Since June 16, 2000

STUDIO KAMADA

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Last update

Sequence

General term

Room for prime numbers

Prime numbers

1. 5·10¹-3 = 47 is prime. (Makoto Kamada / Dec 3, 2004)
2. 5·10¹⁵-3 = 4(9)₁₄7_<16> is prime. (Makoto Kamada / Dec 3, 2004)
3. 5·10⁴¹-3 = 4(9)₄₀7_<42> is prime. (Makoto Kamada / PPSIQS / Dec 3, 2004)
4. 5·10⁶⁴-3 = 4(9)₆₃7_<65> is prime. (Makoto Kamada / PPSIQS / Dec 3, 2004)
5. 5·10¹³¹-3 = 4(9)₁₃₀7_<132> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
6. 5·10¹³⁸-3 = 4(9)₁₃₇7_<139> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
7. 5·10¹⁹²-3 = 4(9)₁₉₁7_<193> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 3, 2005)
8. 5·10²⁸⁷-3 = 4(9)₂₈₆7_<288> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PFGW / Jan 2, 2005)
9. 5·10⁴⁹⁵-3 = 4(9)₄₉₄7_<496> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
10. 5·10⁹⁶⁶-3 = 4(9)₉₆₅7_<967> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
11. 5·10¹⁰⁹¹-3 = 4(9)₁₀₉₀7_<1092> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 13, 2006)
12. 5·10¹³⁶⁶-3 = 4(9)₁₃₆₅7_<1367> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 6, 2006)
13. 5·10¹⁷¹⁴-3 = 4(9)₁₇₁₃7_<1715> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 22, 2006)
14. 5·10¹⁷⁷⁴-3 = 4(9)₁₇₇₃7_<1775> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 3, 2006)
15. 5·10³²⁵³-3 = 4(9)₃₂₅₂7_<3254> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
16. 5·10⁶³³¹-3 = 4(9)₆₃₃₀7_<6332> is PRP. (Makoto Kamada / PFGW / Dec 24, 2004)

• 1-10000

• A103003 (On-Line Encyclopedia of Integer Sequences)

