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Factorizations of 688...881

Table of contents

  1. About 688...881
  2. Prime numbers of the form 688...881
  3. Factorizations of 688...881
  4. References

1. About 688...881

First ten terms

61, 681, 6881, 68881, 688881, 6888881, 68888881, 688888881, 6888888881, 68888888881

General term

(62·10n-71)/9

2. Prime numbers of the form 688...881

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

14.56%

Results

  1. (62·101-71)/9 = 61 is prime.
  2. (62·104-71)/9 = 68881 is prime.
  3. (62·1010-71)/9 = 68888888881<11> is prime.
  4. (62·1013-71)/9 = 6(8)121<14> is prime.
  5. (62·10178-71)/9 = 6(8)1771<179> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  6. (62·10304-71)/9 = 6(8)3031<305> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  7. (62·10331-71)/9 = 6(8)3301<332> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  8. (62·10502-71)/9 = 6(8)5011<503> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  9. (62·10744-71)/9 = 6(8)7431<745> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  10. (62·101027-71)/9 = 6(8)10261<1028> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 15, 2006)
  11. (62·101770-71)/9 = 6(8)17691<1771> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  12. (62·105305-71)/9 = 6(8)53041<5306> is PRP. (Makoto Kamada / PFGW / Dec 21, 2004)

3. Factorizations of 688...881

Last update

Nov 11, 2009

Completed up to

Range

n≤200

Terms which have not been factored yet

n=151, 152, 154, 155, 157, 158, 159, 162, 164, 168, 169, 170, 171, 172, 173, 175, 177, 179, 181, 182, 183, 185, 187, 190, 191, 192, 193, 194, 196, 197, 198 (31/200)

