Factorizations of 988...887
Table of contents
1. About 988...887
First ten terms
97, 987, 9887, 98887, 988887, 9888887, 98888887, 988888887, 9888888887, 98888888887
General term
(89·10n-17)/9
2. Prime numbers of the form 988...887
Last update
Oct 13, 2010
Searched up to
n≤30000
Difficulty of search
25.49%
Results
- (89·101-17)/9 = 97 is prime.
- (89·103-17)/9 = 9887 is prime.
- (89·104-17)/9 = 98887 is prime.
- (89·106-17)/9 = 9888887 is prime.
- (89·109-17)/9 = 9888888887<10> is prime.
- (89·1012-17)/9 = 9(8)117<13> is prime.
- (89·1016-17)/9 = 9(8)157<17> is prime.
- (89·1034-17)/9 = 9(8)337<35> is prime.
- (89·10129-17)/9 = 9(8)1287<130> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
- (89·10243-17)/9 = 9(8)2427<244> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
- (89·10252-17)/9 = 9(8)2517<253> is prime. (searched by Makoto Kamada / Dec 7, 2004) (certified by Makoto Kamada / PPSIQS / Jan 8, 2005)
- (89·10529-17)/9 = 9(8)5287<530> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 2, 2006)
- (89·104885-17)/9 = 9(8)48847<4886> is prime. (searched by Makoto Kamada / PFGW / Dec 19, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 17, 2010)
- (89·106363-17)/9 = 9(8)63627<6364> is PRP. (Makoto Kamada / PFGW / Dec 25, 2004)
- (89·1012951-17)/9 = 9(8)129507<12952> is PRP. (Ray Chandler / srsieve, PFGW / Aug 25, 2010)
- (89·1013188-17)/9 = 9(8)131877<13189> is PRP. (Ray Chandler / srsieve, PFGW / Aug 25, 2010)
- (89·1029931-17)/9 = 9(8)299307<29932> is PRP. (Ray Chandler / srsieve, PFGW / Sep 6, 2010)
- (89·1034888-17)/9 = 9(8)348877<34889> is PRP. (Serge Batalov / Oct 12, 2010)
3. Factorizations of 988...887
Last update
Jan 22, 2012
Completed up to
Range
n≤200
Terms which have not been factored yet
n=182, 185, 195, 197, 199, 200 (6/200)
Results
- (89·101-17)/9 =
- 97
- = definitely prime number
- (89·102-17)/9 =
- 987
- = 3 · 7 · 47
- (89·103-17)/9 =
- 9887
- = definitely prime number
- (89·104-17)/9 =
- 98887
- = definitely prime number
- (89·105-17)/9 =
- 988887
- = 3 · 329629
- (89·106-17)/9 =
- 9888887
- = definitely prime number
- (89·107-17)/9 =
- 98888887
- = 131 · 754877
- (89·108-17)/9 =
- 988888887
- = 32 · 7 · 23 · 682463
- (89·109-17)/9 =
- 9888888887<10>
- = definitely prime number
- (89·1010-17)/9 =
- 98888888887<11>
- = 251 · 393979637
- (89·1011-17)/9 =
- 988888888887<12>
- = 3 · 31 · 12503 · 850453
- (89·1012-17)/9 =
- 9888888888887<13>
- = definitely prime number
- (89·1013-17)/9 =
- 98888888888887<14>
- = 19 · 5204678362573<13>
- (89·1014-17)/9 =
- 988888888888887<15>
- = 3 · 7 · 89603 · 525539849
- (89·1015-17)/9 =
- 9888888888888887<16>
- = 683 · 1609 · 77081 · 116741
- (89·1016-17)/9 =
- 98888888888888887<17>
- = definitely prime number
- (89·1017-17)/9 =
- 988888888888888887<18>
- = 33 · 241 · 151973088810341<15>
- (89·1018-17)/9 =
- 9888888888888888887<19>
- = 1117570771<10> · 8848557197<10>
- (89·1019-17)/9 =
- 98888888888888888887<20>
- = 23044139 · 4291281565733<13>
- (89·1020-17)/9 =
- 988888888888888888887<21>
- = 3 · 7 · 73459 · 641037137586233<15>
- (89·1021-17)/9 =
- 9888888888888888888887<22>
- = 467 · 63827471 · 331759203491<12>
- (89·1022-17)/9 =
- 98888888888888888888887<23>
- = 221159 · 250225357 · 1786946549<10>
- (89·1023-17)/9 =
- 988888888888888888888887<24>
- = 3 · 329629629629629629629629<24>
- (89·1024-17)/9 =
- 9888888888888888888888887<25>
- = 29 · 1301 · 1487132797<10> · 176247291299<12>
- (89·1025-17)/9 =
- 98888888888888888888888887<26>
- = 67 · 154619 · 9545745125151529319<19>
- (89·1026-17)/9 =
- 988888888888888888888888887<27>
- = 32 · 72 · 31 · 72334788156600752606897<23>
- (89·1027-17)/9 =
- 9888888888888888888888888887<28>
- = 139 · 20313816599<11> · 3502201823318467<16>
- (89·1028-17)/9 =
- 98888888888888888888888888887<29>
- = 3270258461<10> · 30238860343365652067<20>
- (89·1029-17)/9 =
- 988888888888888888888888888887<30>
- = 3 · 761 · 1385099 · 489215693 · 639234770827<12>
- (89·1030-17)/9 =
- 9888888888888888888888888888887<31>
- = 23 · 181 · 257 · 9242893798423286941276157<25>
- (89·1031-17)/9 =
- 98888888888888888888888888888887<32>
- = 19 · 5204678362573099415204678362573<31>
- (89·1032-17)/9 =
- 988888888888888888888888888888887<33>
- = 3 · 7 · 812857 · 667228297 · 86823961228498843<17>
- (89·1033-17)/9 =
- 9888888888888888888888888888888887<34>
- = 10904989 · 906822454281144977669293283<27>
- (89·1034-17)/9 =
- 98888888888888888888888888888888887<35>
- = definitely prime number
- (89·1035-17)/9 =
- 988888888888888888888888888888888887<36>
- = 32 · 269 · 408462985910321721969801275873147<33>
- (89·1036-17)/9 =
- 9888888888888888888888888888888888887<37>
- = 197 · 30259 · 6480599201353<13> · 255983242998727873<18>
- (89·1037-17)/9 =
- 98888888888888888888888888888888888887<38>
- = 1033 · 3085001 · 31030720999293680227851159239<29>
- (89·1038-17)/9 =
- 988888888888888888888888888888888888887<39>
