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Factorizations of 388...889

Table of contents

  1. About 388...889
  2. Prime numbers of the form 388...889
  3. Factorizations of 388...889
  4. References

1. About 388...889

First ten terms

39, 389, 3889, 38889, 388889, 3888889, 38888889, 388888889, 3888888889, 38888888889

General term

(35·10n+1)/9

2. Prime numbers of the form 388...889

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

23.92%

Results

  1. (35·102+1)/9 = 389 is prime.
  2. (35·103+1)/9 = 3889 is prime.
  3. (35·106+1)/9 = 3888889 is prime.
  4. (35·1017+1)/9 = 3(8)169<18> is prime.
  5. (35·1020+1)/9 = 3(8)199<21> is prime.
  6. (35·1045+1)/9 = 3(8)449<46> is prime.
  7. (35·1057+1)/9 = 3(8)569<58> is prime.
  8. (35·1078+1)/9 = 3(8)779<79> is prime.
  9. (35·10119+1)/9 = 3(8)1189<120> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PPSIQS / Jan 2, 2005)
  10. (35·10137+1)/9 = 3(8)1369<138> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PPSIQS / Jan 2, 2005)
  11. (35·10509+1)/9 = 3(8)5089<510> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
  12. (35·10710+1)/9 = 3(8)7099<711> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 29, 2006)
  13. (35·101127+1)/9 = 3(8)11269<1128> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 13, 2006)
  14. (35·101518+1)/9 = 3(8)15179<1519> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 26, 2006)
  15. (35·101761+1)/9 = 3(8)17609<1762> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 2, 2006)
  16. (35·103086+1)/9 = 3(8)30859<3087> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
  17. (35·103147+1)/9 = 3(8)31469<3148> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
  18. (35·109926+1)/9 = 3(8)99259<9927> is PRP. (Makoto Kamada / PFGW / Jan 4, 2005)

3. Factorizations of 388...889

Last update

Nov 6, 2009

Completed up to

Range

n≤205

Terms which have not been factored yet

n=172, 175, 176, 181, 182, 185, 186, 195, 196, 197, 200, 201, 202, 205 (14/205)

