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Factorizations of 788...889

Table of contents

  1. About 788...889
  2. Prime numbers of the form 788...889
  3. Factorizations of 788...889
  4. References

1. About 788...889

First ten terms

79, 789, 7889, 78889, 788889, 7888889, 78888889, 788888889, 7888888889, 78888888889

General term

(71·10n+1)/9

2. Prime numbers of the form 788...889

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

15.44%

Results

  1. (71·101+1)/9 = 79 is prime. (Makoto Kamada / Dec 6, 2004)
  2. (71·104+1)/9 = 78889 is prime. (Makoto Kamada / Dec 6, 2004)
  3. (71·1018+1)/9 = 7(8)179<19> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
  4. (71·1028+1)/9 = 7(8)279<29> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
  5. (71·1055+1)/9 = 7(8)549<56> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)
  6. (71·101728+1)/9 = 7(8)17279<1729> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 25, 2006)
  7. (71·101876+1)/9 = 7(8)18759<1877> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 12, 2006)
  8. (71·101884+1)/9 = 7(8)18839<1885> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 14, 2006)
  9. (71·106841+1)/9 = 7(8)68409<6842> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)

3. Factorizations of 788...889

Last update

Jul 11, 2008

Completed up to

Range

n≤100

Results

(71·101+1)/9 =
79
= definitely prime number
(71·102+1)/9 =
789
= 3 · 263
(71·103+1)/9 =
7889
= 73 · 23
(71·104+1)/9 =
78889
= definitely prime number
(71·105+1)/9 =
788889
= 3 · 59 · 4457
(71·106+1)/9 =
7888889
= 659 · 11971
(71·107+1)/9 =
78888889
= 47 · 157 · 10691
(71·108+1)/9 =
788888889
= 34 · 1997 · 4877
(71·109+1)/9 =
7888888889<10>
= 7 · 89 · 211 · 60013
(71·1010+1)/9 =
78888888889<11>
= 43 · 3593 · 510611
(71·1011+1)/9 =
788888888889<12>
= 3 · 61283 · 4290961
(71·1012+1)/9 =
7888888888889<13>
= 29 · 83 · 109 · 5051 · 5953
(71·1013+1)/9 =
78888888888889<14>
= 17 · 191 · 24295931287<11>
(71·1014+1)/9 =
788888888888889<15>
= 3 · 79 · 199 · 16726859803<11>
(71·1015+1)/9 =
7888888888888889<16>
= 7 · 31723 · 35525773949<11>
(71·1016+1)/9 =
78888888888888889<17>
= 19 · 2131 · 24499 · 79529899
(71·1017+1)/9 =
788888888888888889<18>
= 32 · 215025073 · 407646977
(71·1018+1)/9 =
7888888888888888889<19>
= definitely prime number
(71·1019+1)/9 =
78888888888888888889<20>
= 7161023 · 11016427246343<14>
(71·1020+1)/9 =
788888888888888888889<21>
= 3 · 24469 · 11386499 · 943817773
(71·1021+1)/9 =
7888888888888888888889<22>
= 7 · 113 · 691 · 15791 · 775441 · 1178699
(71·1022+1)/9 =
78888888888888888888889<23>
= 9907 · 22129 · 4048123 · 88891081
(71·1023+1)/9 =
788888888888888888888889<24>
= 3 · 97 · 2710958381061473844979<22>
(71·1024+1)/9 =
7888888888888888888888889<25>
= 431 · 18303686517143593709719<23>
(71·1025+1)/9 =
78888888888888888888888889<26>
= 23 · 3429951690821256038647343<25>
(71·1026+1)/9 =
788888888888888888888888889<27>
= 32 · 647 · 135478084988646554849543<24>
(71·1027+1)/9 =
7888888888888888888888888889<28>
= 7 · 79 · 257 · 6551 · 93323 · 90794866384933<14>
(71·1028+1)/9 =
78888888888888888888888888889<29>
= definitely prime number
(71·1029+1)/9 =
788888888888888888888888888889<30>
= 3 · 17 · 61 · 5399 · 205566999853<12> · 228480480317<12>
(71·1030+1)/9 =
7888888888888888888888888888889<31>
= 7127 · 35895577 · 30836717469836923591<20>
(71·1031+1)/9 =
78888888888888888888888888888889<32>
= 43 · 6449753 · 284448927423641807782691<24>
(71·1032+1)/9 =
788888888888888888888888888888889<33>
= 3 · 106066861403<12> · 2479218857658451524521<22>
(71·1033+1)/9 =
7888888888888888888888888888888889<34>
= 7 · 181 · 6226431640796281680259580812067<31>
(71·1034+1)/9 =
78888888888888888888888888888888889<35>
