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Factorizations
Factorizations of 99...99799...992005-07-27(Wed) 00:14

Last update

Jul 27, 2005 00:14 JST

Sequence

7, 979, 99799, 9997999, 999979999, ...

General term

102n+1-2·10n-1

Prime numbers

  1. 10237-2·10118-1 = (9)1187(9)118<237> is prime. (Patrick De Geest / Sep 23, 2002)
References:

Condition

n≤75

Status

Completed up to n=50. (Aug 6, 2004)
Completed up to n=75. (Jul 26, 2005)

Factorization results

103-2·101-1 =
979
= 11 · 89
105-2·102-1 =
99799
= 7 · 53 · 269
107-2·103-1 =
9997999
= 11 · 908909
109-2·104-1 =
999979999
= 547 · 1828117
1011-2·105-1 =
99999799999<11>
= 11 · 1741 · 5221649
1013-2·106-1 =
9999997999999<13>
= 7 · 1399 · 1021137343<10>
1015-2·107-1 =
999999979999999<15>
= 11 · 90909089090909<14>
1017-2·108-1 =
99999999799999999<17>
= 7 · 79 · 263 · 479951 · 1432591
1019-2·109-1 =
9999999997999999999<19>
= 11 · 43 · 113 · 1964063 · 95258777
1021-2·1010-1 =
999999999979999999999<21>
= 131 · 7633587786106870229<19>
1023-2·1011-1 =
99999999999799999999999<23>
= 11 · 9090909090890909090909<22>
1025-2·1012-1 =
9999999999997999999999999<25>
= 7 · 19 · 1231 · 2120101 · 28809369597913<14>
1027-2·1013-1 =
999999999999979999999999999<27>
= 11 · 244313 · 71099009 · 5233559799077<13>
1029-2·1014-1 =
99999999999999799999999999999<29>
= 7 · 19 · 397326467 · 979610491 · 1931734499<10>
1031-2·1015-1 =
9999999999999997999999999999999<31>
= 11 · 53 · 22741 · 754261407242101091695333<24>
1033-2·1016-1 =
999999999999999979999999999999999<33>
= 97 · 2351 · 13092617739319<14> · 334926220377143<15>
1035-2·1017-1 =
99999999999999999799999999999999999<35>
= 11 · 628145336279<12> · 14472620531996164916971<23>
1037-2·1018-1 =
9999999999999999997999999999999999999<37>
= 7 · 1428571428571428571142857142857142857<37>
1039-2·1019-1 =
999999999999999999979999999999999999999<39>
= 11 · 257 · 2293 · 5199660705602609<16> · 29668468698309401<17>
1041-2·1020-1 =
99999999999999999999799999999999999999999<41>
= 7 · 89 · 79575060225257<14> · 2017135057206834451144009<25>
1043-2·1021-1 =
9999999999999999999997999999999999999999999<43>
= 11 · 79 · 3017557 · 3813508696574825813422844578943303<34>
1045-2·1022-1 =
999999999999999999999979999999999999999999999<45>
= 2341 · 101279239 · 4217723999443276138877577121948501<34>
1047-2·1023-1 =
99999999999999999999999799999999999999999999999<47>
= 11 · 607 · 196975547 · 76033732155232045642149775584237721<35>
1049-2·1024-1 =
9999999999999999999999997999999999999999999999999<49>
= 7 · 61723 · 116827 · 31611379 · 380138027413<12> · 16486442432361157471<20>
1051-2·1025-1 =
999999999999999999999999979999999999999999999999999<51>
= 11 · 2693 · 19916209 · 3542998395720131<16> · 478402379002749872572547<24>
1053-2·1026-1 =
99999999999999999999999999799999999999999999999999999<53>
= 7 · 83 · 67579 · 160864547 · 15977267245776461<17> · 990944352105574066703<21>
1055-2·1027-1 =
9999999999999999999999999997999999999999999999999999999<55>
= 11 · 10067 · 531701 · 169839917075523257222772638155455420307261427<45>
1057-2·1028-1 =
999999999999999999999999999979999999999999999999999999999<57>
= 53 · 18867924528301886792452830188301886792452830188679245283<56>
1059-2·1029-1 =
99999999999999999999999999999799999999999999999999999999999<59>
= 11 · 10635689 · 181232045781500722951<21> · 4716357230667148455924536134531<31>
1061-2·1030-1 =
9999999999999999999999999999997999999999999999999999999999999<61>
= 72 · 19 · 43 · 107 · 74131 · 2621433476195267556019<22> · 12013218769583770482255302261<29>
1063-2·1031-1 =
999999999999999999999999999999979999999999999999999999999999999<63>
= 11 · 97 · 937207122774133083411433926897825679475164011246485473289597<60>