Results

(35·101+1)/9 =
39
= 3 · 13
(35·102+1)/9 =
389
= definitely prime number
(35·103+1)/9 =
3889
= definitely prime number
(35·104+1)/9 =
38889
= 32 · 29 · 149
(35·105+1)/9 =
388889
= 157 · 2477
(35·106+1)/9 =
3888889
= definitely prime number
(35·107+1)/9 =
38888889
= 3 · 13 · 997151
(35·108+1)/9 =
388888889
= 17 · 22875817
(35·109+1)/9 =
3888888889<10>
= 59 · 83 · 794137
(35·1010+1)/9 =
38888888889<11>
= 3 · 563 · 659 · 34939
(35·1011+1)/9 =
388888888889<12>
= 1571 · 2713 · 91243
(35·1012+1)/9 =
3888888888889<13>
= 22147 · 175594387
(35·1013+1)/9 =
38888888888889<14>
= 34 · 13 · 19 · 16981 · 114467
(35·1014+1)/9 =
388888888888889<15>
= 472 · 176047482521<12>
(35·1015+1)/9 =
3888888888888889<16>
= 509 · 677 · 10771 · 1047763
(35·1016+1)/9 =
38888888888888889<17>
= 3 · 173 · 5557 · 13483970083<11>
(35·1017+1)/9 =
388888888888888889<18>
= definitely prime number
(35·1018+1)/9 =
3888888888888888889<19>
= 577 · 6653 · 14243 · 71126383
(35·1019+1)/9 =
38888888888888888889<20>
= 3 · 13 · 23 · 27241 · 1591512469457<13>
(35·1020+1)/9 =
388888888888888888889<21>
= definitely prime number
(35·1021+1)/9 =
3888888888888888888889<22>
= 853 · 7627091 · 597747234743<12>
(35·1022+1)/9 =
38888888888888888888889<23>
= 32 · 449 · 4019 · 10177 · 235287526283<12>
(35·1023+1)/9 =
388888888888888888888889<24>
= 307337 · 1265350051861275697<19>
(35·1024+1)/9 =
3888888888888888888888889<25>
= 17 · 911 · 15823 · 15869725269287689<17>
(35·1025+1)/9 =
38888888888888888888888889<26>
= 3 · 13 · 359 · 2777579379250688442889<22>
(35·1026+1)/9 =
388888888888888888888888889<27>
= 22573 · 17228055149465684175293<23>
(35·1027+1)/9 =
3888888888888888888888888889<28>
= 181 · 1423 · 2710571 · 73508693 · 75777901
(35·1028+1)/9 =
38888888888888888888888888889<29>
= 3 · 36761 · 352628137508853485023883<24>
(35·1029+1)/9 =
388888888888888888888888888889<30>
= 71 · 148062451 · 36993229932481008709<20>
(35·1030+1)/9 =
3888888888888888888888888888889<31>
= 23974298520577<14> · 162210747711808057<18>
(35·1031+1)/9 =
38888888888888888888888888888889<32>
= 32 · 13 · 19 · 191 · 91590979806282460824575273<26>
(35·1032+1)/9 =
388888888888888888888888888888889<33>
= 29 · 974075801768653<15> · 13766856400164097<17>
(35·1033+1)/9 =
3888888888888888888888888888888889<34>
= 523 · 33247 · 223651277203112211040872469<27>
(35·1034+1)/9 =
38888888888888888888888888888888889<35>
= 3 · 1759 · 7369507085254669109131872065357<31>
(35·1035+1)/9 =
388888888888888888888888888888888889<36>
= 113 · 797 · 19571 · 214213 · 1029982698744571972963<22>
(35·1036+1)/9 =
3888888888888888888888888888888888889<37>
= 1123 · 3462946472741664193133471851192243<34>
(35·1037+1)/9 =
38888888888888888888888888888888888889<38>
= 3 · 13 · 4931 · 202220847120461803081961264885621<33>
(35·1038+1)/9 =
388888888888888888888888888888888888889<39>
= 1193459 · 91020654427<11> · 3579959201758030342873<22>
(35·1039+1)/9 =
3888888888888888888888888888888888888889<40>
= 2037867355744537<16> · 1908313059692778290942497<25>
(35·1040+1)/9 =
38888888888888888888888888888888888888889<41>
= 33 · 17 · 14212978037<11> · 5961118627171557234036605183<28>
(35·1041+1)/9 =
388888888888888888888888888888888888888889<42>
= 23 · 116838383 · 58401438141269<14> · 2477927635438981309<19>
(35·1042+1)/9 =
3888888888888888888888888888888888888888889<43>
= 42477959413352456857<20> · 91550746377578144623777<23>
(35·1043+1)/9 =
38888888888888888888888888888888888888888889<44>
= 3 · 132 · 1481 · 1530911 · 33830823818366271776524879383197<32>
(35·1044+1)/9 =
388888888888888888888888888888888888888888889<45>
= 33617 · 22533793279391948129<20> · 513372114567243467273<21>
(35·1045+1)/9 =
3888888888888888888888888888888888888888888889<46>
= definitely prime number
(35·1046+1)/9 =
38888888888888888888888888888888888888888888889<47>
= 3 · 12962962962962962962962962962962962962962962963<47>
(35·1047+1)/9 =
388888888888888888888888888888888888888888888889<48>
= 269 · 3761 · 384388088757625847836570485079097733527021<42>
(35·1048+1)/9 =
3888888888888888888888888888888888888888888888889<49>
= 4103797 · 947631885516970963448944694118371081437237<42>
(35·1049+1)/9 =
38888888888888888888888888888888888888888888888889<50>
= 32 · 13 · 192 · 54011 · 849652889 · 20063593242464858380319481201743<32>
(35·1050+1)/9 =
388888888888888888888888888888888888888888888888889<51>
= 83 · 182641 · 25653650055935585062677034464733329904539763<44>
(35·1051+1)/9 =
3888888888888888888888888888888888888888888888888889<52>
= 1439 · 371016952109<12> · 7284017618451433227408815491187784739<37>
(35·1052+1)/9 =
38888888888888888888888888888888888888888888888888889<53>
= 3 · 14408341203229<14> · 899684618799690926868025651704174532847<39>
(35·1053+1)/9 =
388888888888888888888888888888888888888888888888888889<54>
= 61 · 151 · 1259 · 297996878653308803<18> · 112533365503087649712411935387<30>
(35·1054+1)/9 =
3888888888888888888888888888888888888888888888888888889<55>
= 293 · 449 · 29560486244661165037883874585836473079265176987077<50>
(35·1055+1)/9 =
38888888888888888888888888888888888888888888888888888889<56>
= 3 · 13 · 312828398625419623<18> · 3187533489710391182461010987351945737<37>
(35·1056+1)/9 =
388888888888888888888888888888888888888888888888888888889<57>