Results

(62·101-71)/9 =
61
= definitely prime number
(62·102-71)/9 =
681
= 3 · 227
(62·103-71)/9 =
6881
= 7 · 983
(62·104-71)/9 =
68881
= definitely prime number
(62·105-71)/9 =
688881
= 3 · 229627
(62·106-71)/9 =
6888881
= 593 · 11617
(62·107-71)/9 =
68888881
= 43 · 1602067
(62·108-71)/9 =
688888881
= 34 · 29 · 293269
(62·109-71)/9 =
6888888881<10>
= 72 · 19 · 97 · 76283
(62·1010-71)/9 =
68888888881<11>
= definitely prime number
(62·1011-71)/9 =
688888888881<12>
= 3 · 35419 · 6483233
(62·1012-71)/9 =
6888888888881<13>
= 17851 · 385910531
(62·1013-71)/9 =
68888888888881<14>
= definitely prime number
(62·1014-71)/9 =
688888888888881<15>
= 3 · 17 · 7589 · 33377 · 53327
(62·1015-71)/9 =
6888888888888881<16>
= 7 · 173 · 5688595283971<13>
(62·1016-71)/9 =
68888888888888881<17>
= 127 · 191 · 3701 · 767349133
(62·1017-71)/9 =
688888888888888881<18>
= 32 · 97849 · 782258478641<12>
(62·1018-71)/9 =
6888888888888888881<19>
= 92431 · 74530069877951<14>
(62·1019-71)/9 =
68888888888888888881<20>
= 20809 · 6869969 · 481884761
(62·1020-71)/9 =
688888888888888888881<21>
= 3 · 23 · 9983896940418679549<19>
(62·1021-71)/9 =
6888888888888888888881<22>
= 7 · 984126984126984126983<21>
(62·1022-71)/9 =
68888888888888888888881<23>
= 1895523263<10> · 36342940355087<14>
(62·1023-71)/9 =
688888888888888888888881<24>
= 3 · 4007 · 634010071 · 90388343291<11>
(62·1024-71)/9 =
6888888888888888888888881<25>
= 349 · 19738936644380770455269<23>
(62·1025-71)/9 =
68888888888888888888888881<26>
= 317 · 217315106905012267788293<24>
(62·1026-71)/9 =
688888888888888888888888881<27>
= 32 · 67 · 5227 · 666593183 · 327882697847<12>
(62·1027-71)/9 =
6888888888888888888888888881<28>
= 7 · 19 · 47 · 1102045894879041575570131<25>
(62·1028-71)/9 =
68888888888888888888888888881<29>
= 43 · 1973 · 63863 · 12714647470448254033<20>
(62·1029-71)/9 =
688888888888888888888888888881<30>
= 3 · 13829 · 29131 · 570009055916825870173<21>
(62·1030-71)/9 =
6888888888888888888888888888881<31>
= 172 · 307 · 2600417 · 29858636058597409291<20>
(62·1031-71)/9 =
68888888888888888888888888888881<32>
= 7793 · 39163 · 591709 · 4537387 · 84072614573<11>
(62·1032-71)/9 =
688888888888888888888888888888881<33>
= 3 · 83 · 1103 · 14307689771<11> · 175309239440479013<18>
(62·1033-71)/9 =
6888888888888888888888888888888881<34>
= 7 · 984126984126984126984126984126983<33>
(62·1034-71)/9 =
68888888888888888888888888888888881<35>
= 233 · 277961 · 1147711 · 2561491 · 361812873504037<15>
(62·1035-71)/9 =
688888888888888888888888888888888881<36>
= 33 · 17321 · 2416443209<10> · 609587231106045419027<21>
(62·1036-71)/9 =
6888888888888888888888888888888888881<37>
= 29 · 237547892720306513409961685823754789<36>
(62·1037-71)/9 =
68888888888888888888888888888888888881<38>
= 1031 · 13841 · 41814037 · 115451863421911634827003<24>
(62·1038-71)/9 =
688888888888888888888888888888888888881<39>
= 3 · 2521 · 27287233 · 1533986497<10> · 2176075922556340787<19>
(62·1039-71)/9 =
6888888888888888888888888888888888888881<40>
= 7 · 19463 · 66347 · 762114223738109747453234672003<30>
(62·1040-71)/9 =
68888888888888888888888888888888888888881<41>
= 5236411912889897<16> · 13155742908481419851651273<26>
(62·1041-71)/9 =
688888888888888888888888888888888888888881<42>
= 3 · 331 · 693745104621237551751146917310059304017<39>
(62·1042-71)/9 =
6888888888888888888888888888888888888888881<43>
= 23 · 10321 · 29020144192671290230930137747390878407<38>
(62·1043-71)/9 =
68888888888888888888888888888888888888888881<44>
= 4327 · 73363 · 172003571 · 1261675701068600541497028911<28>
(62·1044-71)/9 =
688888888888888888888888888888888888888888881<45>
= 32 · 46144650435190129<17> · 1658766707617552899578934521<28>
(62·1045-71)/9 =
6888888888888888888888888888888888888888888881<46>
= 7 · 19 · 223 · 1363717 · 170321087584759085691434641611037127<36>
(62·1046-71)/9 =
68888888888888888888888888888888888888888888881<47>
= 17 · 121369 · 3045668615261<13> · 10962505820804145601621158877<29>
(62·1047-71)/9 =
688888888888888888888888888888888888888888888881<48>
= 3 · 16028557 · 1551423127<10> · 3462944083<10> · 2666599290746728472171<22>
(62·1048-71)/9 =
6888888888888888888888888888888888888888888888881<49>
= 2213 · 8285107 · 375724611913980026711331536884991514991<39>
(62·1049-71)/9 =
68888888888888888888888888888888888888888888888881<50>
= 43 · 445907495861076406397<21> · 3592824068518597701536636111<28>
(62·1050-71)/9 =
688888888888888888888888888888888888888888888888881<51>
= 3 · 59 · 608793719089<12> · 6393015398820502273807192180932183377<37>
(62·1051-71)/9 =
6888888888888888888888888888888888888888888888888881<52>
= 72 · 140589569160997732426303854875283446712018140589569<51>
(62·1052-71)/9 =
68888888888888888888888888888888888888888888888888881<53>
= 163 · 359 · 2141 · 5504425129493<13> · 99893790045890017736105113800461<32>
(62·1053-71)/9 =
688888888888888888888888888888888888888888888888888881<54>
= 32 · 50261 · 69341 · 792637 · 2010275429<10> · 13783373962728401862066205433<29>
(62·1054-71)/9 =
6888888888888888888888888888888888888888888888888888881<55>
= 653 · 1783 · 1300073 · 212280096080449591<18> · 21439153865754716896456733<26>
(62·1055-71)/9 =
68888888888888888888888888888888888888888888888888888881<56>
= 52973 · 1300452851242876350006397389026275440108902438768597<52>
(62·1056-71)/9 =
688888888888888888888888888888888888888888888888888888881<57>
