296591145732618953993_<165>

4·10¹⁹³+3 =

4(0)₁₉₂3_<194>

= 9226055135669165281_<19> · [4335547469834061658147640270649033830947751346180887685982242725322739227885527197088689212274797976410149229278074449718558275634579825277633238195596546383299247872616363363_<175>] SUBMIT/RESERVE

4·10¹⁹⁴+3 =

4(0)₁₉₃3_<195>

= 13 · 487 · 10747520347_<11> · 1061459829998311_<16> · 56889821479343939004524558081383_<32> · 1097437743804222790112801602356295333_<37> · 88707711400317344925950831681572035023026603223066152620648506409066689217254920192657566027207151_<98> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1395551294 for P32 / May 24, 2007) (Robert Backstrom / GMP-ECM 6.0.1 B1=3962000, sigma=529594722 for P37 / Apr 15, 2008)

4·10¹⁹⁵+3 =

4(0)₁₉₄3_<196>

= 334619 · 1899148878726749048488989889567829_<34> · [6294342673917283095296597333781389878764955396535221356317197348749861635004950569207387365842036953134093517964225806435213623451826519913911915772485876053_<157>] (matsui / GMP-ECM B1=80000000, sigma=1533119823 for P34 / May 17, 2008) SUBMIT/RESERVE

4·10¹⁹⁶+3 =

4(0)₁₉₅3_<197>

= 19 · 1999 · 67219 · 232417 · 105162433573_<12> · 879893400439_<12> · 728522501185067418692213792158887231189645499390755057215334878391600133103008264202971419245285496432026575387763290483756122592128121062099652085597870759623_<159>

4·10¹⁹⁷+3 =

4(0)₁₉₆3_<198>

= 31 · 1697 · 241373051 · 50647276074597052651963_<23> · 506225605061761913883409_<24> · 1228647988633267077039506055160330792161688659957583837888735937413053436384998321717851570266417684443725172201007549189750660741686747637_<139>

4·10¹⁹⁸+3 =

4(0)₁₉₇3_<199>

= 7³ · 499 · 6623605628946997_<16> · 1337219835698580307_<19> · [2638566529232341089643546066807989595166818810117536594989975833327270688254378755998477840372259078317921239139584373535543895418449639572065879395910130094201_<160>] SUBMIT/RESERVE

4·10¹⁹⁹+3 =

4(0)₁₉₈3_<200>

= 45491 · 69341177 · 642372473 · 215197013955613_<15> · [91731846444149282395183045329358971581786594897232060962151261769801087003729907341616894523281414484963839531410779527315328140564686878844874943589901734834104821_<164>] SUBMIT/RESERVE

4·10²⁰⁰+3 =

4(0)₁₉₉3_<201>

= 13 · 991 · 87691 · 814976131 · 287615789104916661244746697_<27> · [1510533456914556659284000396935645808300129721824648349906140727379221285272794845339437152159459642112098507021131327692168684883902682243075699276411538793_<157>] SUBMIT/RESERVE