Condition

Status

Factorization results

5·10¹-3 =

47

= definitely prime number

5·10²-3 =

497

= 7 · 71

5·10³-3 =

4997

= 19 · 263

5·10⁴-3 =

49997

= 17² · 173

5·10⁵-3 =

499997

= 23 · 21739

5·10⁶-3 =

4999997

= 43 · 116279

5·10⁷-3 =

49999997

= 1181 · 42337

5·10⁸-3 =

499999997

= 7 · 71428571

5·10⁹-3 =

4999999997_<10>

= 29 · 139 · 1240387

5·10¹⁰-3 =

49999999997_<11>

= 19009 · 2630333

5·10¹¹-3 =

499999999997_<12>

= 49369 · 10127813

5·10¹²-3 =

4999999999997_<13>

= 109 · 353 · 129947761

5·10¹³-3 =

49999999999997_<14>

= 2711 · 18443378827_<11>

5·10¹⁴-3 =

499999999999997_<15>

= 7² · 421 · 24237723593_<11>

5·10¹⁵-3 =

4999999999999997_<16>

= definitely prime number

5·10¹⁶-3 =

49999999999999997_<17>

= 3572939 · 13994081623_<11>

5·10¹⁷-3 =

499999999999999997_<18>

= 313 · 1033 · 1546412477693_<13>

5·10¹⁸-3 =

4999999999999999997_<19>

= 67 · 113 · 6779 · 9907 · 9833519

5·10¹⁹-3 =

49999999999999999997_<20>

= 2593 · 56611 · 340617267839_<12>

5·10²⁰-3 =

499999999999999999997_<21>

= 7 · 17 · 181 · 4021 · 435889 · 13244467

5·10²¹-3 =

4999999999999999999997_<22>

= 19 · 12720394507_<11> · 20687872109_<11>

5·10²²-3 =

49999999999999999999997_<23>

= 229 · 971 · 1097819 · 204825747857_<12>

5·10²³-3 =

499999999999999999999997_<24>

= 1094578489_<10> · 456796844652773_<15>

5·10²⁴-3 =

4999999999999999999999997_<25>

= 5669089 · 881975922410108573_<18>

5·10²⁵-3 =

49999999999999999999999997_<26>

= 557 · 146236513 · 613845372682417_<15>

5·10²⁶-3 =

499999999999999999999999997_<27>

= 7 · 643 · 6317 · 17585313477732438541_<20>

5·10²⁷-3 =

4999999999999999999999999997_<28>

= 23 · 43² · 383 · 306977456373745298717_<21>

5·10²⁸-3 =

49999999999999999999999999997_<29>

= 61 · 911 · 899749869536268917241007_<24>

5·10²⁹-3 =

499999999999999999999999999997_<30>

= 191 · 2617801047120418848167539267_<28>

5·10³⁰-3 =

4999999999999999999999999999997_<31>

= 322433 · 2041997 · 7594084417641586097_<19>

5·10³¹-3 =

49999999999999999999999999999997_<32>

= 622129 · 80369183883085340821598093_<26>

5·10³²-3 =

499999999999999999999999999999997_<33>

= 7 · 1123 · 1619 · 39286682702442900931793683_<26>

5·10³³-3 =

4999999999999999999999999999999997_<34>

= 1129 · 173653383642913_<15> · 25503090523739861_<17>

5·10³⁴-3 =

49999999999999999999999999999999997_<35>

= 36293 · 1377676135893974044581599757529_<31>

5·10³⁵-3 =

499999999999999999999999999999999997_<36>

= 67347553037_<11> · 176928946829_<12> · 41961334436789_<14>

5·10³⁶-3 =

4999999999999999999999999999999999997_<37>

= 17 · 294117647058823529411764705882352941_<36>

5·10³⁷-3 =

49999999999999999999999999999999999997_<38>

= 29 · 71 · 2113 · 195585376487827_<15> · 58759457879881133_<17>

5·10³⁸-3 =

499999999999999999999999999999999999997_<39>

= 7 · 3361 · 21252178348280698771624091469375611_<35>

5·10³⁹-3 =

4999999999999999999999999999999999999997_<40>

= 19 · 225149 · 17121977485637_<14> · 68264114230454681951_<20>

5·10⁴⁰-3 =

49999999999999999999999999999999999999997_<41>

= 7643219 · 48290939 · 4136883279409_<13> · 32745738023213_<14>

5·10⁴¹-3 =

499999999999999999999999999999999999999997_<42>

= definitely prime number

5·10⁴²-3 =

4999999999999999999999999999999999999999997_<43>

= 4817 · 409682873 · 2533643749583487010279026456917_<31>

5·10⁴³-3 =

49999999999999999999999999999999999999999997_<44>

= 7561 · 746807 · 8854874008852855451773797354845011_<34>

5·10⁴⁴-3 =

499999999999999999999999999999999999999999997_<45>

= 7 · 353 · 202347227842978551193848644273573452043707_<42>

5·10⁴⁵-3 =

4999999999999999999999999999999999999999999997_<46>

= 677 · 3027428738207_<13> · 2439536983653170370610845109223_<31>

5·10⁴⁶-3 =

49999999999999999999999999999999999999999999997_<47>

= 4327 · 8280554629_<10> · 1395480211752957375265854958248959_<34>

5·10⁴⁷-3 =

499999999999999999999999999999999999999999999997_<48>

= 47 · 173 · 2473 · 24865770839144671193198435863443751114919_<41>

5·10⁴⁸-3 =

4999999999999999999999999999999999999999999999997_<49>

= 43 · 1651511 · 70407687122545269432123842390251982493889_<41>

5·10⁴⁹-3 =

49999999999999999999999999999999999999999999999997_<50>

= 23 · 29131 · 739565251 · 2987996491_<10> · 33769932662779040776648609_<26>

5·10⁵⁰-3 =

499999999999999999999999999999999999999999999999997_<51>

= 7 · 4387227565368409_<16> · 16281027223754998360326042544283219_<35>

5·10⁵¹-3 =

4999999999999999999999999999999999999999999999999997_<52>

= 67 · 300193 · 248596288626456283273680996568824305119925087_<45>

5·10⁵²-3 =

49999999999999999999999999999999999999999999999999997_<53>

= 17 · 3677 · 257717 · 12139327 · 119713669183429_<15> · 2135728453357986306103_<22>

5·10⁵³-3 =

499999999999999999999999999999999999999999999999999997_<54>

= 425265963026981804453233_<24> · 1175734818843887943670434047309_<31>

5·10⁵⁴-3 =

4999999999999999999999999999999999999999999999999999997_<55>

= 367 · 16473271601937179631311_<23> · 827035365581707602005266206781_<30>

5·10⁵⁵-3 =

49999999999999999999999999999999999999999999999999999997_<56>

= 139 · 787 · 49435256077967_<14> · 9245782729395351332467938214449160387_<37>

5·10⁵⁶-3 =

499999999999999999999999999999999999999999999999999999997_<57>

= 7² · 59 · 163 · 1299498307_<10> · 4524528497_<10> · 180461790630901333843350411205871_<33>

5·10⁵⁷-3 =

4999999999999999999999999999999999999999999999999999999997_<58>

= 19 · 32177391176368489_<17> · 8178347750270967277344457649259263348567_<40>

5·10⁵⁸-3 =

49999999999999999999999999999999999999999999999999999999997_<59>

= 2099 · 2999 · 4271 · 1859736987140698819198693702767734129421681448807_<49>

5·10⁵⁹-3 =

499999999999999999999999999999999999999999999999999999999997_<60>

= 48974662411_<11> · 16635557394639191_<17> · 613707168695722466584698699698497_<33>

5·10⁶⁰-3 =

4999999999999999999999999999999999999999999999999999999999997_<61>

= 233 · 41777 · 42463 · 9376520341_<10> · 1290103220476154397741030067691242892399_<40>

5·10⁶¹-3 =

49999999999999999999999999999999999999999999999999999999999997_<62>

= 311 · 1583 · 648289 · 676147 · 1938149 · 119545094830966443902052138062218869307_<39>

5·10⁶²-3 =

499999999999999999999999999999999999999999999999999999999999997_<63>

= 7 · 197 · 293 · 8039 · 88468482586239187_<17> · 1739993038949011535440162573544271607_<37>

5·10⁶³-3 =

4999999999999999999999999999999999999999999999999999999999999997_<64>

= 167 · 17299 · 1785366409_<10> · 115657693218525186820517_<24> · 8381671757023602578039453_<25>

5·10⁶⁴-3 =

49999999999999999999999999999999999999999999999999999999999999997_<65>

= definitely prime number

5·10⁶⁵-3 =

499999999999999999999999999999999999999999999999999999999999999997_<66>

= 29 · 131314247333_<12> · 131298618851482181584328241886372263802209663605540621_<54>

5·10⁶⁶-3 =

4999999999999999999999999999999999999999999999999999999999999999997_<67>

= 53925917 · 92719795566944183814250205518062863910130633476293041062241_<59>

5·10⁶⁷-3 =

49999999999999999999999999999999999999999999999999999999999999999997_<68>

= 461 · 32971 · 34865971782071_<14> · 35091540579747323647873_<23> · 2688640586966877618597989_<25>

5·10⁶⁸-3 =

499999999999999999999999999999999999999999999999999999999999999999997_<69>

= 7 · 17 · 41568481 · 101078523226983145307263214261632832948073114831985361232523_<60>

5·10⁶⁹-3 =

4999999999999999999999999999999999999999999999999999999999999999999997_<70>

= 43 · 20947 · 112253 · 198769 · 1747835281_<10> · 38004721695027601_<17> · 3745372768984992571207374721_<28>

5·10⁷⁰-3 =

49999999999999999999999999999999999999999999999999999999999999999999997_<71>

= 1433 · 2897 · 16493 · 1729261171697_<13> · 37028084047618890113_<20> · 11404699033160168654595173689_<29>