= 3 · 617 · 4723 · 1397611900127<13> · 56381707720633894107901763471518438511<38>
(62·1057-71)/9 =
6888888888888888888888888888888888888888888888888888888881<58>
= 7 · 389 · 2851 · 12979218521<11> · 68368456774845521703605385235283285922257<41>
(62·1058-71)/9 =
68888888888888888888888888888888888888888888888888888888881<59>
= 127 · 173 · 2751811 · 57823559 · 19704977120282285416388343979709845245439<41>
(62·1059-71)/9 =
688888888888888888888888888888888888888888888888888888888881<60>
= 3 · 67 · 8539 · 39979 · 10039548503097177951767812658526518749629844812001<50>
(62·1060-71)/9 =
6888888888888888888888888888888888888888888888888888888888881<61>
= 397 · 855277 · 83898611 · 241822724174021825836043260325190188595812659<45>
(62·1061-71)/9 =
68888888888888888888888888888888888888888888888888888888888881<62>
= 61 · 3169 · 153038205542227<15> · 2328612589692913515585508545703664048384167<43>
(62·1062-71)/9 =
688888888888888888888888888888888888888888888888888888888888881<63>
= 33 · 17 · 4219 · 126397 · 83307317106314593<17> · 33783687764511210855510781698042941<35>
(62·1063-71)/9 =
6888888888888888888888888888888888888888888888888888888888888881<64>
= 7 · 19 · 34116044509434362928275059091<29> · 1518234537564616508052969372207727<34>
(62·1064-71)/9 =
68888888888888888888888888888888888888888888888888888888888888881<65>
= 23 · 29 · 179 · 401 · 50231 · 617411147 · 13605388543<11> · 3410112473786605546128641347485067<34>
(62·1065-71)/9 =
688888888888888888888888888888888888888888888888888888888888888881<66>
= 3 · 113 · 1367 · 32309 · 82389523 · 26212331458787<14> · 276751647848857<15> · 76982071978690869449<20>
(62·1066-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888881<67>
= 4499119 · 10692966299<11> · 4178717220625785839925841<25> · 34267349882446518529008061<26>
(62·1067-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888881<68>
= 252173 · 56307634727<11> · 774465764743831267<18> · 6264423149624373171214696245308833<34>
(62·1068-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888881<69>
= 3 · 4231 · 454595627 · 82131030223999<14> · 1453624974156427936214147368724377220382329<43>
(62·1069-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888881<70>
= 7 · 677 · 6827 · 8999757121<10> · 23659293908657030000984220958082303106114291251284337<53>
(62·1070-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888881<71>
= 43 · 5373793 · 20777280481<11> · 56565138109<11> · 253665986076559804488220048970700442405711<42>
(62·1071-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888881<72>
= 32 · 783359 · 3567828217<10> · 9558278309<10> · 5814660929081<13> · 492762705274327376882915798075707<33>
(62·1072-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888881<73>
= 821 · 2013229 · 2052014787390721<16> · 2031104924745414428272878778061859781138241135329<49>
(62·1073-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888881<74>
= 47 · 83 · 2039 · 47353 · 28950821 · 464121389 · 6522580313383<13> · 1045272528435209<16> · 1996489664000436901<19>
(62·1074-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888881<75>
= 3 · 1514603 · 444935540388996461840921<24> · 340746979742419526431179543186131564991128729<45>
(62·1075-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888881<76>
= 7 · 5741 · 171420829842707564358844623606860151016221387236889762582150667850023363<72>
(62·1076-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888881<77>
= 765649 · 31999633 · 96886267242075225275461<23> · 29020991024420851054556324453043296950813<41>
(62·1077-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888881<78>
= 3 · 181 · 3127973491<10> · 3361947721362169721859826627313<31> · 120641111772648013027988298563955749<36>
(62·1078-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888881<79>
= 17 · 1019 · 18307 · 296591 · 9795017936155429<16> · 7477315215241404950355307915783899526205912075539<49>
(62·1079-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888881<80>
= 25243391 · 92269245127<11> · 7484087736276028429<19> · 13422420127965451333<20> · 294425092277461868736569<24>
(62·1080-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888881<81>
= 32 · 2955803 · 11568547 · 2238475625098195539635839901873585925436031509417006980066184443449<67>
(62·1081-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888881<82>
= 7 · 19 · 158909 · 663186233540291213198617<24> · 1885848491366747322311123<25> · 260619401548634417285171603<27>
(62·1082-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888881<83>
= 1900328992943<13> · 251170960613659<15> · 144328121511551713501610121063803402625385548456099841613<57>
(62·1083-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888881<84>
= 3 · 3187 · 6037 · 11719 · 2887158317<10> · 352747165552557856259719184438176390684173041758765984089547471<63>
(62·1084-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888881<85>
= 1949 · 19083576519607<14> · 185215603179971585695540959430703202533181511020736130424296314536067<69>
(62·1085-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888881<86>
= 10534564233980273329810986679<29> · 6539320218550758888666204531239644875703382286973858519639<58>
(62·1086-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888881<87>
= 3 · 23 · 557 · 1302571 · 24860413 · 8623788479<10> · 64185518556410963112206901190389625263792232045993273456721<59>