= 17 · 887681 · 2580711567862520875283069<25> · 9985739232661094755226653<25>
(35·1057+1)/9 =
3888888888888888888888888888888888888888888888888888888889<58>
= definitely prime number
(35·1058+1)/9 =
38888888888888888888888888888888888888888888888888888888889<59>
= 32 · 109 · 3719 · 10659340836717445634544621234180510333302055781792451<53>
(35·1059+1)/9 =
388888888888888888888888888888888888888888888888888888888889<60>
= 173 · 349 · 1109 · 79367 · 110219400560125721170793<24> · 663933296547372151129283<24>
(35·1060+1)/9 =
3888888888888888888888888888888888888888888888888888888888889<61>
= 29 · 47 · 4442221494341092453581911047<28> · 642287499856536894781250958949<30>
(35·1061+1)/9 =
38888888888888888888888888888888888888888888888888888888888889<62>
= 3 · 13 · 1103 · 31277231085091<14> · 28903944632177004293237169153915018269128987<44>
(35·1062+1)/9 =
388888888888888888888888888888888888888888888888888888888888889<63>
= 2381 · 16273 · 477019 · 2503826121297910920503<22> · 8403470338848991147991124929<28>
(35·1063+1)/9 =
3888888888888888888888888888888888888888888888888888888888888889<64>
= 23 · 10847 · 61627 · 80473 · 3143162540299393308224448217040323290141214340539<49>
(35·1064+1)/9 =
38888888888888888888888888888888888888888888888888888888888888889<65>
= 3 · 71 · 7146768039889<13> · 25546784521519060676754729872050099936954671214277<50>
(35·1065+1)/9 =
388888888888888888888888888888888888888888888888888888888888888889<66>
= 403653881 · 1176294811<10> · 223185549094127<15> · 838426071795469<15> · 4376927724399657233<19>
(35·1066+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888889<67>
= 397 · 1901 · 5152914201181254051478790678760997975199171175834658000348337<61>
(35·1067+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888889<68>
= 33 · 13 · 19 · 59 · 234103 · 3268556447456625487<19> · 129166483756012857825038564753751381119<39>
(35·1068+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888889<69>
= 2663 · 30181225037<11> · 114848520676825652039<21> · 42130062107775791913015976288435021<35>
(35·1069+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888889<70>
= 2857 · 20393 · 4130969342317<13> · 16157799078179198666690535957981829371496436895917<50>
(35·1070+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888889<71>
= 3 · 23078246692099<14> · 1765602471912977<16> · 318132867948341166524669167774788127166881<42>
(35·1071+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888889<72>
= 227 · 4198079 · 408083533302921852435824440471126296958070593516248939600622733<63>
(35·1072+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888889<73>
= 17 · 167 · 307 · 3931 · 1821548730363382651011685001407<31> · 623128950562161858732813522934129<33>
(35·1073+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888889<74>
= 3 · 13 · 569 · 2711 · 92237 · 7008320827443485828277463232676865865000264788356577626168197<61>
(35·1074+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888889<75>
= 4461317449112963<16> · 17331997352688293768827<23> · 5029372397281797291550149958433817289<37>
(35·1075+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888889<76>
= 21191 · 871005564401606719<18> · 210694478197619655446188842640158461668175881330104641<54>
(35·1076+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888889<77>
= 32 · 14081 · 1779558941185625640541<22> · 172439656884370411436580748620363345265587396166501<51>
(35·1077+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888889<78>
= 82003 · 338947881824959436757667343119<30> · 13991454669831224531113702722501916021963277<44> (Makoto Kamada / msieve 0.81 / 5.1 minutes)
(35·1078+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888889<79>
= definitely prime number
(35·1079+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888889<80>
= 3 · 13 · 3096625517<10> · 53388914347113160159<20> · 6031441919122115802061399537070352517807628234917<49>
(35·1080+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888889<81>
= 97 · 7643 · 140659 · 85572477592558230236746367081<29> · 43580108702405209902971085716134013387921<41>
(35·1081+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888889<82>
= 68217757 · 96705677 · 465201114301507<15> · 1267171461043049200068652246479230016556826975862443<52>
(35·1082+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888889<83>
= 3 · 383 · 227308831 · 1435332373<10> · 8887342316879353021862801<25> · 11672524903330042558497598132025395447<38>
(35·1083+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888889<84>
= 157 · 18408028411<11> · 106481262835450952640754502592321157<36> · 1263704155055091289617501013796919851<37> (Makoto Kamada / msieve 0.81 / 4.5 minutes)
(35·1084+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888889<85>
= 1307 · 4159 · 5301623 · 6636053551<10> · 20334912279295344596086956592539054912495145925042075785314061<62>
(35·1085+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888889<86>
= 32 · 13 · 19 · 23 · 233 · 3353293 · 973488471612773335126584912554788124522844439200311485504976871198582589<72>
(35·1086+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888889<87>
= 449 · 1657 · 9967 · 41478023 · 11156966039<11> · 113325610677999343249941915727420808593823475480975728458927<60>