5·10⁷¹-3 =

499999999999999999999999999999999999999999999999999999999999999999999997_<72>

= 23 · 11353 · 149731 · 2110523758961021_<16> · 26920795580009566388927_<23> · 225082468551809774638219_<24>

5·10⁷²-3 =

4999999999999999999999999999999999999999999999999999999999999999999999997_<73>

= 71 · 349 · 155598491 · 6994523477_<10> · 185405543696407919195030575934031570210978713161249_<51>

5·10⁷³-3 =

49999999999999999999999999999999999999999999999999999999999999999999999997_<74>

= 48407 · 160877 · 1016357 · 268746202513_<12> · 23506028487363238571922241716603804791870018203_<47>

5·10⁷⁴-3 =

499999999999999999999999999999999999999999999999999999999999999999999999997_<75>

= 7 · 677938716601_<12> · 17741010347467491414453286391_<29> · 5938861240593698575102089053545381_<34>

5·10⁷⁵-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999997_<76>

= 19 · 5021 · 15649 · 8735994979_<10> · 18138840105166494863_<20> · 21135751940953336766613571493361815111_<38>

5·10⁷⁶-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999997_<77>

= 353 · 183343 · 125930581713339864823_<21> · 134679748234620219473_<21> · 45550952233475565843224079317_<29>

5·10⁷⁷-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999997_<78>

= 8017 · 19852901 · 354022858667399_<15> · 8873661119772503513029672449229538800267442894476559_<52>

5·10⁷⁸-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999997_<79>

= 131 · 244261 · 183755241179_<12> · 11755343318154434399_<20> · 72338504393891025220215008336518586671927_<41>

5·10⁷⁹-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999997_<80>

= 1607 · 5347 · 6859387 · 848317912662988806779202387974523826894655699305027596825197570539_<66>

5·10⁸⁰-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999997_<81>

= 7 · 172987 · 9751817 · 76862754967_<11> · 460038342713_<12> · 1197465410772493667462142873805048959806322119_<46>

5·10⁸¹-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999997_<82>

= 3728175643_<10> · 277918858753_<12> · 9135030446338840867_<19> · 160167869777620760903_<21> · 3298148630427917388043_<22>

5·10⁸²-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999997_<83>

= 11093389 · 261623623 · 1244715174394860475234429_<25> · 13840724449798488461365406835612824692643219_<44>

5·10⁸³-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999997_<84>

= 149 · 3355704697986577181208053691275167785234899328859060402684563758389261744966442953_<82>

5·10⁸⁴-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<85>

= 17 · 67 · 1017941673039419526224420164436140217_<37> · 4312443182168100804562477456886283570843205319_<46> (Makoto Kamada / GGNFS-0.70.1 / 0.09 hours)

5·10⁸⁵-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<86>

= 85989984830930394836756501_<26> · 581463063382412853579106568135187289640179971385687508519497_<60>

5·10⁸⁶-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<87>

= 7 · 24007 · 13751275850579238667_<20> · 212726017267844634288437537_<27> · 1017115958899049974640700114891213607_<37>

5·10⁸⁷-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<88>

= 97 · 51546391752577319587628865979381443298969072164948453608247422680412371134020618556701_<86>

5·10⁸⁸-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<89>

= 61 · 359 · 54046563493832658585276653_<26> · 42245225808354132161273077324801322118957521719430900088851_<59>

5·10⁸⁹-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<90>

= 47431408363_<11> · 84525494597_<11> · 124714302875049678148805341922275832596363490145645792167758270394827_<69>

5·10⁹⁰-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<91>

= 43 · 173 · 19013 · 35351251841208087458601121128186841999637338577611414472379702818570156825294120471_<83>

5·10⁹¹-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<92>

= 40129 · 23143662641039_<14> · 459796009224121_<15> · 117088536923954656081204739644858816618483581008940121732747_<60>

5·10⁹²-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<93>

= 7 · 307 · 26700711889_<11> · 15691400866882474068152329_<26> · 555327308725165670003861333418825567223707716199279713_<54>

5·10⁹³-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<94>

= 19 · 23 · 29 · 47 · 28210817543_<11> · 107163935353_<12> · 2776696326585547910155279839323266477429202975387367931027633753853_<67>

5·10⁹⁴-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<95>

= 431 · 8761 · 12757885337_<11> · 48338932002343_<14> · 18578525604235081_<17> · 1155718494199024207955032531266751956063729663677_<49>

5·10⁹⁵-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<96>

= 308946279399080237_<18> · 22676233040483221042061_<23> · 71370070109630870091248927030963492367950914029032163221_<56>

5·10⁹⁶-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<97>

= 201733007152836779621429730266961864863837_<42> · 24785235051851998084352952192883779041908273502066971681_<56> (Makoto Kamada / GGNFS-0.70.7 / 0.46 hours)

5·10⁹⁷-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<98>

= 479 · 3366859 · 5074541179_<10> · 6109600045120382050258893299772953687202955270799840261766487291285615985250763_<79>

5·10⁹⁸-3 =

499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<99>

= 7² · 127717621 · 142993129728145626508153927141_<30> · 558737644001524335178682594713952083761417477204020419416773_<60> (Makoto Kamada / GGNFS-0.70.7 / 0.48 hours)

5·10⁹⁹-3 =

4999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<100>

= 7583 · 659369642621653699063695107477251747329552947382302518792034814717130423315310563101674798892259_<96>

5·10¹⁰⁰-3 =

49999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997_<101>

= 17 · 7207 · 1334569 · 3354763271_<10> · 692525032882977697275662049735786342907_<39> · 131621904980530428297593073312604988569391_<42> (Makoto Kamada / GGNFS-0.70.7 / 0.52 hours)

5·10¹⁰¹-3 =

4(9)₁₀₀7_<102>

= 139 · 30386606303_<11> · 176954069560232966083_<21> · 668978946265009758045871206554126812408617563906961279774295881869827_<69>