= 19 · 367 · 506941508831<12> · 22317128854856956403<20>
(71·1035+1)/9 =
788888888888888888888888888888888889<36>
= 33 · 1794841 · 16278938912073422471712781427<29>
(71·1036+1)/9 =
7888888888888888888888888888888888889<37>
= 376404907 · 1392463730341<13> · 15051392146591247<17>
(71·1037+1)/9 =
78888888888888888888888888888888888889<38>
= 3371 · 325883 · 211271471 · 339902629994713433663<21>
(71·1038+1)/9 =
788888888888888888888888888888888888889<39>
= 3 · 24829169 · 48698927 · 655870643 · 331584953794207<15>
(71·1039+1)/9 =
7888888888888888888888888888888888888889<40>
= 7 · 107 · 211 · 383 · 130332519946433040594928817086097<33>
(71·1040+1)/9 =
78888888888888888888888888888888888888889<41>
= 29 · 79 · 358298456406757<15> · 96104962351068212134247<23>
(71·1041+1)/9 =
788888888888888888888888888888888888888889<42>
= 3 · 27737 · 9480584164219741246816994013879041099<37>
(71·1042+1)/9 =
7888888888888888888888888888888888888888889<43>
= 1493 · 5283917541117809034754781573267842524373<40>
(71·1043+1)/9 =
78888888888888888888888888888888888888888889<44>
= 171491 · 1048318133<10> · 6444258795589<13> · 68093935580995867<17>
(71·1044+1)/9 =
788888888888888888888888888888888888888888889<45>
= 32 · 151 · 519983257 · 12050025433<11> · 16336115207<11> · 5671138732513<13>
(71·1045+1)/9 =
7888888888888888888888888888888888888888888889<46>
= 72 · 17 · 151937 · 2878785596440876103<19> · 21651997575089098303<20>
(71·1046+1)/9 =
78888888888888888888888888888888888888888888889<47>
= 643667981829967<15> · 122561461989464596291420819173367<33>
(71·1047+1)/9 =
788888888888888888888888888888888888888888888889<48>
= 3 · 23 · 569 · 853 · 236593348441<12> · 99564133904025331516235245313<29>
(71·1048+1)/9 =
7888888888888888888888888888888888888888888888889<49>
= 11171 · 134503 · 615168733 · 8534882818931203123561727058841<31>
(71·1049+1)/9 =
78888888888888888888888888888888888888888888888889<50>
= 930353911 · 19626523486331<14> · 4320403142521172949817255229<28>
(71·1050+1)/9 =
788888888888888888888888888888888888888888888888889<51>
= 3 · 131 · 1327 · 3863 · 391586452094386149462940694902987422898873<42>
(71·1051+1)/9 =
7888888888888888888888888888888888888888888888888889<52>
= 7 · 8297 · 135830315413297213948051600215032781020487420391<48>
(71·1052+1)/9 =
78888888888888888888888888888888888888888888888888889<53>
= 19 · 43 · 76500847937519<14> · 1262198134131051621549577371508174343<37>
(71·1053+1)/9 =
788888888888888888888888888888888888888888888888888889<54>
= 32 · 47 · 79 · 83 · 89 · 8233 · 5506873 · 16047979 · 4392348167521687343982769481<28>
(71·1054+1)/9 =
7888888888888888888888888888888888888888888888888888889<55>
= 179 · 313 · 40189 · 341141 · 2920463566593806173<19> · 3516620956477834956791<22>
(71·1055+1)/9 =
78888888888888888888888888888888888888888888888888888889<56>
= definitely prime number
(71·1056+1)/9 =
788888888888888888888888888888888888888888888888888888889<57>
= 3 · 359 · 953 · 9923 · 39118202629632608774311<23> · 1980091921945738937577673<25>
(71·1057+1)/9 =
7888888888888888888888888888888888888888888888888888888889<58>
= 7 · 3511 · 13127 · 16573 · 37772069 · 14398989757<11> · 2412556358039<13> · 1124449846999741<16>
(71·1058+1)/9 =
78888888888888888888888888888888888888888888888888888888889<59>
= 73877 · 1067840990956439607575955830487010691945922125815732757<55>
(71·1059+1)/9 =
788888888888888888888888888888888888888888888888888888888889<60>
= 3 · 39207841 · 72613417 · 217312001 · 425031454695326556858525090454998779<36>
(71·1060+1)/9 =
7888888888888888888888888888888888888888888888888888888888889<61>
= 62340895312431864983<20> · 126544363043751578158185905094519069259183<42>
(71·1061+1)/9 =
78888888888888888888888888888888888888888888888888888888888889<62>