(62·1087-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<88>
= 7 · 167 · 3128517781<10> · 660219282209778133<18> · 181003053918434525821<21> · 15762385134118119794108860082441004253<38>
(62·1088-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<89>
= 673 · 14826241187<11> · 16279035547<11> · 38606487874687<14> · 390953790054200855437<21> · 28098857462870982303761899259867<32>
(62·1089-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<90>
= 34 · 587 · 317587 · 45620846886552686834799192559023841905206506656619397420924467070614999971467729<80>
(62·1090-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<91>
= 2663 · 2586890307506154295489631576751366462218884299244794926357074310510284975174197855384487<88>
(62·1091-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<92>
= 43 · 109 · 1712251877456291<16> · 5241527997348712813006706246891<31> · 1637678568110308621336803873220931098171423<43> (Makoto Kamada / msieve 0.83)
(62·1092-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<93>
= 3 · 29 · 67 · 85580569 · 33298439547350167<17> · 3278394473272313572560853321<28> · 12650126381425576389371311724051053483<38>
(62·1093-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<94>
= 72 · 263 · 36527 · 472691 · 8027054526761<13> · 3857001434357061438958185766077435613711532208329305357007314831019<67>
(62·1094-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<95>
= 17 · 11437 · 72274583032283<14> · 4902330004047835189736138429840920639001090296880864480199099400798070300383<76>
(62·1095-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<96>
= 3 · 193 · 2204071 · 1220724053361079<16> · 6420565285984142695622392545699199<34> · 68873835267467764494639813374086536229<38> (Makoto Kamada / msieve 0.83)
(62·1096-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<97>
= 102112229749672502534737521469958083213092157<45> · 67463896398863850526741114995329043489884769104176133<53> (Makoto Kamada / GGNFS-0.71.1 / 0.41 hours)
(62·1097-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<98>
= 9137 · 110567 · 1054183778859259<16> · 377851885726490131531<21> · 423619189531087449721663<24> · 404116404948965341960740130657<30>
(62·1098-71)/9 =
688888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<99>
= 32 · 383106428888222209<18> · 199796203103853389288017626347431728739593996837798410007714335304244688715169001<81>
(62·1099-71)/9 =
6888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<100>
= 7 · 19 · 269 · 3371 · 12601 · 3821563186479637<16> · 85755854038699961<17> · 203727251235738341<18> · 67893398483738943886429513690234074539<38>
(62·10100-71)/9 =
68888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<101>
= 127 · 53359 · 948331 · 10928521 · 616899146851544367079531587121288967177<39> · 1590018835383193859827983238949671374974771<43> (Makoto Kamada / GGNFS-0.71.1 / 0.58 hours)
(62·10101-71)/9 =
6(8)1001<102>
= 3 · 173 · 70562047 · 132384710640338740098541987<27> · 142093044809495243224496060941974959547704372966057527241005171891<66>
(62·10102-71)/9 =
6(8)1011<103>
= 8537 · 11192479 · 25156519 · 49458358501<11> · 23758043170328793463<20> · 2439027511411027154456295323192850141473858432362018651<55>
(62·10103-71)/9 =
6(8)1021<104>
= 2687 · 2817361 · 10930061 · 26495281 · 45072579624068933<17> · 197248790850526182767<21> · 3534444246242254332606491219182923845776033<43>
(62·10104-71)/9 =
6(8)1031<105>
= 3 · 317 · 54815951 · 8772450377<10> · 40577156346865000464851<23> · 227587966246723223057514349<27> · 163121004268353523571146177075771447<36>
(62·10105-71)/9 =
6(8)1041<106>
= 7 · 97 · 1120649 · 61133689 · 7749487021<10> · 19109804290458178532873354128001268768617960446885435133820045670525644122240419<80>
(62·10106-71)/9 =
6(8)1051<107>
= 23857 · 130153171 · 2602680286221345863463467<25> · 8524281308899631855787903467581077202244862970767788454520371925441169<70>
(62·10107-71)/9 =
6(8)1061<108>
= 32 · 2129 · 6367 · 97492859 · 1067028301848277<16> · 54280946785661205062472817509527996822708134921089205473627890725260777612241<77>
(62·10108-71)/9 =
6(8)1071<109>
= 23 · 59 · 92179 · 50970031012402836704852021263665414998443<41> · 1080494205493017112862343898915962169212827499405439214582789<61> (Serge Batalov / Msieve 1.43 snfs / 0.68 hours / Oct 20, 2009)
(62·10109-71)/9 =
6(8)1081<110>
= 449061934552096085392042792527494669801996839<45> · 153406208784095962906433077939688161815955308844860423263872277479<66> (Dmitry Domanov / GGNFS/msieve snfs / 0.65 hours / Oct 20, 2009)
(62·10110-71)/9 =
6(8)1091<111>
= 3 · 17 · 3127634240671<13> · 4318799524791377204951192266627235712834667910177836350053196426126349434848132475669476779613461<97>
(62·10111-71)/9 =
6(8)1101<112>
= 7 · 191 · 1697 · 134417 · 278606986002487<15> · 3029506564554522763<19> · 26761954759899624038726797894516639165449500774918311006907261118877<68>
(62·10112-71)/9 =
6(8)1111<113>
= 43 · 283 · 1313462617<10> · 3816895807268228595866518144384814798429514241609<49> · 1129188034433739419733408412782832185204350656820233<52> (Lionel Debroux / GGNFS + Msieve snfs / 4.65 hours on Core 2 Duo T7200, 2 GB RAM / Oct 20, 2009)
(62·10113-71)/9 =
6(8)1121<114>
= 3 · 229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627<114>
(62·10114-71)/9 =
6(8)1131<115>