(35·1087+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<88>
= 88993733 · 43698457832855363971403344647750520689910702913079159055940364799495363217192933<80>
(35·1088+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<89>
= 3 · 17 · 29 · 737147 · 8957567 · 7166814139<10> · 35688358980289<14> · 5177889154079489503<19> · 3006822031335932048044134609143<31>
(35·1089+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<90>
= 49196616277077143063354507<26> · 8744396583248029541014490372771<31> · 903983400640637350562110397790137<33>
(35·1090+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<91>
= 16119017813<11> · 398933302809421<15> · 590474772634138039<18> · 656855377663847865593<21> · 1559249306936742338909510359<28>
(35·1091+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<92>
= 3 · 13 · 83 · 1801 · 4597 · 44771 · 69254873 · 16115233855975383859281116271139<32> · 29040953721872029532557692391093520873<38>
(35·1092+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<93>
= 709 · 20981 · 2439267766642859257243<22> · 6128306037756620896520012947<28> · 1748852547278417582001463040231638321<37>
(35·1093+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<94>
= 193 · 39667 · 49620469 · 2897758091403457809344852339947<31> · 3532774181124489349033473555946059342957771252133<49> (Makoto Kamada / GGNFS-0.70.5 / 0.32 hours)
(35·1094+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<95>
= 34 · 9807316369<10> · 24090623109590310937<20> · 9222665790462397211043874543<28> · 220336185478153430664166325669135311<36>
(35·1095+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<96>
= 5659 · 54433195680823537693<20> · 1262472739555888185558320871219244051542094581625070456776595906600737847<73>
(35·1096+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<97>
= 4496313690997279<16> · 25338588384722118617199393679288336673<38> · 34133947450974421879682793470528524821050567<44> (Makoto Kamada / GGNFS-0.70.5 / 0.29 hours)
(35·1097+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<98>
= 3 · 13 · 778333421 · 15178770321851<14> · 84403150802860867085658304481478728526614955371181586205281338961656849281<74>
(35·1098+1)/9 =
388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<99>
= 31742492112627851<17> · 35341311296138071079<20> · 346658501312777122726425298720412521980308578259371212639076541<63>
(35·1099+1)/9 =
3888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<100>
= 71 · 11887 · 12963407 · 210482224778251<15> · 140828015852497602171593<24> · 11991438406530062096913793673412536444148514811957<50>
(35·10100+1)/9 =
38888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<101>
= 3 · 12962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962962963<101>
(35·10101+1)/9 =
3(8)1009<102>
= 148961 · 506078597 · 10738588658153813704579<23> · 4920687016062689446959408823<28> · 97625222312494436340905731735230992801<38>
(35·10102+1)/9 =
3(8)1019<103>
= 173 · 433 · 8269 · 15766901957467<14> · 9742259964282491<16> · 1926724412799189678439<22> · 21213526067901242311459050466715165290503823<44>
(35·10103+1)/9 =
3(8)1029<104>
= 32 · 13 · 19 · 7549 · 11351 · 167597 · 100755942974597228137872420680604757516957<42> · 12089980789218005875422642451041062453834791133<47> (Sinkiti Sibata / Msieve 1.39 for P42 x P47 / 1.54 hours / Dec 7, 2008)
(35·10104+1)/9 =
3(8)1039<105>
= 17 · 587 · 156052517 · 30709292989<11> · 6944972451328721219376352184621055703307<40> · 1170920445025306782041523698236118310551201<43> (Makoto Kamada / Msieve 1.39 for P40 x P43 / 37 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10105+1)/9 =
3(8)1049<106>
= 52882637 · 73538104555733271941202343765287061779632677714027174720672285856109801954257479423518325852186397<98>
(35·10106+1)/9 =
3(8)1059<107>
= 3 · 47 · 589270812408601<15> · 468049183513586093075134494080135158436197943720187501146661792626543439520597541714803429<90>
(35·10107+1)/9 =
3(8)1069<108>
= 23 · 15948174209489<14> · 20772044583119<14> · 27773495908941242371998260189083<32> · 1837709807402200552846077017391573923468285571331<49> (Makoto Kamada / Msieve 1.39 for P32 x P49 / 20 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10108+1)/9 =
3(8)1079<109>
= 434165947 · 1291865406702552878597671<25> · 54121150718196496864666003805036599<35> · 128110724322470564725425077304824438414203<42> (Makoto Kamada / Msieve 1.39 for P35 x P42 / 7.8 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10109+1)/9 =
3(8)1089<110>
= 3 · 13 · 131 · 7879904196779<13> · 1997509070272423438356929<25> · 483592920898916617605984497346955205539335571689171596066563658200031<69>
(35·10110+1)/9 =
3(8)1099<111>
= 1193 · 66905171 · 35217087107<11> · 80849420996075131<17> · 1711177497985405487601598242980026193201076232388260227092213639334682939<73>
(35·10111+1)/9 =
3(8)1109<112>
= 2309 · 21559903 · 19087047928763<14> · 82395787249172569<17> · 71435093435000828399215697267<29> · 695343518291176939509950650955613463174643<42>
(35·10112+1)/9 =
3(8)1119<113>
= 32 · 283 · 467 · 250453453 · 36104262471899527<17> · 13336498499815433565173<23> · 271114276471706266319697078374466708936793603640504451590647<60>
(35·10113+1)/9 =
3(8)1129<114>
= 61 · 6375227686703096539162112932604735883424408014571948998178506375227686703096539162112932604735883424408014571949<112>