- = 3 · 7 · 21326479 · 20600039939<11> · 107186719839986074087<21>
- (89·1039-17)/9 =
- 9888888888888888888888888888888888888887<40>
- = 59 · 167608286252354048964218455743879472693<39>
- (89·1040-17)/9 =
- 98888888888888888888888888888888888888887<41>
- = 2557 · 27901 · 15623893 · 88717183134095850464718787<26>
- (89·1041-17)/9 =
- 988888888888888888888888888888888888888887<42>
- = 3 · 31 · 10633213859020310633213859020310633213859<41>
- (89·1042-17)/9 =
- 9888888888888888888888888888888888888888887<43>
- = 631 · 917967787831<12> · 17072247422250687149671005767<29>
- (89·1043-17)/9 =
- 98888888888888888888888888888888888888888887<44>
- = 24917 · 3968731744948785523493554155351321944411<40>
- (89·1044-17)/9 =
- 988888888888888888888888888888888888888888887<45>
- = 33 · 7 · 307 · 103393 · 164837561326833769250551890847164433<36>
- (89·1045-17)/9 =
- 9888888888888888888888888888888888888888888887<46>
- = 2068639 · 235900363 · 20264420084450669646610157022491<32>
- (89·1046-17)/9 =
- 98888888888888888888888888888888888888888888887<47>
- = 50283297882859507511449<23> · 1966634907663802611312463<25>
- (89·1047-17)/9 =
- 988888888888888888888888888888888888888888888887<48>
- = 3 · 163 · 241 · 8391152142902263819709025014118820599995663<43>
- (89·1048-17)/9 =
- 9888888888888888888888888888888888888888888888887<49>
- = 47 · 157 · 709 · 238416637 · 7928064850465383289335698525098141<34>
- (89·1049-17)/9 =
- 98888888888888888888888888888888888888888888888887<50>
- = 19 · 363486223 · 6561679084427<13> · 31177170095347<14> · 69992944312979<14>
- (89·1050-17)/9 =
- 988888888888888888888888888888888888888888888888887<51>
- = 3 · 7 · 47089947089947089947089947089947089947089947089947<50>
- (89·1051-17)/9 =
- 9(8)507<52>
- = 827 · 11701 · 312231358199<12> · 242804039355257<15> · 13479897273326629567<20>
- (89·1052-17)/9 =
- 9(8)517<53>
- = 23 · 29 · 61 · 1297 · 264192719715100987<18> · 7093017093891752400559703659<28>
- (89·1053-17)/9 =
- 9(8)527<54>
- = 32 · 36941529950821<14> · 2974336562566613808912084684049739030483<40>
- (89·1054-17)/9 =
- 9(8)537<55>
- = 203207039728118823873659<24> · 48664105840623155674007420325493<32>
- (89·1055-17)/9 =
- 9(8)547<56>
- = 12874439 · 34307615539<11> · 42057060917994971<17> · 5323407709382960025457<22>
- (89·1056-17)/9 =
- 9(8)557<57>
- = 3 · 7 · 31 · 4160911609925368217<19> · 365071574138980988169908719558630861<36>
- (89·1057-17)/9 =
- 9(8)567<58>
- = 5981 · 1336568479937037397<19> · 1237036402201008832231186001610675991<37>
- (89·1058-17)/9 =
- 9(8)577<59>
- = 67 · 373 · 2963 · 3437555239<10> · 109162951234313<15> · 3558830116883612639576441677<28>
- (89·1059-17)/9 =
- 9(8)587<60>
- = 3 · 1487 · 371836321 · 217312714473991<15> · 323937457728851<15> · 8468707993614811447<19>
- (89·1060-17)/9 =
- 9(8)597<61>
- = 251 · 406661 · 2018748689429<13> · 47990910956410340321873191969345396092973<41>
- (89·1061-17)/9 =
- 9(8)607<62>
- = 21075026524953353304718526759<29> · 4692230815074040147615424481991793<34>
- (89·1062-17)/9 =
- 9(8)617<63>
- = 32 · 7 · 4285297811<10> · 94592093137088481163673<23> · 38723187856300350692479151083<29>
- (89·1063-17)/9 =
- 9(8)627<64>
- = 487 · 647 · 877 · 21673 · 4347919 · 10546499 · 36008569645099095340052207636224935383<38>
- (89·1064-17)/9 =
- 9(8)637<65>
- = 223 · 23063 · 6261778549010110889768637323<28> · 3070641609573851101079376858781<31>
- (89·1065-17)/9 =
- 9(8)647<66>
- = 3 · 2357 · 593129613073<12> · 2712878884487<13> · 11122279922535937<17> · 7814349405846723625631<22>
- (89·1066-17)/9 =
- 9(8)657<67>
- = 11981 · 102840961188538652728611842707<30> · 8025799425344226060464023492056961<34>
- (89·1067-17)/9 =
- 9(8)667<68>
- = 19 · 112570109 · 3604404709959468802591<22> · 12827359342310216285766666092397839567<38>
- (89·1068-17)/9 =
- 9(8)677<69>
- = 3 · 72 · 193 · 1285660874016833843375346637<28> · 27111055499200565064192861378247097281<38>
- (89·1069-17)/9 =
- 9(8)687<70>
- = 57727 · 370103 · 864979 · 535106639505406145252572153363331757639433232652360613<54>
- (89·1070-17)/9 =
- 9(8)697<71>
- = 1091 · 90640594765251043894490273958651593848660759751502189632345452693757<68>
- (89·1071-17)/9 =
- 9(8)707<72>
- = 34 · 31 · 367 · 39383 · 82097159531220665939541089<26> · 331892771327103390239939092233772673<36>
- (89·1072-17)/9 =
- 9(8)717<73>
- = 4507 · 2194117792076522939624781204546014841111357641200108473239158839336341<70>
- (89·1073-17)/9 =
- 9(8)727<74>
- = 139 · 238457591 · 100958918717<12> · 29551317919379016019103616602426692241874487594871839<53>
- (89·1074-17)/9 =
- 9(8)737<75>
- = 3 · 7 · 23 · 68668183423121<14> · 130262054075139251<18> · 228890035087367524045609413429747476802559<42>
- (89·1075-17)/9 =
- 9(8)747<76>
- = 653 · 5179 · 2924074307890502813633006924503653992250151731530027138366506299261001<70>
- (89·1076-17)/9 =
- 9(8)757<77>