= 83 · 594889 · 1028329 · 225320402140251661253729<24> · 602147029067469541782547040377699289054363456553714599403456622408214015006843<78>
(62·10115-71)/9 =
6(8)1141<116>
= 227 · 25183 · 4045075167433<13> · 41329057843508196145612681<26> · 72083149873551613724264855089742519251455928662054402712159612170219317<71>
(62·10116-71)/9 =
6(8)1151<117>
= 33 · 691 · 12959 · 8795491 · 65243802573198517<17> · 8300127441206935557039976771<28> · 598207377286375518110441471977785353960374924906395205051<57>
(62·10117-71)/9 =
6(8)1161<118>
= 7 · 19 · 137650277 · 60874828950569996693918573606471<32> · 6181340899496695595754737044042673115580750936683073986286488159140340843071<76> (Serge Batalov / GMP-ECM B1=2000000, sigma=2871096336 for P32 / Oct 19, 2009)
(62·10118-71)/9 =
6(8)1171<119>
= 3038209372850070299895662480934267163<37> · 22674174302959870778545300248598034085760547885859190102759989856304629514396173987<83> (Dmitry Domanov / GGNFS/msieve snfs / 1.91 hours / Oct 20, 2009)
(62·10119-71)/9 =
6(8)1181<120>
= 3 · 47 · 811 · 233939 · 6639768461<10> · 101547434129<12> · 5640701099669<13> · 51982005697800281737052855475926868719<38> · 130256251243736683298513245842905274731<39> (Makoto Kamada / Msieve 1.42 for P38 x P39 / Oct 19, 2009)
(62·10120-71)/9 =
6(8)1191<121>
= 29 · 577 · 56672831 · 21679127389566080283674645480303460667<38> · 335087836893671128683748066753771626945672527368526518443982836779830241<72> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 0.99 hours on Core 2 Quad Q6700 / Oct 19, 2009)
(62·10121-71)/9 =
6(8)1201<122>
= 61 · 114968631523579456592837576959<30> · 15339977635830331306565193967618163<35> · 640346819253660171166999735090684748846178296261435303513<57> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2032205371 / Oct 16, 2009) (Sinkiti Sibata / Msieve 1.42 for P35 x P57 / 1.13 hours / Oct 19, 2009)
(62·10122-71)/9 =
6(8)1211<123>
= 3 · 149 · 26919248548865466411677<23> · 281073621334314122355541<24> · 203684806789562238789771632441717086841562742056879128988294281769169179439<75>
(62·10123-71)/9 =
6(8)1221<124>
= 7 · 984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126983<123>
(62·10124-71)/9 =
6(8)1231<125>
= 1634557 · 8181287 · 1359146919383186907593<22> · 3790190835121114501079622702074267635973760588631160833618317358169758765442293414648817563<91>
(62·10125-71)/9 =
6(8)1241<126>
= 32 · 67 · 131 · 34119447731<11> · 234236700833<12> · 1091198189806240118734199430413238632786133828564781360146024747265384864752077516813307341270054779<100>
(62·10126-71)/9 =
6(8)1251<127>
= 17 · 1499 · 15467 · 37151041201<11> · 470458750108815887149985899676654221637757999545755562794573184242193338527576010910936253670509621447370921<108>
(62·10127-71)/9 =
6(8)1261<128>
= 683 · 100862209207743614771433219456645518138929559134537172604522531316089149178461037904668944200422970554742150642589881242882707<126>
(62·10128-71)/9 =
6(8)1271<129>
= 3 · 178645109 · 5124546730174813<16> · 94983635564751723089<20> · 6575332605555888286367<22> · 3327036301622454277550699<25> · 120713900516224021402710824798205632063<39>
(62·10129-71)/9 =
6(8)1281<130>
= 7 · 74507 · 863695087070633<15> · 446537572767580550602547<24> · 27413652247099964745959987129<29> · 1249305658838193522558789938622451015178573054392034321111<58> (Erik Branger / Msieve for P29 x P58 / 0.87 hours / Oct 26, 2009)
(62·10130-71)/9 =
6(8)1291<131>
= 23 · 10811319991<11> · 3703980067164532413967<22> · 74795243687964233340866459607928093372782438505963865654668228265776153827672089001173060325813551<98>
(62·10131-71)/9 =
6(8)1301<132>
= 3 · 229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627<132>
(62·10132-71)/9 =
6(8)1311<133>
= 5717 · 14196147689937141374294318249731425936067<41> · 84880998342609810093756094165793232255873270007284083264233059727258303257959873758507279<89> (Dmitry Domanov / Msieve 1.40 snfs / 3.18 hours / Oct 27, 2009)
(62·10133-71)/9 =
6(8)1321<134>
= 43 · 163 · 2767 · 3169 · 660658928585086985809163336350428170481943780205911441<54> · 1696619339049209242025102064325212037235881003135077451714444644950863<70> (Erik Branger / GGNFS, Msieve snfs / 7.68 hours / Oct 26, 2009)
(62·10134-71)/9 =
6(8)1331<135>
= 32 · 3915907 · 1627590898933973537541526771<28> · 12009613995018714885432482233164864702931059725417397159558003497109744627254427122535516681360769297<101>
(62·10135-71)/9 =
6(8)1341<136>
= 72 · 19 · 3908604569<10> · 4071319992583851580553<22> · 6092834482135211337409<22> · 3023609198798573489557559745506843<34> · 25240472910189074574471536572739850312627201889<47> (Erik Branger / YAFU, Msieve 1.38 for P34 x P47 / Oct 26, 2009)
(62·10136-71)/9 =
6(8)1351<137>
= 797 · 91957 · 141665756784889<15> · 87940173824683258876381753531354451770847<41> · 75449064368628461623561903771559610802465731814491611535253595307663468583<74> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 8.91 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 26, 2009)
(62·10137-71)/9 =
6(8)1361<138>
= 3 · 2239 · 18401 · 5573556479908322691009293255481644712971563544935931172683214359882076957379120574467041719013261911766927769538847703497812931493<130>
(62·10138-71)/9 =
6(8)1371<139>
= 178973 · 371864911123<12> · 586223530914985362890505263147233484304329<42> · 176568494706771364851457868738726420430749628421559284794116630853036260388793391<81> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 14.59 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 26, 2009)