1065-2·1032-1 =
99999999999999999999999999999999799999999999999999999999999999999<65>
= 73 · 19 · 303421182901<12> · 163661526369353426464507<24> · 309000928642486250929693621<27>
1067-2·1033-1 =
9999999999999999999999999999999997999999999999999999999999999999999<67>
= 11 · 3115910670077980613<19> · 39223777474717178899<20> · 7438286465774208854116491907<28>
1069-2·1034-1 =
999999999999999999999999999999999979999999999999999999999999999999999<69>
= 79 · 1213 · 48272323835503423<17> · 216179198102369011327474682685721242069083051419<48>
1071-2·1035-1 =
99999999999999999999999999999999999799999999999999999999999999999999999<71>
= 11 · 169493 · 235621 · 2445285590671019<16> · 93091915063096912678712257452512911231061087<44>
1073-2·1036-1 =
9999999999999999999999999999999999997999999999999999999999999999999999999<73>
= 7 · 49716675952181112605547917<26> · 28734250655564110277423868074254964444125659821<47>
1075-2·1037-1 =
999999999999999999999999999999999999979999999999999999999999999999999999999<75>
= 11 · 7483078511<10> · 8582794076349347<16> · 1415462344299970427580495768422081967733800382577<49>
1077-2·1038-1 =
99999999999999999999999999999999999999799999999999999999999999999999999999999<77>
= 7 · 389 · 1147651617419<13> · 31999433182705200640712524120939158024514702565895136278912127<62>
1079-2·1039-1 =
9999999999999999999999999999999999999997999999999999999999999999999999999999999<79>
= 11 · 186286741562876719<18> · 4883993859409904022599<22> · 999195016449737971988769434688419678389<39>
1081-2·1040-1 =
999999999999999999999999999999999999999979999999999999999999999999999999999999999<81>
= 26833 · 37267543696194983788618492155182051950955167144933477434502291953937315991503<77>
1083-2·1041-1 =
99999999999999999999999999999999999999999799999999999999999999999999999999999999999<83>
= 11 · 53 · 81883 · 180539 · 2205034471069<13> · 136568927285174205111464729<27> · 38530033407023241269583350542669<32>
1085-2·1042-1 =
9999999999999999999999999999999999999999997999999999999999999999999999999999999999999<85>
= 7 · 157 · 32617434891596421268895749<26> · 278966788895091381659828490609018716625386771382153630649<57>
1087-2·1043-1 =
999999999999999999999999999999999999999999979999999999999999999999999999999999999999999<87>
= 11 · 30919979 · 80767507 · 36402519783254101487499187845411885753141802515731412116409903952105453<71>
1089-2·1044-1 =
99999999999999999999999999999999999999999999799999999999999999999999999999999999999999999<89>
= 7 · 57193 · 240283 · 12929507 · 80399633893530037974623259630334093745339127305161067703074396415906929<71>
1091-2·1045-1 =
9999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999<91>
= 11 · 89 · 307 · 1209433635749<13> · 9572217953245682266391<22> · 2873983770914752571151494095448291915286933493839037<52>
1093-2·1046-1 =
999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999<93>
= 113 · 653 · 148262919821<12> · 91406236209898414784287489179251968060729020422868130152556423159275526947671<77>
1095-2·1047-1 =
99999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999<95>
= 11 · 79 · 78850921096160777<17> · 79110283156596495399801359118203<32> · 18447627204558399538203199780692362658523841<44>
1097-2·1048-1 =
9999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999<97>
= 7 · 19 · 313 · 9743 · 288997 · 8949419 · 29608763 · 321960711939272821596015740909796587268811277967651029086116741275513<69>
1099-2·1049-1 =
999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999<99>
= 11 · 2211919 · 2734211 · 1546931800215780517834021<25> · 9717060398409069873712230059336265687747922477148425836148381<61>
10101-2·1050-1 =
99999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999<101>