- = 5387 · 2458403 · 13164332552312923431822328391<29> · 567216165600748616694331210375912293137<39>
- (89·1077-17)/9 =
- 9(8)767<78>
- = 3 · 241 · 11069 · 178829621570437<15> · 690973441415471391878620525226423999308090236861641065373<57>
- (89·1078-17)/9 =
- 9(8)777<79>
- = 1063 · 2182867 · 4435087 · 5794734521<10> · 374801622791<12> · 442435337687956759863156267594356600559371<42>
- (89·1079-17)/9 =
- 9(8)787<80>
- = 6815701 · 8004629 · 983781209672427973<18> · 14200097684645820064189<23> · 129749563074616828021034399<27>
- (89·1080-17)/9 =
- 9(8)797<81>
- = 32 · 7 · 29 · 12826081 · 1310934056433187<16> · 32190974610804573167217484783723414406314925748640992223<56>
- (89·1081-17)/9 =
- 9(8)807<82>
- = 2351 · 687457 · 45758081546329572898036215934679<32> · 133715428883643893217227442463215599368079<42> (Makoto Kamada / msieve 0.83 / 7.2 minutes)
- (89·1082-17)/9 =
- 9(8)817<83>
- = 6949477693<10> · 18253706853881965621<20> · 164994228759072117849240371<27> · 4724713805988453791872639949<28>
- (89·1083-17)/9 =
- 9(8)827<84>
- = 3 · 397 · 1051 · 3606613 · 7140458208295904027<19> · 32336326988660257625631463<26> · 948673362738100659990243139<27>
- (89·1084-17)/9 =
- 9(8)837<85>
- = 419 · 7421489794312243103<19> · 3180111736776245902227896979085312846489027308835971150460277891<64>
- (89·1085-17)/9 =
- 9(8)847<86>
- = 19 · 5204678362573099415204678362573099415204678362573099415204678362573099415204678362573<85>
- (89·1086-17)/9 =
- 9(8)857<87>
- = 3 · 7 · 31 · 4969 · 64997284159<11> · 4703295887834216251264890384262808846599904472157798894350099089484547<70>
- (89·1087-17)/9 =
- 9(8)867<88>
- = 661 · 12641 · 2756377388625943547<19> · 429364296148679725656880537663076596126077292300298129036475521<63>
- (89·1088-17)/9 =
- 9(8)877<89>
- = 461 · 214509520366353338153771993251385876114726440106049650518197155941190648348999758978067<87>
- (89·1089-17)/9 =
- 9(8)887<90>
- = 32 · 109 · 1043363259781<13> · 966146422518406014051114151390111324840702741511869112396013197944045427167<75>
- (89·1090-17)/9 =
- 9(8)897<91>
- = 2503 · 22699 · 195527 · 12797383 · 66433727 · 14006296619311<14> · 146463798617531<15> · 510398968063864238642690280368379433<36>
- (89·1091-17)/9 =
- 9(8)907<92>
- = 67 · 1498391 · 111270101 · 1409515214385772602183862737969638041<37> · 6280573297354040649186417681455014613431<40> (Makoto Kamada / msieve 0.83 / 18 minutes)
- (89·1092-17)/9 =
- 9(8)917<93>
- = 3 · 7 · 1451 · 1511 · 2657 · 8083599182168509729395106783028718740327411388054334528469028157982361869079959911<82>
- (89·1093-17)/9 =
- 9(8)927<94>
- = 823 · 27893 · 260057590780701463<18> · 3251718353560896493<19> · 509412946336640454804314825315131665223774339818487<51>
- (89·1094-17)/9 =
- 9(8)937<95>
- = 47 · 2083 · 7621 · 4344733 · 19801600787<11> · 215364695597429859732731<24> · 7153366934770848037436871203203357787817928547<46>
- (89·1095-17)/9 =
- 9(8)947<96>
- = 3 · 59479771230275345885783<23> · 5541877899184779637737308178726920578562756775513196211804286116355409163<73>
- (89·1096-17)/9 =
- 9(8)957<97>
- = 23 · 13259 · 1506797177521<13> · 57899039012807666459<20> · 371691591959308441278595942716409796100961221987841670700169<60>
- (89·1097-17)/9 =
- 9(8)967<98>
- = 59 · 97 · 48648259379<11> · 14837599364629736371<20> · 23938272420024214504421388427868529020446982668804573025094068941<65>
- (89·1098-17)/9 =
- 9(8)977<99>
- = 33 · 7 · 2837 · 53573149753<11> · 333542274144319<15> · 103211547788664590615367436893392648218319001640685706037890887798737<69>
- (89·1099-17)/9 =
- 9(8)987<100>
- = 441109 · 2383287254886158535459164900664794351<37> · 9406437795331038110087186903119098439204217862381253382293<58> (Makoto Kamada / GGNFS-0.71.4 / 0.66 hours)
- (89·10100-17)/9 =
- 9(8)997<101>
- = 283638389 · 126972181347785966059151<24> · 2745831648950660399621112626400266843823945505810537799821644079496533<70>
- (89·10101-17)/9 =
- 9(8)1007<102>
- = 3 · 31 · 541153 · 19649182133371358253975971712825454564345056408507785892382211007263858872279435231550079756803<95>
- (89·10102-17)/9 =
- 9(8)1017<103>
- = 182767222609331<15> · 54106468040096055142475818300006529881641523388577727580733451014498619718438519775898477<89>
- (89·10103-17)/9 =
- 9(8)1027<104>
- = 19 · 443 · 35966669 · 493367989 · 28302932904003288910611851712765866951<38> · 23393087332860742724134329260369661307746003521<47> (Makoto Kamada / Msieve 1.48 for P38 x P47 / Oct 23, 2010)
- (89·10104-17)/9 =
- 9(8)1037<105>
- = 3 · 7 · 113 · 10666493 · 93070109917<11> · 290769727808762957<18> · 850475104915726166808546259669<30> · 1697489451167596213871119227162044003<37> (Makoto Kamada / Msieve 1.48 for P30 x P37 / Oct 23, 2010)
- (89·10105-17)/9 =
- 9(8)1047<106>
- = 11279248747763<14> · 972260481475288614483276125526414523<36> · 901746964249684318381601421570739401951139542005183630263<57> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10106-17)/9 =
- 9(8)1057<107>