(62·10139-71)/9 =
6(8)1381<140>
= 9009157 · 2781229361<10> · 264098246919416741794009<24> · 10410286956060805353623271852286832142316373429085554766233552123741488204863131900111103883401092117<101>
(62·10140-71)/9 =
6(8)1391<141>
= 3 · 349 · 1031 · 1037280187667762145971<22> · 615244514538567419757815399867917816048738107486096046099071473160474088488380077206894709558567013080309031998123<114>
(62·10141-71)/9 =
6(8)1401<142>
= 7 · 965308026157<12> · 39824757917563793<17> · 67396829659826934567187683042527026494165158749<47> · 379832927230764651413352296349336303801716583716324523571650614767<66> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 15.56 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2009)
(62·10142-71)/9 =
6(8)1411<143>
= 17 · 127 · 88605204287423670249671527649293<32> · 282298075240783523797463502563785239997<39> · 1275643702644799867268139877864205097833015033358005502736075772881079<70> (Dmitry Domanov / GGNFS/msieve snfs / 7.72 hours / Oct 28, 2009)
(62·10143-71)/9 =
6(8)1421<144>
= 33 · 213480877273187<15> · 103755478159889828751485057885748821715212892879557<51> · 1151901651383832725319629282005586242558015694434569307514321563885225997402317<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 21.93 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 27, 2009)
(62·10144-71)/9 =
6(8)1431<145>
= 173 · 617 · 1283 · 92610038086816262454859531913<29> · 45060620799576548736690063731376301<35> · 12054134222394110709717782635167614241122684394866782704597181919381457779<74> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4831068078 for P35 / Oct 26, 2009)
(62·10145-71)/9 =
6(8)1441<146>
= 605531 · 11158361 · 76730252891<11> · 293205745222127<15> · 1468288720442890657611407<25> · 308646831336422208434240484855551223396571217166653006657707335087065286518623523009<84>
(62·10146-71)/9 =
6(8)1451<147>
= 3 · 107519981503590583<18> · 2135692607257017134631732681941655830747194773391008021877338435678704336060875162804442672871384054729799938221210913973711011869<130>
(62·10147-71)/9 =
6(8)1461<148>
= 7 · 2053 · 315421 · 16350167 · 9037828840361<13> · 174250391013961<15> · 2209170562589056097<19> · 26716666685301565059869896031309229024045849072467647597918428335867807698698224724529<86>
(62·10148-71)/9 =
6(8)1471<149>
= 29 · 311 · 4793 · 10487 · 151960983663406700983960425928863273447579446358805476628074992655460322189667992236615661699812285958723239222250856760521672243580072189<138>
(62·10149-71)/9 =
6(8)1481<150>
= 3 · 2417 · 74029477891<11> · 3497744479903<13> · 382748316025440940507<21> · 43565025495414996045361762082014639<35> · 22004284299797228251633148946891172189744868497880149030614978474539<68> (juno1369 / GGNFS, Msieve v1.41 gnfs for P35 x P68 / 8.42 hours / Oct 29, 2009)
(62·10150-71)/9 =
6(8)1491<151>
= 985483 · 41851752012515441<17> · 487000537391850390878280007869998072687387<42> · 342970652274908800371221025897560617960050601182101051487751425298682261487633167922521<87> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 28.87 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 5, 2009)
(62·10151-71)/9 =
6(8)1501<152>
= 331 · 127037 · 11400881 · 134503558337<12> · [1068362831630975289536719380978717933839318138065193388152189421002793725428131445533649250405126709847471149909608867206808159<127>] SUBMITTED
(62·10152-71)/9 =
6(8)1511<153>
= 32 · 23 · 443 · 1061 · 34279360770581<14> · [206550861030187082845434344910136822313692781358486124359562932596625872977417209449469207777000587340003595836995580001075491383141<132>] RESERVED
(62·10153-71)/9 =
6(8)1521<154>
= 7 · 19 · 4261 · 12155868824058895576577366125161923034920478070714610197558356503007499190752442398337233994789053522486494731705270372991071122223927965105598228537<149>
(62·10154-71)/9 =
6(8)1531<155>
= 43 · 374993 · 2810836267<10> · 11225367031078217<17> · [135400873284210690693774015755123458723863999599882657194440727495833755486367006735978429661363061336140811098682184076321<123>] SUBMITTED
(62·10155-71)/9 =
6(8)1541<156>
= 3 · 83 · 1054865761<10> · 5865205252879032365590891631<28> · [447166666318541071021133120076586888737388050135431182917568426080461179199315021134343779030522598595547672164599159<117>] RESERVED
(62·10156-71)/9 =
6(8)1551<157>
= 1303 · 8053 · 18973967595228810637061<23> · 10210221731159895047770048507<29> · 322522895687000857114214977879<30> · 20571281757395045972607430805420023<35> · 510777589462555240693085743192369501<36> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=451400367 for P30 / Nov 8, 2009) (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2744970647 for P35 / Nov 8, 2009)
(62·10157-71)/9 =
6(8)1561<158>
= 99195219782129<14> · 862777452673465967877176411389<30> · [804932845164033586036914469028264065136979055479450569674957239025392866722070247914821612289988269570817453495701<114>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3525119621 for P30 / Nov 8, 2009) SUBMITTED
(62·10158-71)/9 =
6(8)1571<159>
= 3 · 17 · 67 · 337 · 3559 · [168091716614481103463083594268062800883645758833805202718252499935061086452976721473033496538452942958137049236729866564856854058353995213907038763471<150>] RESERVED
(62·10159-71)/9 =
6(8)1581<160>
