[PR]衝撃!あなたの本当の裏の顔!:実は貴方はΟΔ県出身?ここで分かる真実
Factorizations of 788...889 2008-07-11(Fri) 12:45
Last update
Jul 11, 2008 12:45 JSTSequence
79, 789, 7889, 78889, 788889, ...General term
(71·10n +1)/9Room for prime numbers
upper limit of periods: 10000Prime numbers
(71·101 +1)/9 = 79 is prime. (Makoto Kamada / Dec 6, 2004)(71·104 +1)/9 = 78889 is prime. (Makoto Kamada / Dec 6, 2004)(71·1018 +1)/9 = 7( 8) 17 9<19> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)(71·1028 +1)/9 = 7( 8) 27 9<29> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)(71·1055 +1)/9 = 7( 8) 54 9<56> is prime. (Makoto Kamada / PPSIQS / Dec 6, 2004)(71·101728 +1)/9 = 7( 8) 1727 9<1729> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 25, 2006)
(71·101876 +1)/9 = 7( 8) 1875 9<1877> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 12, 2006)
(71·101884 +1)/9 = 7( 8) 1883 9<1885> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 14, 2006)
(71·106841 +1)/9 = 7( 8) 6840 9<6842> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
Searched:
A103067 (On-Line Encyclopedia of Integer Sequences)
Condition
n≤100Status
Completed up to n=100. (Dec 6, 2004)Factorization 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)