(35·10114+1)/9 =
3(8)1139<115>
= 832687381 · 15259609591<11> · 690449786536111858913383994784646317701<39> · 443269683332469302110610036873532000388386015468986749559<57> (Serge Batalov / Msieve-1.39 snfs / 0.50 hours on Opteron-2.6GHz; Linux x86_64 / Dec 7, 2008)
(35·10115+1)/9 =
3(8)1149<116>
= 3 · 13 · 5384849 · 9260966999<10> · 19995444445726772487774446068797546149565184504501896629567745082202434974588504041573619258049001<98>
(35·10116+1)/9 =
3(8)1159<117>
= 29 · 1217 · 249083851 · 830455361077513<15> · 71461387560590832743287<23> · 1724187335734720957047469157189<31> · 432333808487090847150132654591438997<36> (Makoto Kamada / Msieve 1.39 for P31 x P36 / 1.3 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10117+1)/9 =
3(8)1169<118>
= 23671 · 27783859669<11> · 586508325901909<15> · 2220068530298034077903598290054113895052823<43> · 4541253968601200953821721286835487419928638673<46> (Sinkiti Sibata / Msieve 1.39 for P43 x P46 / 0.91 hours / Dec 7, 2008)
(35·10118+1)/9 =
3(8)1179<119>
= 3 · 449 · 87388643 · 2090588845492757479591352053<28> · 158028098642604385909015462747386204667066108621009485141870602673651178537235053<81>
(35·10119+1)/9 =
3(8)1189<120>
= definitely prime number
(35·10120+1)/9 =
3(8)1199<121>
= 17 · 181881354947198077<18> · 19156490385171207353<20> · 65655707661755645308329737431237186890650695045372506166183848421554515446856855557<83>
(35·10121+1)/9 =
3(8)1209<122>
= 33 · 132 · 19 · 4393481 · 576497030951<12> · 10893233812821375277847322667<29> · 16257689025833320198369114269139116243731070091977674453964179801083181<71>
(35·10122+1)/9 =
3(8)1219<123>
= 14905840003<11> · 1448286619933<13> · 27989612154499<14> · 643602438063655812449143578769466266886660477918847414046695333011804932574097782791589<87>
(35·10123+1)/9 =
3(8)1229<124>
= 1381587624671<13> · 163716152369726009<18> · 10384299710970978120359331535825259223245131889<47> · 1655687449944933127582920897860547628511068233359<49> (Sinkiti Sibata / Msieve 1.39 for P47 x P49 / 3.27 hours / Dec 8, 2008)
(35·10124+1)/9 =
3(8)1239<125>
= 3 · 4799 · 8123 · 84311039 · 33834482543131321119226369<26> · 31800310826219221812134739687650759<35> · 3665740619432123827736592764940676340653483639151<49> (Makoto Kamada / Msieve 1.39 for P35 x P49 / 39 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10125+1)/9 =
3(8)1249<126>
= 59 · 1558891 · 122285521 · 1524368842813<13> · 22682591520338165985808385785387719844561623525304008562522093927040641854254853723443048699238997<98>
(35·10126+1)/9 =
3(8)1259<127>
= 191 · 67114366454671786121<20> · 11448376571066039089838683423737211<35> · 26499200218749713130300387657045233622273874435357161710361980927082109<71> (Erik Branger / GGNFS, Msieve snfs / 3.51 hours / Dec 8, 2008)
(35·10127+1)/9 =
3(8)1269<128>
= 3 · 13 · 599 · 7151 · 35509 · 3897717493<10> · 1968303984853<13> · 157350569567152147220378732576837537803910029<45> · 5430727809728405538160402721839618815472716167071<49> (Sinkiti Sibata / Msieve 1.39 for P45 x P49 / 0.01 hours / Dec 8, 2008)
(35·10128+1)/9 =
3(8)1279<129>
= 151 · 6823 · 23913427 · 131438117 · 120090891519761440761050264585118472766825783074038787305201523581493108957731998170125939773089429555696327<108>
(35·10129+1)/9 =
3(8)1289<130>
= 232 · 152275729 · 1492446089298751288678077876217<31> · 32347485229795269773911159388783041653533759798264519105022059164983778109899469987259937<89> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3756860056 for P31 / Dec 3, 2008)
(35·10130+1)/9 =
3(8)1299<131>
= 32 · 86377609459<11> · 249857905108748581<18> · 200211376035752268927609227598616423780773881325329540181284043608449586954547912904520801130923357999<102>
(35·10131+1)/9 =
3(8)1309<132>
= 985547 · 2047369 · 192731220407898597924576513928825750076189007414980129142310111248923195098691963839037358784549564534565698270133361523<120>
(35·10132+1)/9 =
3(8)1319<133>
= 83 · 6911 · 7561 · 80639189 · 3633643667<10> · 3837435949<10> · 146360442746779252461375979039<30> · 5448462546809631269992966923096928341449858700851669952651980451961<67> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=544301459 for P30 / Dec 3, 2008)
(35·10133+1)/9 =
3(8)1329<134>
= 3 · 13 · 2447766620080220042610121031721960294871<40> · 407371760432911602911335890107629294263445550349909740419175681492591667237407264967405890681<93> (Erik Branger / GGNFS, Msieve snfs / 3.86 hours / Dec 8, 2008)
(35·10134+1)/9 =
3(8)1339<135>
= 71 · 44943757 · 47011049 · 630801161 · 313345459492701247<18> · 13115413285834281189187469742998831758055539950839255275906999015473759688037757670359866389<92>
(35·10135+1)/9 =
3(8)1349<136>
= 1949 · 60127 · 1566450836866909116124109<25> · 21184947456388194242329460126605735558451350250877049029308496688596800273321847958805380266874269972127<104>
(35·10136+1)/9 =
3(8)1359<137>
= 3 · 17 · 5417 · 1119871 · 358467107 · 951810720294636454280684312778970536173<39> · 368407634918623356591770151280494496467035113520864797303587770043237865921507<78> (Sinkiti Sibata / Msieve / 5.38 hours / Dec 8, 2008)
(35·10137+1)/9 =
3(8)1369<138>
= definitely prime number
(35·10138+1)/9 =
3(8)1379<139>
= 179 · 5113 · 152989 · 1894729 · 13168637 · 1113136892389417748386263420477763654758808860810541133565735920642676939369930058363274077190833187560678679964331<115>