- = 10011809421374132428806195969953<32> · 9877224458325363773665029812360951567190888760663351584160211937995724824279<76> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 23, 2010)
- (89·10107-17)/9 =
- 9(8)1067<108>
- = 32 · 241 · 1414354746577<13> · 322351423880346797586167200205304158829921436147726445310910442766813778471870489281116908799<93>
- (89·10108-17)/9 =
- 9(8)1077<109>
- = 29 · 541 · 1009 · 1709 · 9649 · 51199 · 9088328393<10> · 51524692951<11> · 12667266941140733<17> · 124736304702839666232765282718211307840541201152423047<54>
- (89·10109-17)/9 =
- 9(8)1087<110>
- = 35081 · 3892764901<10> · 23329409683<11> · 31039420683297228371856222234500883391175332086139795562568712826624542257617633839169<86>
- (89·10110-17)/9 =
- 9(8)1097<111>
- = 3 · 74 · 251 · 6100898379212521<16> · 192743239140797545369159<24> · 465143992833020169154557973501429486484288874576404395002595095961<66>
- (89·10111-17)/9 =
- 9(8)1107<112>
- = 587 · 619 · 7019 · 9391 · 1182437 · 288824493719<12> · 245915326814666237<18> · 4916250856694660867528905936473123084073579689933632984949638341<64>
- (89·10112-17)/9 =
- 9(8)1117<113>
- = 61 · 67338961 · 1672744162587464627<19> · 183471580925896387917542782001<30> · 78442770649935712864617634932871707165938804455103992561<56> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1276000195 for P30 / Oct 21, 2010)
- (89·10113-17)/9 =
- 9(8)1127<114>
- = 3 · 19651504377839<14> · 13365940880601425819<20> · 1254962949329832692259826829121551513222046471630744114294734447460748163354548969<82>
- (89·10114-17)/9 =
- 9(8)1137<115>
- = 853 · 1531 · 5557 · 9463 · 135221 · 54568627543<11> · 19514923993904075580164329570057374337775763198743139780083098978531033266123312698233<86>
- (89·10115-17)/9 =
- 9(8)1147<116>
- = 4345811 · 170138861 · 216868637 · 3838587953<10> · 3403396887976511<16> · 47205466942334310405910731402827415597147818523221465934614342348507<68>
- (89·10116-17)/9 =
- 9(8)1157<117>
- = 32 · 7 · 31 · 313 · 2467 · 11609845334821<14> · 4010260213684971531407856277<28> · 877243681109287930297855509604127<33> · 16055082091802743820372146960584611<35> (Makoto Kamada / Msieve 1.48 for P33 x P35 / Oct 23, 2010)
- (89·10117-17)/9 =
- 9(8)1167<118>
- = 550369 · 285219122785785181915782901097<30> · 2651377580706813493606595399737723<34> · 23759829167888143574359813607706896886552068752333<50> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1542373506 for P30 / Oct 21, 2010) (Makoto Kamada / Msieve 1.48 for P34 x P50 / Oct 23, 2010)
- (89·10118-17)/9 =
- 9(8)1177<119>
- = 23 · 1931 · 342497 · 25278521 · 128330491 · 502287589 · 3248281337209206949639385003863553081<37> · 1228267653709247576569111696457976693170559264533<49> (Makoto Kamada / Msieve 1.48 for P37 x P49 / Oct 23, 2010)
- (89·10119-17)/9 =
- 9(8)1187<120>
- = 3 · 139 · 167 · 22027448426585476346201819<26> · 176141493525888102164708154437981<33> · 3659899024715297111814553074382509240919877606643764188447<58> (Sinkiti Sibata / Msieve 1.42 for P33 x P58 / Oct 23, 2010)
- (89·10120-17)/9 =
- 9(8)1197<121>
- = 90841 · 966927236022596903<18> · 112582735647517731999100491840424655425313604756957705617574376698350325885235616543731121701978969<99>
- (89·10121-17)/9 =
- 9(8)1207<122>
- = 19 · 2243 · 20389 · 32508479861633<14> · 74116707172224023<17> · 1296733670122854757<19> · 381056310613994236593748483<27> · 95590772806559206671443784626794618331<38>
- (89·10122-17)/9 =
- 9(8)1217<123>
- = 3 · 7 · 1187 · 26096407 · 522820253819<12> · 2907664960359046990376964386259411946957211909779836130701138488590492272190045053584061308024732557<100>
- (89·10123-17)/9 =
- 9(8)1227<124>
- = 916339 · 1228313137837124667161209971196407515275428379406977900679<58> · 8785818543055398637090421946426396256595286138797665255066027<61> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10124-17)/9 =
- 9(8)1237<125>
- = 67 · 7927 · 3532183 · 423165913 · 12069915067697968369081215305272597549448175859579<50> · 10320619081848397529934017781257761668370663917963603823<56> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 23, 2010)
- (89·10125-17)/9 =
- 9(8)1247<126>
- = 33 · 233 · 2671 · 77866966424868785248589<23> · 8407921351436155177404970304797<31> · 89890133993451438991172259027128567299919583586206692457741926299<65> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10126-17)/9 =
- 9(8)1257<127>
- = 157 · 264359205027521<15> · 238261245436322587250619697540453944856471424456799531784581113932757243853126471909580522380075470470456535971<111>
- (89·10127-17)/9 =
- 9(8)1267<128>
- = 9377 · 385573 · 28293595358462634625962403<26> · 24504718221438859524736914857506627<35> · 39449283120945566398182967562205429780903977632526147800787<59> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10128-17)/9 =
- 9(8)1277<129>