5·10¹⁰²-3 =

4(9)₁₀₁7_<103>

= 78309830957840149_<17> · 63848943853446216214777149910191846007410635442277704392718547915383184329039295962953_<86>

5·10¹⁰³-3 =

4(9)₁₀₂7_<104>

= 283 · 842759 · 1452767 · 498429245563_<12> · 289521411006855383115663631782174876295815412826844384347712844942270704403181_<78>

5·10¹⁰⁴-3 =

4(9)₁₀₃7_<105>

= 7 · 71428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571428571_<104>

5·10¹⁰⁵-3 =

4(9)₁₀₄7_<106>

= 24025776632807_<14> · 431637716673367890124964879_<27> · 482140021278924611961643030310682727260397528056078510093027700949_<66>

5·10¹⁰⁶-3 =

4(9)₁₀₅7_<107>

= 51379467791652406382241099912651400334898984400190777_<53> · 973151380289763769238966237755432094392232133691333861_<54> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.45 hours on Core 2 Quad Q6600 / Jul 5, 2007)

5·10¹⁰⁷-3 =

4(9)₁₀₆7_<108>

= 71 · 6961480511303_<13> · 79597445851530989_<17> · 103431017316905824987766131_<27> · 122874033693383963661499128866972978668358916801691_<51>

5·10¹⁰⁸-3 =

4(9)₁₀₇7_<109>

= 353 · 275712539 · 2513201759_<10> · 76791462467689_<14> · 12751229015610633649_<20> · 14359354259501360821_<20> · 1453822987959198885561662215466256829_<37>

5·10¹⁰⁹-3 =

4(9)₁₀₈7_<110>

= 2693 · 7889023531_<10> · 33721565957_<11> · 69791521342352869030548964331408787932383154514908110161743386761475302321702795577487_<86>

5·10¹¹⁰-3 =

4(9)₁₀₉7_<111>

= 7 · 72786830951_<11> · 981339213362057897893224784375341784090315992037033624684707306986920293504571806544173452091808621_<99>

5·10¹¹¹-3 =

4(9)₁₁₀7_<112>

= 19 · 43 · 333055208641_<12> · 185378244525629501_<18> · 99122661055162110029905919956067325849100338665475993414631874254654688359400401_<80>

5·10¹¹²-3 =

4(9)₁₁₁7_<113>

= 607 · 83608081 · 327963190673738479808377021_<27> · 577336234149077392998838133_<27> · 5203303278327103730936777358401450159929086149587_<49>

5·10¹¹³-3 =

4(9)₁₁₂7_<114>

= 907436158859512909422687304965377963070381712507_<48> · 551002949483974443730009627016215019549109574303626681725606916071_<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.63 hours on Core 2 Quad Q6600 / Jul 5, 2007)

5·10¹¹⁴-3 =

4(9)₁₁₃7_<115>

= 59 · 712631 · 956279711 · 9202885265709596121907_<22> · 13512768386683038916744427714183215658302802817587439013021833625030003451509_<77>

5·10¹¹⁵-3 =

4(9)₁₁₄7_<116>

= 23 · 14449 · 22660679 · 548730830237_<12> · 3134568752899_<13> · 3860062146961249899263896736192967296857430245067460795434497691890919375204443_<79>

5·10¹¹⁶-3 =

4(9)₁₁₅7_<117>

= 7 · 17 · 315726038418057960174583_<24> · 13307995416917099960618857864075104653763886460581819322490445081904622186633225903897726061_<92>

5·10¹¹⁷-3 =

4(9)₁₁₆7_<118>

= 67 · 12101 · 18119 · 388299389 · 111766095673_<12> · 7842651710208697455142960797690144959947666677422363541492545101534567994244352081933537_<88>

5·10¹¹⁸-3 =

4(9)₁₁₇7_<119>

= 2887441 · 63010830359033312483466077306764627266644155646127728707_<56> · 274815790254415776711435696262112720520718579760139674831_<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.78 hours on Core 2 Quad Q6600 / Jul 5, 2007)

5·10¹¹⁹-3 =

4(9)₁₁₈7_<120>

= 457013 · 118627038406481516183_<21> · 1319367367045859375865097583_<28> · 999144768687761095197723818237_<30> · 6996222377535669692412866745524065733_<37> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1403367851 for P30 / Jun 28, 2007)

5·10¹²⁰-3 =

4(9)₁₁₉7_<121>

= 109 · 71651015110439976712949381761124614909_<38> · 640208091432102618875345096934692490876535014728092248096211914729816834699112037_<81> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.93 hours on Core 2 Quad Q6600 / Jul 6, 2007)

5·10¹²¹-3 =

4(9)₁₂₀7_<122>

= 29 · 109021647242663_<15> · 15814638419440270938523385070650359939106588455397732994852492896025083385119581683337173285479589221251511_<107>

5·10¹²²-3 =

4(9)₁₂₁7_<123>

= 7 · 2446494083906698889244510653_<28> · 6303845095126307972819884509608992783019357_<43> · 4631506328102789383103305306718062753677381160084451_<52> (Kenichiro Yamaguchi / Msieve v. 1.25 / 04:33:12 on Pentium M 760 (2GHz), Windows XP / Jul 6, 2007)

5·10¹²³-3 =

4(9)₁₂₂7_<124>

= 41339256942088911622012358254358042113678371404430757997789_<59> · 120950408155723983526356287938613353278226690610618708055828192673_<66> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.04 hours on Core 2 Quad Q6600 / Jul 5, 2007)

5·10¹²⁴-3 =

4(9)₁₂₃7_<125>

= 179 · 191 · 1464829 · 27211267 · 53419493 · 87576549321455915873827_<23> · 586221827091178536524456904006541_<33> · 13378220118302064821208417451785190438884061_<44> (Makoto Kamada / Msieve 1.25 for P33 x P44 / 5.8 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Jul 5, 2007)

5·10¹²⁵-3 =

4(9)₁₂₄7_<126>

= 2807305474271_<13> · 178106730664869952086240345850096421061808491273668174689291374444561795317299963156418406208903581512193898643107_<114>