= 7 · 19 · 6151 · 90073 · 446055228834029907440715213577<30> · 3042421416697031040911352190413335620934496497566066939291093<61>
10103-2·1051-1 =
9999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999<103>
= 11 · 43 · 433 · 39805279121<11> · 104511043708403<15> · 2520136347599369<16> · 72209000768572803604109<23> · 64495992603819978310965366915948857<35>
10105-2·1052-1 =
999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999<105>
= 1863079667124649535843265309290442882620142287<46> · 536745699953524798805570660299784549337566683355200355789777<60> (Makoto Kamada / GGNFS-0.72.7 / 0.62 hours)
10107-2·1053-1 =
99999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999<107>
= 11 · 1231 · 291344230262719112021<21> · 6447518571930157509519707<25> · 3931427202384724310895923362701144323342177102997781304837<58>
10109-2·1054-1 =
9999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999<109>
= 7 · 53 · 131 · 267569 · 404338078154841536371<21> · 1901841661052587769632596084523395998914488203091972701458954362219543104513501<79>
10111-2·1055-1 =
999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999<111>
= 11 · 227 · 400480576692030436523828594313175810973167801361633960744893872647176611934321185422507008410092110532639167<108>
10113-2·1056-1 =
99999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999<113>
= 7 · 2145408709<10> · 426875033556510001<18> · 1454395592450963321<19> · 10725279429216543299262326977194791907015998624833800305630291792813<68>
10115-2·1057-1 =
9999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999<115>
= 11 · 1358797333889942281358846059<28> · 1112908627391431786400307420053803591<37> · 601164213411373474442564513491518505316203770786161<51> (Makoto Kamada / msieve 0.88 for P37 x P51 / May 14, 2005)
10117-2·1058-1 =
999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999<117>
= 2243 · 1231423 · 9038605741961777510197<22> · 1210666670797158277867670099763948435443<40> · 33085479697070598617439471766081213044857813221<47> (Makoto Kamada / msieve 0.88 / 1.1 hours)
10119-2·1059-1 =
99999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999<119>
= 11 · 317 · 4463 · 3167237723290723022627763701000062201290487<43> · 2028805924177070278738189526016446215925057127787218042322616836553417<70> (Kenichiro Yamaguchi / GGNFS-0.77.0 / 3.34 hours on Pentium 4 2.4BGHz / Jun 1, 2005)
10121-2·1060-1 =
9999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999<121>
= 7 · 79 · 55843 · 847537822828545129739<21> · 109571578298887190277624203489639735475924721<45> · 3486977310257406995437536241850930394553144208599<49> (Kenichiro Yamaguchi / msieve.exe 0.88 for P45 x P49 / 06:27:16 on Pentium 4 2.4BGHz / May 25, 2005)
10123-2·1061-1 =
999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999<123>
= 11 · 586819 · 68326809933615200155550743<26> · 81621426753868787364476347607262473<35> · 27778437982184395248642414400527508129182616184176574449<56> (Kenichiro Yamaguchi / msieve.exe 0.88 for P35 x P56 / 08:08:12 on Pentium III 866MHz / May 22, 2005)
10125-2·1062-1 =
99999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999<125>
= 7 · 5221343 · 9955173566814934899191711689<28> · 274834279196493912984344687915946198771497911368153612161553647269102139792563972019071391<90>
10127-2·1063-1 =
9999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999<127>
= 11 · 1721 · 3701 · 747123618743846530729537<24> · 191035858095460476954927547272141669168030253821754813700957582267146730671537510305564520516817<96>
10129-2·1064-1 =
999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999<129>
= 89 · 34483629199335949314967<23> · 34090512215571938963550265483<29> · 9557922400736079804251742037292005442316355363395076627523233150617445543331<76>