- = 3 · 7 · 163 · 17471 · 10514029 · 108478927 · 852607799 · 344194392302925905303<21> · 2990945262649543948733<22> · 481141345646614917974614259<27> · 34330019340219167226001273387<29>
- (89·10129-17)/9 =
- 9(8)1287<130>
- = definitely prime number
- (89·10130-17)/9 =
- 9(8)1297<131>
- = 971 · 9619 · 1455439066487893024471<22> · 332429171550761341620199514448044075776339<42> · 21882915700220116129025996193340924857575555228325064001586827<62> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10131-17)/9 =
- 9(8)1307<132>
- = 3 · 31 · 7559 · 7336986965203609525107103237<28> · 459288547204822360877938379521<30> · 1378265418302661309351584501201<31> · 302875385745652983889574511100870116913<39> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1760564436 for P30 / Oct 21, 2010) (Makoto Kamada / Msieve 1.48 for P31 x P39 / Oct 23, 2010)
- (89·10132-17)/9 =
- 9(8)1317<133>
- = 1255589072251<13> · 11126745879564338119666187<26> · 2016352300829653410514171711<28> · 6667385940731354135449249586087<31> · 52651383860879478301274019165798515543<38>
- (89·10133-17)/9 =
- 9(8)1327<134>
- = 491 · 17129392608269023<17> · 322319555519081786801<21> · 36478534793692219912819819255457982870506799229650589844849311295784085032417059185373242550059<95>
- (89·10134-17)/9 =
- 9(8)1337<135>
- = 32 · 7 · 197 · 30384031331<11> · 86471760546128803827565427<26> · 21863449779878675729817485939499746595827<41> · 1387082638470257366250186330407713428953006715358931183<55> (Sinkiti Sibata / Msieve 1.40 gnfs for P41 x P55 / Oct 23, 2010)
- (89·10135-17)/9 =
- 9(8)1347<136>
- = 505203340218178307<18> · 19574076617581843365043065371588022169500083492062609158981452665335945130460251498100105763828073854016756691174186941<119>
- (89·10136-17)/9 =
- 9(8)1357<137>
- = 29 · 165203 · 5537106060061777<16> · 424573325773335943<18> · 8780030442631238411515122260314247136443994719013907289498271918458751030089975796185801432466391<97>
- (89·10137-17)/9 =
- 9(8)1367<138>
- = 3 · 131 · 241 · 27710152430394345707<20> · 376789671492118030087140552363568895514876222850154003312178676072828642030326243809034438981111535199017045351757<114>
- (89·10138-17)/9 =
- 9(8)1377<139>
- = 8850121010203166279<19> · 246039436499959157311<21> · 5532992804592227975793715371496485918440615341<46> · 820792650611688108970202751481249895750860846450361803<54> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10139-17)/9 =
- 9(8)1387<140>
- = 19 · 7517 · 47672237 · 2891012967012670412687<22> · 1772483090475788393604082589<28> · 2834338227078778261564008241542078662467951499416275403500974742484461809620759<79>
- (89·10140-17)/9 =
- 9(8)1397<141>
- = 3 · 7 · 23 · 47 · 34238929 · 964407340151<12> · 98866718344261653829213128875999<32> · 13343559944190694005420201731281170827826547856630502146295519424475033441598098563147<86> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10141-17)/9 =
- 9(8)1407<142>
- = 149 · 66368381804623415361670395227442207307979120059656972408650260999254287844891871737509321401938851603281133482475764354958985831469052945563<140>
- (89·10142-17)/9 =
- 9(8)1417<143>
- = 3881 · 71147 · 25261141 · 2902063988786705754615060961549350950189935104919<49> · 4885255868552087981873678729840799994667899302816952679172455841843050043620479<79> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10143-17)/9 =
- 9(8)1427<144>
- = 32 · 26203 · 726091 · 1558437814088783<16> · 118773659558454923166061<24> · 31199907182941717395423952540478466916615972094409522131339107860397533677027486773204818739757<95>
- (89·10144-17)/9 =
- 9(8)1437<145>
- = 157931 · 28179191 · 21616757741<11> · 272700357617<12> · 15432558634918245092426014409507322603973923421039<50> · 24425158608453942913046521262292085993595551992422429155315409<62> (Dmitry Domanov / Msieve 1.40 snfs / Oct 23, 2010)
- (89·10145-17)/9 =
- 9(8)1447<146>
- = 229 · 29264281 · 1772317678319<13> · 8325926776337041551430565353230336148924968875796582435613058653491785698068131912427418404932806482109786416330269806430477<124>
- (89·10146-17)/9 =
- 9(8)1457<147>
- = 3 · 7 · 31 · 68567 · 16676027 · 1431870800976689<16> · 27954127616192978093469131<26> · 33190133122357225205407534386327642067668242923234117160285959946910700186881840610208024027<92>
- (89·10147-17)/9 =
- 9(8)1467<148>
- = 65447 · 7035307 · 6213342778561<13> · 3456602074996489913237891124763627127894143453885250196794632683217132851559617068888008715780126934404296431588785247275923<124>
- (89·10148-17)/9 =
- 9(8)1477<149>
- = 36469 · 37644451301<11> · 409685007044015878489<21> · 619608165103391941369<21> · 283762804766188832406840954910998968820233938709376107015298215775148199935687141603688590703<93>
- (89·10149-17)/9 =
- 9(8)1487<150>
- = 3 · 39635213 · 118927815195451<15> · 8266019326692889<16> · 19378088008447874659<20> · 101106559998789004566686129323159<33> · 4317923370211062672731665896440290257123416766227581704317087<61> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=3019114725 for P33 / Oct 21, 2010)