5·10¹²⁶-3 =

4(9)₁₂₅7_<127>

= 883 · 6829 · 8909674456439_<13> · 93065850815795888011197180657815071785375966756519972123773055947698717489210131710984281262067555817164589_<107>

5·10¹²⁷-3 =

4(9)₁₂₆7_<128>

= 839 · 2617 · 50111 · 11155436211691_<14> · 182360423114391435624149_<24> · 223385049140021603369221354202728175984799882252173314217689792310950586366165131_<81>

5·10¹²⁸-3 =

4(9)₁₂₇7_<129>

= 7 · 1871 · 142184699 · 9755302500995483441296854824102920959702641390257253_<52> · 27523557876492693925945733984595465953928510734994989947908285283_<65> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.77 hours on Core 2 Quad Q6600 / Jul 6, 2007)

5·10¹²⁹-3 =

4(9)₁₂₈7_<130>

= 19 · 5261 · 39239 · 1746136413761693_<16> · 13370920529524715599137581_<26> · 54599754997926400656415199579497073147906461174046230827544830875855570088194309_<80>

5·10¹³⁰-3 =

4(9)₁₂₉7_<131>

= 113 · 53227621220765657_<17> · 3502832699809212443971673_<25> · 2373204197833222270432763356249522493603788300541190233363703665742931304634376645500829_<88>

5·10¹³¹-3 =

4(9)₁₃₀7_<132>

= definitely prime number

5·10¹³²-3 =

4(9)₁₃₁7_<133>

= 17 · 43 · 9419 · 847130269 · 4529169242543850181_<19> · 120009204729313242223006669_<27> · 372519304405885797098098771571_<30> · 4233657686251174597098957236732250419191843_<43> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=722899130 for P30 / Jun 28, 2007)

5·10¹³³-3 =

4(9)₁₃₂7_<134>

= 173 · 643 · 18781969 · 524739791 · 104657760217_<12> · 435769042984043360503414201073276165060691178435433159024443337581976278289187604164251904217522174061_<102>

5·10¹³⁴-3 =

4(9)₁₃₃7_<135>

= 7 · 77509 · 389398126303_<12> · 12900807453287380031_<20> · 376492399798776045137_<21> · 487251142523833608129857052952509141965372408196733295887622477848443727348559_<78>

5·10¹³⁵-3 =

4(9)₁₃₄7_<136>

= 1493 · 54236831003629030989999433_<26> · 61747004016719732154878504154513215246371875482868105950504703384975400346808513978993674558229897554882113_<107>

5·10¹³⁶-3 =

4(9)₁₃₅7_<137>

= 279607 · 2771172851_<10> · 64529507260597859445648909410295463969480925045019244724059040787422621205532732077314391107629225158818572642169021194921_<122>

5·10¹³⁷-3 =

4(9)₁₃₆7_<138>

= 23 · 163 · 39461 · 93871607 · 5891496177752933541219267704741_<31> · 7812216930943689316265896059629904893_<37> · 782262172768407880210825956642975867414150295248290803_<54> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 4.00 hours on Core 2 Quad Q6600 / Jul 6, 2007)

5·10¹³⁸-3 =

4(9)₁₃₇7_<139>

= definitely prime number

5·10¹³⁹-3 =

4(9)₁₃₈7_<140>

= 47 · 176244870499_<12> · 919081360411_<12> · 7694310452423100287_<19> · 11351706862980386196270719_<26> · 75191860162165508011176972481403272889846230145437130059613662725908803_<71>

5·10¹⁴⁰-3 =

4(9)₁₃₉7_<141>

= 7² · 353 · 17683 · 7038071 · 443271161426990882726557133_<27> · 523986563585219789193843440900278639481035903039565783132044798590919676166907149866411586422062429_<99>

5·10¹⁴¹-3 =

4(9)₁₄₀7_<142>

= 44500177 · 112359103650306829116657221385883476373588356738446231348697781584104710414972057302154101544360149398956323252377175937974359068279661_<135>

5·10¹⁴²-3 =

4(9)₁₄₁7_<143>

= 71 · 2143 · 2343611 · 1711248061_<10> · 2674951691_<10> · 1461605018313863471_<19> · 8731327716744500293395495818364077_<34> · 2400295605687202500809285138795364428820556768937793554302027_<61> (Jo Yeong Uk / Msieve v. 1.21 / 02:39:21 on Core 2 Quad Q6600 / Jul 6, 2007)

5·10¹⁴³-3 =

4(9)₁₄₂7_<144>

= 409 · 2935742145013115478236491256387688161775892870102820487172343_<61> · 416417323846778387561709274459675711946255835461780664134795831916578834221071331_<81> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 8.13 hours on Core 2 Quad Q6600 / Jul 6, 2007)

5·10¹⁴⁴-3 =

4(9)₁₄₃7_<145>

= 107240446964887_<15> · 46624199558186432392309966785117744461899150432398560117273761842841195911722401828932218973493247420129350977649336923019363835531_<131>

5·10¹⁴⁵-3 =

4(9)₁₄₄7_<146>

= 193 · 16747 · 14345549 · 1078346918901343442115600850696384562296641670997616702236943978144911413673163402803507433175570331505167266214993533670206814869843_<133>

5·10¹⁴⁶-3 =

4(9)₁₄₅7_<147>

= 7 · 797 · 239329 · 93483761128799642385893_<23> · 128452413621408811962701715902967521602390963_<45> · 31184577944989473183131805515755584538817242291977209687873566291246313_<71> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 62.55 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 10, 2007)

5·10¹⁴⁷-3 =

4(9)₁₄₆7_<148>

= 19 · 139 · 601 · 13681 · 40487 · 354995006736248519_<18> · 10067361505415681618873296936552921933923299611_<47> · 1591313628803614731260135467601813388393486021881617569796951585055279_<70> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 9.23 hours on Core 2 Quad Q6600 / Jul 7, 2007)