10131-2·1065-1 =
99999999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999999<131>
= 11 · 1433 · 20912212709<11> · 303361970573830083860107133357593600474017535398978690625964696023634300628891244471725928802192126708444859046957697<117>
10133-2·1066-1 =
9999999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999999<133>
= 7 · 19 · 1213 · 44816507 · 394567953887<12> · 12208820704529<14> · 62269105148808013<17> · 4610854346170834525159966318676839335270099363749349904563199080952834400988767<79>
10135-2·1067-1 =
999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999<135>
= 11 · 53 · 83 · 431 · 510449 · 5962477 · 55432178381089703<17> · 284207191299760316626932476560171394759296296682881220092257023179649455295217086798686009574870519<99>
10137-2·1068-1 =
99999999999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999999999<137>
= 7 · 19 · 506600706529<12> · 38441493794379124235296597148224755847178273731<47> · 38608445186394108523037268509940384027364224838065637538612437090089075939697<77> (Sinkiti Sibata / GGNFS-0.77.1 / 35.10 hours / Jul 8, 2005)
10139-2·1069-1 =
9999999999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999999999<139>
= 11 · 5407255003<10> · 216663342583<12> · 100329276245299<15> · 254029515331736633<18> · 155429258217714295487<21> · 195884643903434483143511972868768681166798008199199807277122508029<66>
10141-2·1070-1 =
999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999<141>
= 151 · 29952681391<11> · 26707653448326308357669563<26> · 776542093594587270889336430100377<33> · 10660721824502037370806767990901105962219062345005297373975234579520189<71> (Makoto Kamada / GMP-ECM 6.0 B1=3000000, sigma=1326514849 for P26 / May 24, 2005) (Sinkiti Sibata / GGNFS-0.77.1 / 46.66 hours / Jun 5, 2005)
10143-2·1071-1 =
99999999999999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999999999999<143>
= 11 · 3420316723<10> · 2689592284789<13> · 388813191244537<15> · 35851493023476203089118525408940305117995409<44> · 70893481324272999965729006376984212264740636943886258399324859<62> (Sinkiti Sibata / GGNFS-0.77.1 / 134.64 hours / Jun 13, 2005)
10145-2·1072-1 =
9999999999999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999999999999<145>
= 72 · 43 · 333494405578599951508082591758373<33> · 14231376601563902084598105879773330680524057902968345305670008783724452852536115763742510732038567091916804809<110> (Sinkiti Sibata / GGNFS-0.77.1 / 133.37 hours / Jun 20, 2005)
10147-2·1073-1 =
999999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999999<147>
= 11 · 79 · 5413 · 624835533695896517<18> · 364226024782606601290393<24> · 469193742913951833708341512136612121140630107<45> · 1990917625212558203593236322683252097549924778395642201<55> (Sinkiti Sibata / GGNFS-0.77.1 gnfs / 21.34 hours for P45 x P55 / Jun 21, 2005)
10149-2·1074-1 =
99999999999999999999999999999999999999999999999999999999999999999999999999799999999999999999999999999999999999999999999999999999999999999999999999999<149>
= 72 · 157 · 6329 · 358681 · 5726124678960330499291239625019835477914264473149751013405462339944790060670613258991663387939877232440108045472104358747063258106944907<136>
10151-2·1075-1 =
9999999999999999999999999999999999999999999999999999999999999999999999999997999999999999999999999999999999999999999999999999999999999999999999999999999<151>
= 11 · 26293 · 58045103092320579472867801802574971275755973<44> · 595664319591700023546971601179237285279082212336048740598250401382315669912840159022722808886547371381<102> (Sinkiti Sibata / GGNFS-0.77.1 / 121.32 hours / Jul 26, 2005)

Factorizations
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