- (89·10150-17)/9 =
- 9(8)1497<151>
- = 281419 · 3206939 · 202787554537<12> · 334490279157922579<18> · 161539443937950956126427800637631623796838686243726445323278879933091373067340374478723447893556872888530624509<111>
- (89·10151-17)/9 =
- 9(8)1507<152>
- = 431 · 21601673384939<14> · 91634082142016049401111033<26> · 2402271417662818627104023759361083392760404421719<49> · 48250711701660645665003097785828805467765807736683128693736309<62> (Dmitry Domanov / Msieve 1.40 gnfs for P49 x P62 / Oct 24, 2010)
- (89·10152-17)/9 =
- 9(8)1517<153>
- = 34 · 72 · 532443274201<12> · 27722064544421290403254571413563161839260918415805348553274803912899<68> · 16879807227239251267926832990586069885182745854246842032397033581729477<71> (Dmitry Domanov / Msieve 1.40 snfs / Oct 24, 2010)
- (89·10153-17)/9 =
- 9(8)1527<154>
- = 9214130083741411<16> · 35999904647204227<17> · 20043363490673557126544273015582478146625016329818519272439<59> · 1487377491153818819507501196562878243200420890338900273572585689<64> (Dmitry Domanov / Msieve 1.40 snfs / Oct 24, 2010)
- (89·10154-17)/9 =
- 9(8)1537<155>
- = 7933 · 78617635634474672926219829211424476983338411<44> · 158558695573968503667683653168045225918671686282526011203562142335455567679121624358825026655218956289365449<108> (Dmitry Domanov / Msieve 1.40 snfs / Oct 24, 2010)
- (89·10155-17)/9 =
- 9(8)1547<156>
- = 3 · 59 · 1997 · 2957 · 3493647640103<13> · 90119224928417094675314454269<29> · 68363539464898656373310405371937721214240759<44> · 43956565566143245294484391417911808545729859989069001825079003<62> (Sinkiti Sibata / Msieve 1.42 gnfs for P44 x P62 / Oct 23, 2010)
- (89·10156-17)/9 =
- 9(8)1557<157>
- = 346139 · 2832671767132705160763235796182621576828230091206259764473789081731388282147<76> · 10085576050196501699474066408313374889155297399319700250853715647899727944039<77> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 24, 2010)
- (89·10157-17)/9 =
- 9(8)1567<158>
- = 19 · 67 · 1439 · 53983159559116503118922534954550728793883380483680617916719512540560914142332241114508410849207869919752516934486826077117187673909932919555448074478321<152>
- (89·10158-17)/9 =
- 9(8)1577<159>
- = 3 · 7 · 439 · 25163 · 11796598472803<14> · 78326226259730554833786032278796309<35> · 973144063591318089504048954869616888040291<42> · 4740892707043398632361455933842920364199500187921686858295203<61> (Dmitry Domanov / Msieve 1.40 snfs / Oct 24, 2010)
- (89·10159-17)/9 =
- 9(8)1587<160>
- = 12243444403<11> · 97713009204324086331578214132680807303066199892222282065095665400794381<71> · 8265925668611131237646075405465471130946854607711923931305670479099073362551009<79> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 25, 2010)
- (89·10160-17)/9 =
- 9(8)1597<161>
- = 251 · 417419 · 3210464431<10> · 280634823483295849419577992225956240809<39> · 1047591916993725004392951659192152698379679997537341285579522107295128808489417367626238236409855279320137<106> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 25, 2010)
- (89·10161-17)/9 =
- 9(8)1607<162>
- = 32 · 31 · 6143 · 58684897 · 10378864722596542000024872653305393313874001309720035464550451813365987781<74> · 947297913014225391812790366911118076134535481841834066029532236818958326003<75> (Sinkiti Sibata / Msieve 1.42 snfs / Oct 25, 2010)
- (89·10162-17)/9 =
- 9(8)1617<163>
- = 23 · 4185970554206969329300728535268818909749522292624375599963048367<64> · 102712545454756606012140960515722492528111770984550240841924434561013287242558240323424528584989807<99> (Dmitry Domanov / Msieve 1.40 snfs / Oct 25, 2010)
- (89·10163-17)/9 =
- 9(8)1627<164>
- = 416531 · 487539033213961681911443<24> · 5733704701011401404054651527985659956080546482141300760227233927<64> · 84928891254889433498099283841428581639936913635905414315097708614732457<71> (Sinkiti Sibata / Msieve 1.40 snfs / Oct 26, 2010)
- (89·10164-17)/9 =
- 9(8)1637<165>
- = 3 · 7 · 29 · 87299724132413732587<20> · 1826573553769057253755310783<28> · 10183103733149150459805205439761039208113690996363125759838027377160365574334701278719207125703181336066640709677883<116>
- (89·10165-17)/9 =
- 9(8)1647<166>
- = 139 · 191876371 · 116253386914309<15> · 3189375006413180812489899623297294068231871540182055738841871634138518054261110976267288076761767037049761586731571374213165233439466598792347<142>
- (89·10166-17)/9 =
- 9(8)1657<167>
- = 835547189 · 854344046875502222918819151078101651285951841026706200984511913987651871560387<78> · 138529962657558935860246117868355596367594720596521901668712686445553810973287209<81> (Ignacio Santos / GGNFS, Msieve snfs / Nov 6, 2010)
- (89·10167-17)/9 =
- 9(8)1667<168>
- = 3 · 241 · 1741 · 43331 · 5271499127<10> · 336219509175587<15> · 10229506159242806791161932450952112429172821819957451194175081514910481990401861437672378890955303568094834299911767295354153895006511<134>
- (89·10168-17)/9 =