5·10¹⁴⁸-3 =

4(9)₁₄₇7_<149>

= 17 · 61 · 3907 · 184094837 · 856199339682423221681610853181988817318913_<42> · 1556144666064391456467500163826224366444427919_<46> · 50313134072976025481264005755700033644273942497_<47> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 10.81 hours on Core 2 Quad Q6600 / Jul 7, 2007)

5·10¹⁴⁹-3 =

4(9)₁₄₈7_<150>

= 29 · 6983106863_<10> · 208747880384388120276325252490914165886057736101_<48> · 11827725694599174236257190431349303144204489375682681972938043512380134113838243183754907011_<92> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 12.93 hours on Cygwin on AMD 64 3400+ / Jul 9, 2007)

5·10¹⁵⁰-3 =

4(9)₁₄₉7_<151>

= 67 · 3116051 · 28212754553911189_<17> · 9067846705098386264105687808083859986016022518939144596253611_<61> · 93614039200569581281008047873083290213666429881740082969167944179_<65> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 15.95 hours on Cygwin on AMD 64 3200+ / Jul 10, 2007)

5·10¹⁵¹-3 =

4(9)₁₅₀7_<152>

= 634507637 · 417761827603_<12> · 71242202947734331_<17> · 2647689517508960167810841091299215220446330764938054299070368674486891427750492647521070621669252396317887203793417_<115>

5·10¹⁵²-3 =

4(9)₁₅₁7_<153>

= 7 · 524804457379260584103481_<24> · 136105115770676701521934334580362621193664065825914114640867828567815549525402218036536872710968833906143547278185182407042067891_<129>

5·10¹⁵³-3 =

4(9)₁₅₂7_<154>

= 43 · 33904609 · 76081459 · 579700368787_<12> · 77760742606762207107995752029372273554455602306771829540480336580906176937542807401473811395618930861974645382481719762287007_<125>

5·10¹⁵⁴-3 =

4(9)₁₅₃7_<155>

= 223 · 421 · 2256879067_<10> · 7689247183_<10> · 7976152762042959475996039114316239979_<37> · 2921647769384774308532275896959632201186400323_<46> · 1316950995804027485247023644858332723329794421707_<49> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1009369748 for P37 / Jun 29, 2007) (Jo Yeong Uk / Msieve v. 1.21 / 02:06:04 on Core 2 Quad Q6600 / Jul 6, 2007)

5·10¹⁵⁵-3 =

4(9)₁₅₄7_<156>

= 10301 · 134672277970002900389_<21> · 637435188281167806145157344589_<30> · 565426783792604218081409721295694210735558603928980771914241878254880135871524101129682205666445409057_<102> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2147666242 for P30 / Jun 29, 2007)

5·10¹⁵⁶-3 =

4(9)₁₅₅7_<157>

= 1973 · 2053063 · 88666131158617287229707084514778242205719232955907723_<53> · 13921399093960280961780774878816447259601802769512930326480215435970153126193617396031190315661_<95> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 33.75 hours on Cygwin on AMD XP 2700+ / Jul 11, 2007)

5·10¹⁵⁷-3 =

4(9)₁₅₆7_<158>

= 170751714607368696896080865604341002901_<39> · 35723845046279761616907730154034566105895929934169_<50> · 8196845212810478814820742135146474925279643255860336587608186692950513_<70> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=3485350061 for P39 / Jul 6, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 24.71 hours on Core 2 Quad Q6600 / Jul 19, 2007)

5·10¹⁵⁸-3 =

4(9)₁₅₇7_<159>

= 7 · 2111 · 80552352457081_<14> · 5710039315042630712188991_<25> · 467341027637686776935113873903056598872599949645184321_<54> · 157410063903105298144279249626151629802510455702264743972251571_<63> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 gnfs for P54 x P63 / 75.59 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 13, 2007)

5·10¹⁵⁹-3 =

4(9)₁₅₈7_<160>

= 23 · 10611966307_<11> · 4368534516821_<13> · 5006536233163_<13> · 3603669365157562557541028774720347_<34> · 191027376246576260076013368620556928804243_<42> · 1360606753360105851237415658886311322045879676319_<49> (Jo Yeong Uk / GMP-ECM 6.1.2 B1=1000000, sigma=1850681587 for P34 / Jul 11, 2007) (Jo Yeong Uk / Msieve v. 1.21 for P42 x P49 / 00:56:01 on Core 2 Quad Q6600 / Jul 12, 2007)

5·10¹⁶⁰-3 =

4(9)₁₅₉7_<161>

= 197 · 253807106598984771573604060913705583756345177664974619289340101522842639593908629441624365482233502538071065989847715736040609137055837563451776649746192893401_<159>

5·10¹⁶¹-3 =

4(9)₁₆₀7_<162>

= 509 · 1747 · 84102469602460672319344905855931567246447997_<44> · 2165440703043832390582601658352828177598414559503_<49> · 3087480849537780573910857739142506288073610114206777292982835929_<64> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 84.32 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 23, 2007)

5·10¹⁶²-3 =

4(9)₁₆₁7_<163>

= 8544406184158733288717788329856875808280189100763_<49> · 585178172974730942884427619934926129351771486625491327311590996532550927049973737667478017100778019085012646208519_<114> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 43.47 hours on Cygwin on AMD 64 3400+ / Jul 11, 2007)

5·10¹⁶³-3 =

4(9)₁₆₂7_<164>

= 2833 · 184967 · 13315699 · 74998792236344109387450078891725779_<35> · 95545654112791421636906751022948221950213818775035727503822215288586505310116495426553720942470582028517007755987_<113> (Sinkiti Sibata / GGNFS-0.77.1-20060722-pentium4 / 96.02 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jul 27, 2007)

5·10¹⁶⁴-3 =

4(9)₁₆₃7_<165>

= 7 · 17 · 265628159462057789779216016761_<30> · 14415395583187368964117409453669561022245725587364267441064003881_<65> · 1097292384810779781467311229833121140205885608438153270649880660837643_<70> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1474611541 for P30 / Jul 1, 2007) (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.34 / Apr 13, 2008)