= 17 · 13831 · 37957 · 141653 · 62401593498856917965661957341332035335155557367<47>
(71·1062+1)/9 =
788888888888888888888888888888888888888888888888888888888888889<63>
= 33 · 5051 · 15329 · 309969887 · 1217422649782087007555530393184378625763896959<46>
(71·1063+1)/9 =
7888888888888888888888888888888888888888888888888888888888888889<64>
= 7 · 59 · 134867 · 141631576894917941646589443106614512015413569022001585759<57>
(71·1064+1)/9 =
78888888888888888888888888888888888888888888888888888888888888889<65>
= 2441 · 32318266648459192498520642723838135554645181847148254358414129<62>
(71·1065+1)/9 =
788888888888888888888888888888888888888888888888888888888888888889<66>
= 3 · 136217 · 1946925919902983<16> · 991548235999923203589436623791555194996480733<45>
(71·1066+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888889<67>
= 79 · 593 · 3803 · 6217 · 13469 · 1082023 · 52352556667<11> · 9335060156175608102458293766992853<34>
(71·1067+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888889<68>
= 9587 · 284526946078591238244617<24> · 28920760530975188588322985622088785372491<41>
(71·1068+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888889<69>
= 3 · 29 · 372067 · 445069122132546469<18> · 54758049388336156780907276683331274357150689<44>
(71·1069+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888889<70>
= 7 · 23 · 193 · 211 · 4103809 · 1881080290697<13> · 120225537330506767<18> · 1296459634640967990389474693<28>
(71·1070+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888889<71>
= 19 · 587 · 26863 · 463168163 · 50028594439<11> · 11363513286272749612033004103967981351761643<44>
(71·1071+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888889<72>
= 32 · 21636967397<11> · 10336378963523<14> · 391930007344847344276925392857012207478844560991<48>
(71·1072+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888889<73>
= 1364609 · 5781061746543433971847532068811570852082090099720058191679000276921<67>
(71·1073+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888889<74>
= 43 · 10631618914626977<17> · 172563119288760364029496996186715978996245765009010349899<57>
(71·1074+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888889<75>
= 3 · 409 · 304331 · 2112637982125697851897045046499910336519714809000091201391469784897<67>
(71·1075+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888889<76>
= 7 · 8933 · 161377 · 2247709 · 94630047663954502702263631<26> · 3675442934694844657231314510652993<34>
(71·1076+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888889<77>
= 419 · 499 · 509 · 279420204224669923<18> · 570229576502413025581<21> · 4652388174902730513735503943907<31>
(71·1077+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888889<78>
= 3 · 17 · 1237 · 21482753 · 7267744963<10> · 790908084665033033<18> · 101265225628216350456698317773848497781<39>
(71·1078+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888889<79>
= 110059 · 501053428697657603<18> · 81757238959891747354027<23> · 1749766195959747611562116149846891<34>
(71·1079+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888889<80>
= 79 · 149 · 311 · 78891879443741383832479<23> · 4905138116346551708503673<25> · 55687605945732600172232507<26>
(71·1080+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888889<81>
= 32 · 296431869458360179<18> · 392794821129543955141<21> · 752805327375583899025957957356516412825039<42>
(71·1081+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888889<82>
= 7 · 4831 · 364373 · 450384793 · 9451206937<10> · 150405453269549814311909199988018993613313218581954669<54>
(71·1082+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888889<83>
= 9519065177224441<16> · 2480973138059945195010421096806169<34> · 3340407704644098695954455863732841<34> (Makoto Kamada / msieve 0.81 / 1 minutes)