- 9(8)1677<169>
- = 769 · 12859413379569426383470596734575928334055772287241728073977748880219621441988152001155902326253431585031064875018060973847709868516110388672157202716370466695564224823<167>
- (89·10169-17)/9 =
- 9(8)1687<170>
- = 543627523 · 3420471491<10> · 1674744171296029418837007731<28> · 1877218803380947486105827551257<31> · 16915962559652330673147840815500833389469232929046247176804223130236887571115838480910654408077<95> (Serge Batalov / GMP-ECM B1=1500000, sigma=2671997876 for P31 / Oct 23, 2010)
- (89·10170-17)/9 =
- 9(8)1697<171>
- = 32 · 7 · 3137 · 2949715499199574737001<22> · 1473005998106423701815234797771<31> · 14668450770509032692659194615718248570343<41> · 78509739425882692723520552891761346107501029626063305504097758045878943109<74> (Makoto Kamada / GMP-ECM 6.3 B1=1e6, sigma=1146633622 for P31 / Oct 22, 2010) (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=3166787474 for P41 / Oct 23, 2010)
- (89·10171-17)/9 =
- 9(8)1707<172>
- = 94169 · 167055643891<12> · 2195155877258085783946890974834350396884699758659<49> · 286360440103242173109253063248129885317896679081127676830404983378378615080380324116391696580036127930059367<108> (Sinkiti Sibata / Msieve 1.42 snfs / Apr 20, 2011)
- (89·10172-17)/9 =
- 9(8)1717<173>
- = 61 · 337 · 911579851822931855141<21> · 1196956415272376315522071559879430942491706885952012753151<58> · 4408742226714726414193333214422059877771167427541643604887531358921413684520647135893567401<91> (Warut Roonguthai / Msieve 1.47 snfs / Sep 28, 2011)
- (89·10173-17)/9 =
- 9(8)1727<174>
- = 3 · 24023 · 3127780753<10> · 583961829443<12> · 202581280189113623681951<24> · 37083347137283315192632624719396888814322319258128618124449636214692615907823755803518036149627227455555466958414376751680087<125>
- (89·10174-17)/9 =
- 9(8)1737<175>
- = 379 · 1217 · 8243 · 852199 · 56340478447864206165208064105515007<35> · 3006079176317670145532905071572826784217398231<46> · 18020649635162189586856573575932648107594308506589037791859546499307499724263561<80> (Wataru Sakai / GMP-ECM 6.2.3 B1=3000000, sigma=1983138068 for P35 / Dec 2, 2010) (Wataru Sakai / GMP-ECM 6.2.3 B1=3000000, sigma=2858658845 for P46 / Dec 3, 2010)
- (89·10175-17)/9 =
- 9(8)1747<176>
- = 19 · 822587 · 6047012934192411009841594872820105721963867612841502736752307901371<67> · 1046335973925999782500933331961061345294456244334641897217746358051798513759993213872141487035016526549<103> (Robert Backstrom / Msieve 1.44 for P67 x P103 / Oct 25, 2010)
- (89·10176-17)/9 =
- 9(8)1757<177>
- = 3 · 7 · 31 · 179 · 523 · 2516526013<10> · 52957894589<11> · 6607350443539<13> · 18426901410587964409449493171903822543247058854609375439635134808776007390034599958029461208599564019220522959759063577282459818208828607<137>
- (89·10177-17)/9 =
- 9(8)1767<178>
- = 2849171406307<13> · 6021337272793165807444184169932993<34> · 3821395850994380241755985540535208099<37> · 64907455826852775575616699745595718691<38> · 2323910251744753552086175570098737587944748102768952072693<58> (Serge Batalov / GMP-ECM B1=2000000, sigma=141892077 for P37 / Oct 23, 2010) (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=747245531 for P34 / Nov 9, 2010) (Erik Branger / GMP-ECM B1=1000000, sigma=3461395089 for P38 / Nov 9, 2010)
- (89·10178-17)/9 =
- 9(8)1777<179>
- = 121403 · 8835214577255706324023<22> · 92193643133667558249188355238315012280914075329891499609291049566244323961858748084882934734352652024767786470377279354575617339204108890119950634670323<152>
- (89·10179-17)/9 =
- 9(8)1787<180>
- = 33 · 2011 · 18212587967823063684713499620400554153800189492769193305134517356187061695653330550286183194078657916439009317068878370607747921411659739744164298007051750352485199714328395471<176>
- (89·10180-17)/9 =
- 9(8)1797<181>
- = 263 · 24110987 · 10804471394271308773612723606220693552828600533<47> · 144335524861988953783061412336240739143143278228724473134608215942230953947831061348691852820152710683815099813114451521147719<126> (Robert Backstrom / Msieve 1.44 snfs / Jan 21, 2012)
- (89·10181-17)/9 =
- 9(8)1807<182>
- = 13649 · 412483114904477<15> · 17564689952526881930610801253520458455410732702006468623347622492425572199090489045097646443088171410143410182178087991699316086621527907130382429851638533713068019<164>
- (89·10182-17)/9 =
- 9(8)1817<183>
- = 3 · 7 · 397 · 1498927462352291033<19> · [79132899540683799632483788444316371253114251893500927350479991126876694311738051850402161818543284276391004938920071891175009018196186691058105129868439522185247<161>] SUBMIT/RESERVE
- (89·10183-17)/9 =
- 9(8)1827<184>
- = 31321 · 5501710499<10> · 98342778493<11> · 446192794162463<15> · 1307823440383186805900627298950251127441968472646123782950498616767796336985823830239154734800882074581977226808338317354273680777888681389679767<145>
- (89·10184-17)/9 =
- 9(8)1837<185>