5·10¹⁶⁵-3 =

4(9)₁₆₄7_<166>

= 19 · 57057317 · 98215463 · 2605629635761_<13> · 3946732535812616137099_<22> · 7543512127570632979961763022705421_<34> · 605342568468243602479097354297941125861779312424902349610895360925921457852332187_<81> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P34 x P81 / 27.02 hours on Core 2 Quad Q6600 / Jul 13, 2007)

5·10¹⁶⁶-3 =

4(9)₁₆₅7_<167>

= 257 · 895590737 · 217233744326767615319704467628936874431778189354924875395856802292143455579986647283792288326880661605293373774414504665263969225325378402357466796444695533_<156>

5·10¹⁶⁷-3 =

4(9)₁₆₆7_<168>

= 14831 · 33713168363562807632661317510619648034522284404288315015845189130874519587350819229991234576225473670015508057447238891511024206054885038095880250825972624907288787_<164>

5·10¹⁶⁸-3 =

4(9)₁₆₇7_<169>

= 2957 · 5297 · 38287 · 66179 · 1421954227_<10> · 1694194073272983839_<19> · 8731823085626565428330649512690831_<34> · 5989126214432165607435098739078535035401301616100708973660232195133893598575906722810990487_<91> (Robert Backstrom / GMP-ECM 6.0 B1=2892000, sigma=1753386300 for P34 / Feb 10, 2008)

5·10¹⁶⁹-3 =

4(9)₁₆₈7_<170>

= 8179 · 27521513353_<11> · 222125022568951667698673364523718462498830378136922674372333018515744861393233471503319841448129128649180398413072190888288546580600806975946758570048804631_<156>

5·10¹⁷⁰-3 =

4(9)₁₆₉7_<171>

= 7 · 5651 · 227097137 · 15754689472675987541294126496349_<32> · [3532849609827764557824712935521280431199925581138817459746251706817133265070845561065976460386265718854344947085699143667566717_<127>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2046799467 for P32 / Jul 1, 2007) SUBMIT/RESERVE

5·10¹⁷¹-3 =

4(9)₁₇₀7_<172>

= 46000847 · 6121638571_<10> · 958447987411_<12> · 6312681043024475375491430161_<28> · 241198112402284085400049735671995479639288153_<45> · 12166907050378837298642013658257125610939904245160777794608634185199787_<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-pentium3 gnfs for P45 x P71 / 26.09 hours on Core 2 Quad Q6600 for sieving/matrix step and Pentium III 1GHz for square root / Jul 12, 2007)

5·10¹⁷²-3 =

4(9)₁₇₁7_<173>

= 59 · 353 · 523 · 23317240815680513793728307194023_<32> · 196863154737187697808157354538347125371017344088184233882709087124676505651120496188022985521571073738622003460582153635002254179501059_<135> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=4172484179 for P32 / Jul 2, 2007)

5·10¹⁷³-3 =

4(9)₁₇₂7_<174>

= 102763 · 25709777413703494223347_<23> · [189249575203982257361587975771115279247406659562017227437299222457867144747709591119052166809217860945833542257131223575991234112864475554014018477_<147>] SUBMIT/RESERVE

5·10¹⁷⁴-3 =

4(9)₁₇₃7_<175>

= 43 · 176159 · 37080907 · 17801080494251007545211645509111674643532888770315437763813231971051393413656757016542969430351784204906239783765921191160533743858193244067401584121996377576283_<161>

5·10¹⁷⁵-3 =

4(9)₁₇₄7_<176>

= 82494503209048359090450275383194039527_<38> · [606100989217373462581008360915327251534574087696954550955083284282765441327791625110225200206880593890686186829406312682705912893389087611_<138>] (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=464340137 for P38 / Jul 6, 2007) SUBMIT/RESERVE

5·10¹⁷⁶-3 =

4(9)₁₇₅7_<177>

= 7 · 173 · 77699 · 628139 · 647526059 · [13064639250085726336348696010904573138398173637585315342534448757488438526780921374388630551831766636208884969853630214036920260492386264043355757076461173_<155>] SUBMIT/RESERVE

5·10¹⁷⁷-3 =

4(9)₁₇₆7_<178>

= 29 · 71 · 647 · 11597 · 32257 · 11155845410727571_<17> · 4116890636843482409367503214379_<31> · 218457987170696445427188464234004646047913220813017808820800049784287693771198669963461651749956944384214219693687749_<117> (matsui / GMP-ECM 6.2.1 for P31 / Oct 30, 2008)

5·10¹⁷⁸-3 =

4(9)₁₇₇7_<179>

= 14347 · 3485049139192862619362933017355544713180455844427406426430612671638670105248484003624451104760577124137450338049766501707674078204502683487837178504216909458423363769429148951_<175>

5·10¹⁷⁹-3 =

4(9)₁₇₈7_<180>

= 1900472818297_<13> · 143368179663990121285177_<24> · 806484427355480910242618688187_<30> · 621517573913879824531937479098749_<33> · 3661054312333149079554418503387457027608632989634573487936702648419063794797276451_<82> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=4151330572 for P30 / Jul 2, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P33 x P82 / 25.17 hours on Core 2 Quad Q6600 / Jul 17, 2007)

5·10¹⁸⁰-3 =

4(9)₁₇₉7_<181>

= 17 · 2792672428288371043_<19> · 105317631985606073391499578163669849676817552257631637698762206369454508556540779142062121449428437936539368598624910487123901432376521799607434565201577649085487_<162>

5·10¹⁸¹-3 =

4(9)₁₈₀7_<182>

= 23 · 540217 · 1645561 · 436106813 · 17352918959_<11> · 26419556438538889559_<20> · [12231198197520358096083583857386171377073575513702408928285732464763068292309388974950960774890803437173299991500853603513654920399_<131>] SUBMIT/RESERVE