(35·10139+1)/9 =
3(8)1389<140>
= 32 · 13 · 19 · 4711525053547959827836928818968407243<37> · 3712996735489369150035175179729829418336017039152098603856719661184231606787193174795497182427779301<100> (Serge Batalov / Msieve-1.39 snfs / 3.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 9, 2008)
(35·10140+1)/9 =
3(8)1399<141>
= 1013 · 9337 · 2817599 · 6564499925209<13> · 611638929239007925767467375009<30> · 803891202777135445640155016729933566543<39> · 4521010369312349646185629427249033351108388757<46> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3169444869 for P30 / Dec 3, 2008) (Makoto Kamada / Msieve 1.39 for P39 x P46 / 54 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / Dec 6, 2008)
(35·10141+1)/9 =
3(8)1409<142>
= 494089291 · 3254984177<10> · 7991538184059115127147<22> · 49496312414403119917367633<26> · 919663280307249304984867643<27> · 6647206068560036763580200617250356609622466153939<49>
(35·10142+1)/9 =
3(8)1419<143>
= 3 · 1061 · 15860642001115756856472209121303190876727<41> · 770314607968882846559673942076146333468438492173211262631406081919930865891145617675420812966181729<99> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4239433639 for P41 / Dec 7, 2008)
(35·10143+1)/9 =
3(8)1429<144>
= 456857563587797981911<21> · 30807845048722372798703<23> · 27630159646748859897008752542207086824303957968728880264215949851985882405657172000508811511650575233<101>
(35·10144+1)/9 =
3(8)1439<145>
= 29 · 784957 · 2005931 · 5394847 · 7101533 · 3602804419<10> · 981283272449<12> · 628780921527409936769622519262033690975208217673886274677499701408818919996672715977816855558683<96>
(35·10145+1)/9 =
3(8)1449<146>
= 3 · 13 · 173 · 46301 · 17045617 · 1842706471<10> · 74365896181<11> · 80482065692066908416612753751129845520716852307<47> · 662190027785962142176186013718138487763144980919115337331166223<63> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 16.16 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Dec 10, 2008)
(35·10146+1)/9 =
3(8)1459<147>
= 4973 · 198710299 · 388205239 · 949775366340054803<18> · 3633369814248146679087833579<28> · 43740576084151262595014110169769593<35> · 6715994054043100705636974076007153320020152393<46> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2543563693 for P35 / Dec 4, 2008)
(35·10147+1)/9 =
3(8)1469<148>
= 113 · 1087 · 33829 · 16824541 · 49352957 · 28969518268133097555490043<26> · 38907265660965437995846947939075439541051172448978436540124414161993390764261320650982013538148521<98>
(35·10148+1)/9 =
3(8)1479<149>
= 33 · 923910619 · 1558948656381874408106205078091357252932489441138962113650443082640871654245660912184330265942095297828439128958998595628216158400559038753<139>
(35·10149+1)/9 =
3(8)1489<150>
= 26091809 · 11465034896004908807461<23> · 1088707817387439431350379964842563<34> · 1194083292946011325405761931527911769362936033665647008316544335094461381186494573304247<88> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2177793751 for P34 / Dec 7, 2008)
(35·10150+1)/9 =
3(8)1499<151>
= 449 · 2251 · 670051 · 2672290540824465915914614009423625553247516207069<49> · 2148880004904170262568464197161540753125392466048489311759094604779127603367722353590597069<91> (Serge Batalov / Msieve-1.39 snfs / 9.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 8, 2008)
(35·10151+1)/9 =
3(8)1509<152>
= 3 · 13 · 23 · 85243321277118516416223291923<29> · 508595753085885009678633441259990785487468732003027824661020701838237762565748455755919371907776767399652422887120889219<120>
(35·10152+1)/9 =
3(8)1519<153>
= 17 · 47 · 149 · 174466321 · 690711607 · 694720525906272967<18> · 5617937763096129305063<22> · 338727578734245577642330909<27> · 20504374150743174271290700437096077772778152482760813031911340433<65>
(35·10153+1)/9 =
3(8)1529<154>
= 337 · 171847463083151491501<21> · 38559715265314947042590710270001<32> · 17390443877201234143891250701031139775259666719<47> · 100140100604561495228549337527256127066996322341408163<54> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2328995801 for P32 / Dec 4, 2008) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P47 x P54 / 3.09 hours on Core 2 Quad Q6700 / Dec 8, 2008)
(35·10154+1)/9 =
3(8)1539<155>
= 3 · 9629 · 1346241869660708584792082559244258278425897077885861767884823238442513548962816799559971228888042679713673586349876722708792497971021182154217775777647<151>
(35·10155+1)/9 =
3(8)1549<156>
= 17328426330280651<17> · 8737120079789454811139398762185632204595767732620207073<55> · 2568609627631786308344700400368235052270213245925487584490856911668202549658932772843<85> (Serge Batalov / Msieve-1.39 snfs / 13.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 9, 2008)
(35·10156+1)/9 =
3(8)1559<157>
= 42879765185315430497<20> · 292878855232275740887814418726995651773<39> · 309660006169512256602650575144116413031660682773563091399663989195394753951491151864966823095355469<99> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2088941172 for P39 / Dec 7, 2008)
(35·10157+1)/9 =
3(8)1569<158>
= 32 · 13 · 19 · 48490980049404849877083686413436375909387700361<47> · 360765592388035467312597513412831108601623865988953111824323565795743335616112041862817403331969655385010463<108> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 snfs / 19.89 hours, 1.74 hours / Dec 10, 2008)