- = 23 · 3812333363<10> · 1127791433440958606555475550549544440780491982121336087923222852936614902453957450621422329679853556200152963208478777799402429609809098826415567205576107282817305612750539163<175>
- (89·10185-17)/9 =
- 9(8)1847<186>
- = 3 · 1107518282630359<16> · 1945615222380549950716566346757<31> · [152974267677653433202845593914566296445929631551120029911461991489803219854806789377846681003102433331235463003108932835006616842170539535183<141>] (Serge Batalov / GMP-ECM B1=1500000, sigma=3089323198 for P31 / Oct 23, 2010) SUBMIT/RESERVE
- (89·10186-17)/9 =
- 9(8)1857<187>
- = 47 · 210401891252955082742316784869976359338061465721040189125295508274231678486997635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721<186>
- (89·10187-17)/9 =
- 9(8)1867<188>
- = 593 · 37967 · 5784083 · 398360805168025160009<21> · 142808978329457126419817539651433<33> · 13348113521677689128278432392002992442148175859042726153962065442306177776180996667924114020714382692185107296898847798627<122> (Serge Batalov / GMP-ECM B1=12000000, sigma=183556210 for P33 / Oct 23, 2010)
- (89·10188-17)/9 =
- 9(8)1877<189>
- = 32 · 7 · 1486825005504749<16> · 10557159700615640045662673888494479774472819589348365916668620112364732514436467025958492688123123006089681079513381330830566440696396177173048042506340686391220842147033101<173>
- (89·10189-17)/9 =
- 9(8)1887<190>
- = 4903 · 26261 · 1766640312326847439<19> · 62148241822910671680460798649<29> · 699515530592862200266637723861447333306909537239279406514760282330434674668415800759889701338204267579997432829663791352273978910572699<135>
- (89·10190-17)/9 =
- 9(8)1897<191>
- = 67 · 1066619 · 10654789 · 221447032845448620317566571650617133<36> · 586473859844907775771768955969513804379631666148911704853453187739043388463985435452853610063245862402735416918800799197139939319860518004487<141> (Serge Batalov / GMP-ECM B1=2000000, sigma=2336892952 for P36 / Oct 23, 2010)
- (89·10191-17)/9 =
- 9(8)1907<192>
- = 3 · 31 · 4600411 · 2311361715077263886468808769544858755850079549551814796334568940299868646586279620203286252170341706212838512301152879668932452743683186270360161085674874095783837642035290729245780569<184>
- (89·10192-17)/9 =
- 9(8)1917<193>
- = 29 · 2087 · 2213 · 197971 · 713714971 · 19378503678739<14> · 17775598433940220511621<23> · 405531589970564876882758806473<30> · 679469330189234262655433671924154940839<39> · 5505290413450598431247963500606172833582108035012422791983266809601<67> (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=491222100 for P30 / Oct 23, 2010) (Dmitry Domanov / Msieve 1.40 gnfs for P39 x P67 / Oct 24, 2010)
- (89·10193-17)/9 =
- 9(8)1927<194>
- = 192 · 97 · 5630052639521<13> · 964663714836977<15> · 519972244919064148899105872873394385127361953930247740685891993236485911798434341989847300858348259123265686593106183918703624332846977001918348504618774034727183<162>
- (89·10194-17)/9 =
- 9(8)1937<195>
- = 3 · 72 · 27389911 · 137194019 · 11972817347<11> · 1018243856523763<16> · 845461843731762939193<21> · 173684952725683935579477616344807606979759269521645823357930885620920661709178674908271129671951517810306859291296130518134195552953<132>
- (89·10195-17)/9 =
- 9(8)1947<196>
- = 181757 · 11166699664848075833<20> · [4872271892645152307367923010984797922211320891055229145596079346190862595195534454026219440716368029224804603535522806935586052423291422989818281628774716815042579458171227<172>] SUBMIT/RESERVE
- (89·10196-17)/9 =
- 9(8)1957<197>
- = 409 · 3714773 · 6258047947040378532678690725257423010705224996205132931214902073430247795937414390813<85> · 10400471365474901039817609195013381480965660640074660843754673993438467866277566305234377471571046327407<104> (matsui / Msieve 1.49 snfs / May 7, 2011)
- (89·10197-17)/9 =
- 9(8)1967<198>
- = 32 · 109 · 241 · 307 · 5411303640389<13> · 490147337722633<15> · [5136822034731983474592206507378127696084023672910693923186021850511216218309347501848823250576302049466824888741613841894377028278934189074894178286459437754473933<163>] SUBMIT/RESERVE
- (89·10198-17)/9 =
- 9(8)1977<199>
- = 509 · 741347 · 794266851674897<15> · 32994514520294699575553728916814683154050489394209194940884995219517911024605317167171799687634470758448959476380111097268752753333252531632077695800268361301944659951193992977<176>
- (89·10199-17)/9 =
- 9(8)1987<200>
- = 3546904113057978054707599<25> · [27880338948219105993092471963977436888991444502835614307104902937280619515476975710380666235637748610779390902531472268705202584018664419284847631552167203202723381805131549913<176>] SUBMIT/RESERVE
- (89·10200-17)/9 =
- 9(8)1997<201>
- = 3 · 7 · 3727 · 4057 · 3481657 · 160254402661597<15> · 93000826918873127594233<23> · [60017933556426820041880539889774229251055358608079784624453167703756059898634393672844488809653751049084943686533694524534998890966417209887453970289<149>] SUBMIT/RESERVE
4. References
- A103109 - OEIS (The OEIS Foundation Inc.)