(71·1083+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888888889<84>
= 3 · 967 · 4259 · 1219643 · 9850559 · 15514321 · 19562527 · 562839961961<12> · 1084413112633<13> · 28689927685985459266307573<26>
(71·1084+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888888889<85>
= 1723 · 580214048201<12> · 73319578896329<14> · 107627278844290005813670173129912303860495786613801649067<57>
(71·1085+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888888889<86>
= 157 · 643 · 9553139249073507980049508274860219<34> · 81801092839866970551507440274883224387973093981<47> (Makoto Kamada / GGNFS-0.70.3 / 0.14 hours)
(71·1086+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888888888889<87>
= 3 · 825093949 · 107875401264357607578746917561195404299<39> · 2954396351056787383541171636195454035213<40> (Makoto Kamada / GGNFS-0.70.3 / 0.25 hours)
(71·1087+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<88>
= 72 · 51572597 · 9310218512783533873651<22> · 335305659503219262678588727873326757408559278079232428263<57>
(71·1088+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<89>
= 19 · 14669 · 279870413 · 396126854379454753451669<24> · 2553115462311926318469510779486823121350627321747167<52>
(71·1089+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<90>
= 37 · 61 · 13913 · 87541 · 198017 · 854778359 · 28684609230498350216790694101392276352776859157116792893387573<62>
(71·1090+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<91>
= 167 · 1297 · 149411 · 1956163968040083540463284212434326079<37> · 124615356574408548677896781976416577481580219<45> (Makoto Kamada / GGNFS-0.70.3 / 0.32 hours)
(71·1091+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<92>
= 23 · 1013 · 9239 · 1388846909829837637<19> · 263875587923589281195431089313781669306004436024281929120378658977<66>
(71·1092+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<93>
= 3 · 79 · 107 · 1523 · 1577909 · 18902864222863121<17> · 684816544780407421080012940784157676074297434365703580853645193<63>
(71·1093+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<94>
= 7 · 17 · 355913 · 754217364283<12> · 877646586206364498787<21> · 281390111686731302439529108837382669598112817315451047<54>
(71·1094+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<95>
= 43 · 83 · 137892043 · 124452391055046865079<21> · 1288032555877395162118181562957848204123091169268557215033570973<64>
(71·1095+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<96>
= 3 · 1100161 · 239022254890841397725390159224843421065610363358602025488053987519065812152005900011873683<90>
(71·1096+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<97>
= 29 · 3853 · 47699 · 50783166417235490789<20> · 29146726230705582494235704480528606256933555155306578735100871542527<68>
(71·1097+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<98>
= 89 · 3754597672687<13> · 236081755559488196322454117834358869146357997784528577685962226330672422768993490223<84>
(71·1098+1)/9 =
788888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<99>
= 32 · 947 · 1509622075933603<16> · 628503324296726666997757<24> · 97554550826534944103648680380078783916476260071115308333<56>
(71·1099+1)/9 =
7888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<100>
= 7 · 47 · 211 · 3851 · 169483 · 216679 · 1234687 · 217633193 · 420608520282489839<18> · 274214254709544270249419<24> · 25928112320340219716120743<26>
(71·10100+1)/9 =
78888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<101>
= 1092205249937867111624957138723723<34> · 72228996238002596169159684003158250315614618422912973434238014045643<68> (Makoto Kamada / GGNFS-0.71.4 / 0.50 hours)

4. References

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