= 7 · 367 · 397 · 1427 · 1295003 · 27044153094400533691<20> · [135153231980572748044136445861801829429050962561946223951226838695412239454479728772981461313692290146394175213660440191042327<126>] SUBMIT/RESERVE
(62·10160-71)/9 =
6(8)1591<161>
= 787 · 41813 · 250654991 · 11125690237<11> · 750688561706608052987398752043016693381268040372695688679081862548675347189917526416628194724949888930088786941597313760719802963410853<135>
(62·10161-71)/9 =
6(8)1601<162>
= 32 · 152802742667<12> · 13264350375049<14> · 465450575649853825011937381478302423001<39> · 81136442959537231114995473824037530327273434950467897216573513644233494117983056904211621814598523<98> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=200691458 for P39 / Nov 8, 2009)
(62·10162-71)/9 =
6(8)1611<163>
= 291727 · 40998522161<11> · 538331911170192824177<21> · [1069927196854118265491844218314408607974802302696835461705048222248058295906490484465975989906304815245214369775644395405176799<127>] SUBMIT/RESERVE
(62·10163-71)/9 =
6(8)1621<164>
= 8689 · 31941741436917845769931<23> · 248210867829854234040741190244175779679392985113628304415951608652461933740068520261765917033883983821439913182705827778791392303584100259<138>
(62·10164-71)/9 =
6(8)1631<165>
= 3 · 8819 · 51539 · 85667 · 791251537184711<15> · [7453229079683634188103196101922610125639868950413398574507032854609890070168290130051336575627502110007583354854997020130458699173995831<136>] SUBMIT/RESERVE
(62·10165-71)/9 =
6(8)1641<166>
= 7 · 47 · 239994329844266311<18> · 75741602498828697014057<23> · 160041489629507787149340268801<30> · 7197558883172165970371112259093322401093260263200351744426043019054109005320631351076764751607<94> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2159424190 for P30 / Nov 8, 2009)
(62·10166-71)/9 =
6(8)1651<167>
= 59 · 9209 · 267379239487<12> · 3063707296759717<16> · 17264371000478116853927<23> · 158481086692624522236287<24> · 56569395802918637478652424274397024316570010988087389426023764993258812352883245922080681<89>
(62·10167-71)/9 =
6(8)1661<168>
= 3 · 229629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629627<168>
(62·10168-71)/9 =
6(8)1671<169>
= 12579647 · [547621796453341567445325682738862933823889405552388623376227400410272950337071373218094982227155411347304808226247436743565927477049943363982223737191424281531023<162>] SUBMIT/RESERVE
(62·10169-71)/9 =
6(8)1681<170>
= 3505219 · 1779396887<10> · 2788933419652123<16> · 49618119210892708709<20> · [79814675419467047847624984013461045496851923194054626061441496047366444723808966701457240684451974369636851225969938811<119>] SUBMIT/RESERVE
(62·10170-71)/9 =
6(8)1691<171>
= 35 · 5417 · [523340169675323979218668320421602840690440997658559198931643248460219267713735290659331800959552642070185150155157698853015608451741156964995042195989374168722676051<165>] SUBMIT/RESERVE
(62·10171-71)/9 =
6(8)1701<172>
= 7 · 19 · 4349 · 9319 · [1278023441412254406720971486817825141918529955238348059578277651238955634560825045060823107958631631273317276544058946303881944997837612886525084188543492188586647<163>] SUBMIT/RESERVE
(62·10172-71)/9 =
6(8)1711<173>
= 5554193 · 10943944553<11> · 184834333470370776132491<24> · [6131569898808353422195456851216100388129614969319717545922629434421685921112212090545779936464633725553718178565912568576916347802379<133>] SUBMIT/RESERVE
(62·10173-71)/9 =
6(8)1721<174>
= 3 · 947 · 25178066987998789<17> · [9630649152229381770566079573251488051161145076676168351901944763107618996036680300235135664689199476945589918830979639161008932547103804384236391451720069<154>] SUBMIT/RESERVE
(62·10174-71)/9 =
6(8)1731<175>
= 17 · 23 · 4801 · 48527 · 5268454478831<13> · 7894707066173<13> · 1818184793160695697170337600380753268534488474941877667946026832719483358459732888325275633514140757335726425990748084338700413886212113491<139>
(62·10175-71)/9 =
6(8)1741<176>
= 43 · 971 · 25714632124212041<17> · 1608018327600605321651111<25> · [39901588414379418683020886356713895092528159926242165642732081909167976272116931031734311622229689590723086591414392204910717947527<131>] SUBMIT/RESERVE
(62·10176-71)/9 =
6(8)1751<177>
= 3 · 29 · 761 · 4196683 · 3960194980697<13> · 368922158410959798059<21> · 1162488068575943005804283509607<31> · 1459819938581027960786666568658471981848024080849389665699909855743165516809559283744750604531667546441<103> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4128552375 for P31 / Nov 8, 2009)
(62·10177-71)/9 =
6(8)1761<178>
= 72 · 113 · 3583 · 12697 · 94559 · 10863779 · 1795658713<10> · [14825834187446705079439533604132230002748318169046279856770609295034464506720670200474706190673647166316978739211516210021639736789043637107897291<146>] SUBMIT/RESERVE
(62·10178-71)/9 =
6(8)1771<179>
= definitely prime number
(62·10179-71)/9 =
6(8)1781<180>
= 32 · 10555079869223<14> · [7251788790318064146171197633781451474510860112727706738246845498494651261115805645384490194578410021802197358785454384659195187447066143061746464046622783073969839983<166>] SUBMIT/RESERVE
(62·10180-71)/9 =
6(8)1791<181>
= 2267 · 3038768808508552663823947458707052884379748076263294613537224917904229770131843356369161397833651913934225359015831005244326814684115081115522227123462235945694260647943929814243<178>
(62·10181-71)/9 =
6(8)1801<182>