(35·10158+1)/9 =
3(8)1579<159>
= 6479735363<10> · 1930617658092374610982383853322441180442017<43> · 31086511703887452946743635557423166013615764652218926546381262043929479546241125975302646673487898198639859<107> (Serge Batalov / Msieve-1.39 snfs / 14.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 8, 2008)
(35·10159+1)/9 =
3(8)1589<160>
= 7829 · 1982316236372128463169333701<28> · 20276996658433163995117586251763240946991<41> · 12357843020120421119265960598992168176546184213774282216299622263920595989161202430965951<89> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=758478317 for P41 / Dec 8, 2008)
(35·10160+1)/9 =
3(8)1599<161>
= 3 · 48889 · 14158995281<11> · 3104396736833870181492437190327522026318664958142209<52> · 6032307486523415111941507522986185399490762371629962271727902737700672557187363638130272688123<94> (Sinkiti Sibata / GGNFS-0.77.1-20060513-nocona snfs / 45.77 hours on Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin / Dec 10, 2008)
(35·10161+1)/9 =
3(8)1609<162>
= 157 · 3499 · 2162183 · 571876901252956296758416030882298904111353<42> · 572515087772493770133642628444432834628357213143562046017527857271537229085382174829411992559101277600579177<108> (Serge Batalov / Msieve-1.39 snfs / 22.00 hours on Opteron-2.6GHz; Linux x86_64 / Dec 11, 2008)
(35·10162+1)/9 =
3(8)1619<163>
= 991 · 1864897813393<13> · 2104247600835510265097708306758799271287177874833532292433231239011792816766205668364869689295342375226795901068513718744040726895858992946422880503<148>
(35·10163+1)/9 =
3(8)1629<164>
= 3 · 13 · 22027 · 3772305601451741110693896034844369021299802372207123480191799<61> · 12000482490194027628192717775525574707938989420059163916800025995974556673997774191103348024966187<98> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 snfs / 29.93 hours, 2.35 hours / Dec 12, 2008)
(35·10164+1)/9 =
3(8)1639<165>
= 282833 · 347981 · 1195263561592703068137949500679<31> · 39575882037420828963570411917339240644716762775903<50> · 83530607544231245392846006539898621111183905857449706817593594044549213589<74> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1440214857 for P31 / Dec 8, 2008) (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 79.80 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Jan 30, 2009)
(35·10165+1)/9 =
3(8)1649<166>
= 397 · 9902507529972705094099711<25> · 7969168206574953146277054418993341701964192859<46> · 124130027950451329601018911129048488882630366948490024869787253847677630490858463394940065113<93> (Ignacio Santos / GGNFS, Msieve snfs / 38.30 hours / Mar 6, 2009)
(35·10166+1)/9 =
3(8)1659<167>
= 32 · 109 · 1032107 · 1671053 · 25037040739<11> · 918033614587760796181356597566868542497064382497226138073290341568653492986741415799807091750167732687279457280351109737385242746227528534601<141>
(35·10167+1)/9 =
3(8)1669<168>
= 9399905186263<13> · 1641584855370881<16> · 117604162223291467981<21> · 127461987854538798090991<24> · 233497123122207430579337078165623812031<39> · 7200353378046645802084948687027325444285796669256644994363<58> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P39 x P58 / 2.18 hours on Core 2 Quad Q6700 / Dec 7, 2008)
(35·10168+1)/9 =
3(8)1679<169>
= 17 · 13117932255751<14> · 512637923965839327881<21> · 34017351568411059332111497443854526817487043699921894789514557796944808948960297215251901507548179580488337636173166793778604570528407<134>
(35·10169+1)/9 =
3(8)1689<170>
= 3 · 13 · 712 · 31819595777<11> · 6382207139613545645860787237<28> · 33883009715076389055208625207<29> · 28747275855313972686022339866790782111280841337363152219254249752490458803546328003452745990362677<98>
(35·10170+1)/9 =
3(8)1699<171>
= 821 · 149892588592261503731<21> · 3160110129601481471520724256242281061840005378654306778594468870354244918703975469623298585832423161392006963440835680156546957692004684620809026039<148>
(35·10171+1)/9 =
3(8)1709<172>
= 1315747 · 12878217459996999966612430708842525173647<41> · 229507769468070544234606674705372447688355761067510543219870223637687579557401800773214413613089328397784365674061380352422621<126> (Dmitry Domanov / GGNFS/msieve 1.42 snfs / 78.20 hours / Oct 1, 2009)
(35·10172+1)/9 =
3(8)1719<173>
= 3 · 29 · 499 · 3072469 · 89289139 · 224628099463<12> · 189446458458487<15> · [76730674916221531715674255898959172125415471471395578093643144515407172416363777298359428016130747140024386426638475928747995643<128>] SUBMIT/RESERVE
(35·10173+1)/9 =
3(8)1729<174>
= 23 · 61 · 83 · 43457 · 18974211313350521302318093<26> · 4050105130172981475172455469669100233219958084116052273280555984952318980147987213424688416111459031121054554235097131596636190159081072061<139>
(35·10174+1)/9 =
3(8)1739<175>
= 3411004078387097156980920467<28> · 2105176968861672882237448575911<31> · 541570108905610066269020582875116224021983237559023073664656659211662593948250765859851511176229999450549945025574597<117> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2585290844 for P31 / Dec 4, 2008)
(35·10175+1)/9 =
3(8)1749<176>
= 35 · 13 · 19 · 349 · 13626800067413174777<20> · [136239486199858194619004598734144359958946836976381879042682605227305892917694637867692206010359380535177805046658444931576534909597687747950941476033<150>] SUBMIT/RESERVE