5·10¹⁸²-3 =

4(9)₁₈₁7_<183>

= 7² · 29770834642130994832881614532449420836505709773_<47> · 342754301493868147025468004954466202887529212100972680571593317530253611454746160580734860582053102922819500742588146493363342762650561_<135> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs / 526.30 hours on Cygwin on AMD 64 3400+ / Sep 12, 2007)

5·10¹⁸³-3 =

4(9)₁₈₂7_<184>

= 19 · 67 · 97 · 9533 · 31319069530997_<14> · [135622399048482984628301962774284109102151415221737005182336692367199033852561311657661161978397155019181427276396809196761426838738098548742194102321936855582437_<162>] SUBMIT/RESERVE

5·10¹⁸⁴-3 =

4(9)₁₈₃7_<185>

= 1009 · 442151 · 112074865543951919219198440606459602091325060440461977168426684004259840115476203223372207225198050240736923263274266434757469621115831751768321151172767419757685667834140827883_<177>

5·10¹⁸⁵-3 =

4(9)₁₈₄7_<186>

= 47² · 32752877 · [6910744458915338936949279371391233681674502846492402099148674853679681435022358532581485105909921679404798972101309318970544672975352771989061366888660781360870591558552100529_<175>] SUBMIT/RESERVE

5·10¹⁸⁶-3 =

4(9)₁₈₅7_<187>

= 67317521395141_<14> · 46615341719911308568542113_<26> · 440247862165415629914964024062743623_<36> · 3619226468217882437161494597428834606600520897650913186570957157465554197450093428407182748230547242163506739583_<112> (matsui / GMP-ECM 6.2.1 for P36 / Oct 2, 2008)

5·10¹⁸⁷-3 =

4(9)₁₈₆7_<188>

= 35291108798039_<14> · 703813207854313_<15> · 11382308173113211_<17> · [176854839468032025843574291297273975571597599222231280575618665497763114064658384899904033034687730030372117081609282380305860313533161720905161_<144>] SUBMIT/RESERVE

5·10¹⁸⁸-3 =

4(9)₁₈₇7_<189>

= 7 · 349 · 31450423 · 273604616919899_<15> · [23784642322782389727483886478507778857648845827861779623490460057489121081990019835565636976320832666186977754859293457650508659521270794766613630185076514718043827_<164>] SUBMIT/RESERVE

5·10¹⁸⁹-3 =

4(9)₁₈₈7_<190>

= 35419 · 169284407 · 1070584910443_<13> · 11963613435479_<14> · [65107836281806380527460443945710601044823073983360558450448365323448270426401973990973493292298039170083053456584781886876104761760598392817664408608997_<152>] SUBMIT/RESERVE

5·10¹⁹⁰-3 =

4(9)₁₈₉7_<191>

= 4287851 · 346355837 · [33667262706125150175136788624252914418508872392655887784222850178302634970322282528496106049033627482680490629367185535610518215294270322703188810543614226271946438204511547331_<176>] SUBMIT/RESERVE

5·10¹⁹¹-3 =

4(9)₁₉₀7_<192>

= 8972041493_<10> · 79909084566274171564735976999_<29> · [697401015612336356682145624099454530373734274117674755250632681021593414779235290246504588485231235964678255558006472624317055265367800569798120069645071_<153>] SUBMIT/RESERVE

5·10¹⁹²-3 =

4(9)₁₉₁7_<193>

= definitely prime number

5·10¹⁹³-3 =

4(9)₁₉₂7_<194>

= 139 · 124367 · 416128249 · 5670353807_<10> · 630601422409414751_<18> · 1628951248743679743054506189_<28> · [1193300041763731671870987439029906012365042862204137739005604691718275603021397760465734919821660412096935234987760359924597_<124>] SUBMIT/RESERVE

5·10¹⁹⁴-3 =

4(9)₁₉₃7_<195>

= 7 · 1529449 · 9195382457_<10> · 5755564147069739_<16> · 25044074318110485734983_<23> · [35235000722141644817611171113354001904237537131048486458567401408820578016062269296584696979228063000241126565493279799717399262853944185031_<140>] SUBMIT/RESERVE

5·10¹⁹⁵-3 =

4(9)₁₉₄7_<196>

= 43 · 174775624948367_<15> · 183308509550493983_<18> · 6820156072606917116399_<22> · [532161860158434752551024901141919991498453509131338891506291015306253538811865549424248604830835271338238311297285231165006529147307826174761_<141>] SUBMIT/RESERVE

5·10¹⁹⁶-3 =

4(9)₁₉₅7_<197>

= 17 · 33769 · 23729845067997327059_<20> · 6796853979753144094988869_<25> · 540007809177269837028997988781185208780768340999802777663850897684487991061811768086894001086968346470377131425875996011266656293332356882846545659_<147>

5·10¹⁹⁷-3 =

4(9)₁₉₆7_<198>

= 269 · 2466967609_<10> · 500946622366070831_<18> · 975512482547443559_<18> · [1541806929998682523160478981410652271079552405474343342292267678979208342444858008054816206985338400888373746631927648636068155770020170950112204577233_<151>] SUBMIT/RESERVE

5·10¹⁹⁸-3 =

4(9)₁₉₇7_<199>

= 1303 · 111286577 · 34481234352518130788670405006822101492981828543399764354103795658712890459962966380132721844795895517794739849826714795716374196672183245124122226224183167019216289998818348856442283873787_<188>

5·10¹⁹⁹-3 =

4(9)₁₉₈7_<200>

= 219619 · 3639959 · 4744042763965047965693_<22> · 8093176768651631185069802113901_<31> · 1629055878393401770330660883294105510464026569183051106513390639156296434054875594593755637398223572917720059576936252313923440973374849_<136> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=2930831738 for P31 / Jul 14, 2008)

5·10²⁰⁰-3 =

4(9)₁₉₉7_<201>

= 7 · 181 · 1887172681_<10> · [209113344682883416010178984753917410669646190574378842796991551638896432659850090587149802402329366667569233501684706143345454668990588291297656015602876150588326812914417313832713538858711_<189>] SUBMIT/RESERVE