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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

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

14.56%

Results

  1. (62·101-71)/9 = 61 is prime. (Makoto Kamada / Dec 6, 2004)
  2. (62·104-71)/9 = 68881 is prime. (Makoto Kamada / Dec 6, 2004)
  3. (62·1010-71)/9 = 68888888881<11> is prime. (Makoto Kamada / Dec 6, 2004)
  4. (62·1013-71)/9 = 6(8)121<14> is prime. (Makoto Kamada / Dec 6, 2004)
  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

Jul 11, 2008

Completed up to

Range

n≤100

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)

4. References

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