= 61 · 30137 · 5397647 · 123360683 · 22142776253173<14> · 15376721275140437<17> · [165288359412382952451435551347536075032613516138519364067267429209558101775633445878594044199992699783601411950444215928876067574833<132>] SUBMIT/RESERVE
(62·10182-71)/9 =
6(8)1811<183>
= 3 · 37566985256921371<17> · [6112538125143339403682070800127014492696980926977552292517113322028367034824249807414106430481749886778038169406495902063539199794271733710927769637918756916035955937<166>] SUBMIT/RESERVE
(62·10183-71)/9 =
6(8)1821<184>
= 7 · 307 · 317 · [10112382824802804457342625634531634387777586947327696821629147279842416454999814878153126593821627679353303332176933426432496501033991143836086755763283471130859616150258265364257<179>] SUBMIT/RESERVE
(62·10184-71)/9 =
6(8)1831<185>
= 127 · 431 · 52153 · 8030798742259<13> · 3004900882240418523949401511264676220593922327448303991858800698663603738140341805303775676976398735330362875311220190624005128199802174162346771261963162819492019<163>
(62·10185-71)/9 =
6(8)1841<186>
= 3 · 96289 · 1881545329997<13> · 1979646581747<13> · [640248985256579574295874451190318880409954060259251858070195199724956525382588920395435862442873956243372874586691358563994131291300585312424056075190659677<156>] SUBMIT/RESERVE
(62·10186-71)/9 =
6(8)1851<187>
= 222731 · 262810921818323<15> · 588693193234303<15> · 199910722739144067523642095842411493673695344899106230449562716931831007150896292635871718294772994659093262846661220113070068983926875111530633635594079<153>
(62·10187-71)/9 =
6(8)1861<188>
= 173 · 37754149 · 967824333513549013<18> · 216802388339074258698275400269<30> · [50266401073944387005872937866183784917399113571780638731571774164778399859981921931914065676985560744592344630601055339358805564449<131>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3382327869 for P30 / Nov 9, 2009) SUBMIT/RESERVE
(62·10188-71)/9 =
6(8)1871<189>
= 32 · 13103 · 25734603911<11> · 108830489629974769<18> · 2085776923585523970540354101543169388259343571784731505992046313448487399436322705162177738263478456966105454559286371446392756746218984015340072524840007217<157>
(62·10189-71)/9 =
6(8)1881<190>
= 7 · 19 · 4049 · 4519 · 930283 · 3042932623020313279853061606997466711295310294742461943660964056175934733580888771231917616586815051297037749926876888720824177859868124234037099064520466315035082707320467809<175>
(62·10190-71)/9 =
6(8)1891<191>
= 17 · [4052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993464052287581699346405228758169934640522875816993<190>] RESERVED
(62·10191-71)/9 =
6(8)1901<192>
= 3 · 67 · 887 · 2539 · 9337 · 39719 · 1602440276322618158898151<25> · [2560821369236858051113767017554837194644209263733552070040392103160664035898735258272391683372064172672420988097846022743915507862976643065388995155989<151>] SUBMIT/RESERVE
(62·10192-71)/9 =
6(8)1911<193>
= 807571049183<12> · [8530381191671259541168926169435991507271210316825334090090508866672269434324240593730784992808917838267945294415643297795865098418412440981795785238978100353069859150284007598676207<181>] SUBMIT/RESERVE
(62·10193-71)/9 =
6(8)1921<194>
= 75960033942817<14> · 4397607999596779171<19> · 369309395407669463317213<24> · 1171702087614980824891741<25> · [476584546263894187249410686004100765778612480514835230007919231006638024959787696980937702139804608084591272660451<114>] SUBMITTED
(62·10194-71)/9 =
6(8)1931<195>
= 3 · 72923 · 114649 · 2019271 · 508912720344443867<18> · [26727307665467187467996775278227782465700163911349478462279349652609456807005013403892784603006448669651160605979418734715072715969667844413384580367875439138493<161>] SUBMIT/RESERVE
(62·10195-71)/9 =
6(8)1941<196>
= 7 · 4603189 · 77438818267<11> · 2760791545873986851892245981274483218439724048856856249503152691296495761637102024733163005367799666716988714712300050549765835065635626876747606265297137411720034499246807545041<178>
(62·10196-71)/9 =
6(8)1951<197>
= 23 · 43 · 83 · 5675897509<10> · [147856442071426803802551432478419792275528733592098709261269708264179306471313431253771682783345042499432318579843236480041245643398735119012330838396991521955770582240605142189985307<183>] SUBMIT/RESERVE
(62·10197-71)/9 =
6(8)1961<198>
= 33 · 91718442323<11> · 6332802795225300552547<22> · [43927125138539546950224284279318641089880043149108833794563356267357078032986894855055741298754469919405354816220787134482662529155273190421472596781303829911393563<164>] SUBMIT/RESERVE
(62·10198-71)/9 =
6(8)1971<199>
= 18090491 · 96259713961<11> · 292004497230977<15> · 20703814083710017434203941181<29> · [654356407770923648465491093265011628500438838155395019040655717408451346641013314886383730589549523068829008515207175565727024831982591463<138>] (Serge Batalov / GMP-ECM B1=2000000, sigma=4244008742 for P29 / Nov 10, 2009) SUBMIT/RESERVE
(62·10199-71)/9 =
6(8)1981<200>
= 109 · 188317 · 68003315331966370803913<23> · 49351808149778221715352113537651918428953893201779792920728463563066149277268147418755347145516974152334226464115513590271795027137752268708242826317256848317056101406929<170>
(62·10200-71)/9 =
6(8)1991<201>
= 3 · 6275509 · 3872328393040929972041778137809<31> · 9449455584048868436919532962259724764331722060008046360763962728490427682628992737875209567376333850262006063723368470118347564469027154643399695818531040406570367<163> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4268483781 / Nov 9, 2009)

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.