(35·10176+1)/9 =
3(8)1759<177>
= 97 · 894892931 · [4480048577988192833234805802901254850326316177602147074405857470275608224169710196151414931358424161207060622357254855429823675869729924689047082328497360912637651827<166>] SUBMIT/RESERVE
(35·10177+1)/9 =
3(8)1769<178>
= 1091 · 9341 · 3158478689449393489<19> · 281910154882292856538537842099413<33> · 428567013892142686122317248368508819380733631232867037321240754177582129396851273466877401926451847753636501150791965667<120> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1485808196 for P33 / Dec 4, 2008)
(35·10178+1)/9 =
3(8)1779<179>
= 3 · 723328843723621<15> · 1604042672514887393<19> · 113924427578431510728409<24> · 52353651649346759585876888758979954129<38> · 1873219822685721131438109990191872553706066300586969533989207471921093745994540622111<85> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=4024858816 for P38 / Jan 19, 2009)
(35·10179+1)/9 =
3(8)1789<180>
= 6887149 · 56465874179415733402731506010526110134816146549013080577883372189114666880139937278674947919507605961318520753491595562821261582824604039913887283241423829931498344073707261<173>
(35·10180+1)/9 =
3(8)1799<181>
= 6257 · 4220863619149<13> · 136381056711978494135193541037<30> · 1079702256355837774314705659099646008613439619319488765483129074856700822672384953134750738052098815447491399859784657792158977177502529<136> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3618090261 for P30 / Dec 4, 2008)
(35·10181+1)/9 =
3(8)1809<182>
= 3 · 13 · 14134739 · 3758264504002963<16> · [18770930085322895445347405923761489668175518053291251872050448627789716552734594964118462370726103487708671708591050470501623030633782278668395957435913668743<158>] SUBMIT/RESERVE
(35·10182+1)/9 =
3(8)1819<183>
= 449 · 4900386613<10> · 194201406386591<15> · 17476954301408338279<20> · [52075173765363527739465485796174932197632517033937186709114349019403313634436448415278892125103569843145184281787942845279484618250230173<137>] SUBMIT/RESERVE
(35·10183+1)/9 =
3(8)1829<184>
= 59 · 4877 · 95276399 · 101941127 · 51078483307<11> · 10472393160158247827<20> · 2601369662432934411945595234592888895329332591677180665801185353093963558661301861396505697483440114583127434391654386881781612695359<133>
(35·10184+1)/9 =
3(8)1839<185>
= 32 · 17 · 227 · 1237 · 3028427 · 6880873 · 106942088993<12> · 938679944328740548919086924469<30> · 8184269571777502631981099728373<31> · 73116907767253706535802059911323219242216637<44> · 723125958039174656868976766045499019103903811041<48> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=32890131 for P30 / Dec 4, 2008) (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2090537978 for P31 / Dec 4, 2008) (Robert Backstrom / Msieve 1.39 for P44 x P48 / 1.56 hours / Dec 8, 2008)
(35·10185+1)/9 =
3(8)1849<186>
= 401 · 1423 · 9893774377<10> · [68883349995982602472912149604062853587799183066710684258700301195759577026180694668647105871384901826721205762721378785518419412572253775979263218154251754713917163208559<170>] SUBMIT/RESERVE
(35·10186+1)/9 =
3(8)1859<187>
= 4001 · 3473279263930386643<19> · 360840367047808632995182317683<30> · [775536360251102492759807700714963109015472480233616209443577218236676821732209507743377450087485098651129223304572994352891237151244881<135>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=2472517506 for P30 / Dec 5, 2008) SUBMIT/RESERVE
(35·10187+1)/9 =
3(8)1869<188>
= 3 · 13 · 229 · 6803 · 165946619 · 555455585147537219<18> · 4965159428650814398623665321<28> · 38675511208479660394046433269<29> · 29605251527267858956304593927958498437<38> · 1221431769936255690871056105778224165151337790826816109487361<61> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P38 x P61 / 3.53 hours / Dec 8, 2008)
(35·10188+1)/9 =
3(8)1879<189>
= 173 · 20807 · 32423 · 37409 · 1841401 · 48371805134531796383725494506959571408282103900363958852818239072876525341903829110309691021671609165247008666938024060529224663462943596081518779169481987030957621557<167>
(35·10189+1)/9 =
3(8)1889<190>
= 20293470058904574878183102843477356409653799265487560509<56> · 191632524038562972599764005358059709580489479276799676408280772785787623231363395916154199246135197563472355670762941811936146063579821<135> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 242.97 hours on Core 2 Quad Q6700 / Dec 18, 2008)
(35·10190+1)/9 =
3(8)1899<191>
= 3 · 18133 · 387285994369780603<18> · 209624376426807196690783<24> · 3919701941592254012158021<25> · 63257351576766423947399512515745629216260427114779<50> · 35513787691764778266303377928648484869380394953958769263504184367442221<71> (Ignacio Santos / GGNFS, Msieve gnfs for P50 x P71 / 47.85 hours / Feb 1, 2009)
(35·10191+1)/9 =
3(8)1909<192>
= 419 · 9973 · 362570759141<12> · 256680523885667465626001327490196032785113335931531461477234010294738064615522398935800239970293375181654544153631687025529906771924638285031579822295038287323898286095025467<174>
(35·10192+1)/9 =
3(8)1919<193>
= 2039 · 63773 · 297872670657383<15> · 5144178297385089373709<22> · 19517527034434877372781126520731079207083154219444708077025496503532078038162518056295315923159199849721414378963098509960458337758404678844543578721<149>
(35·10193+1)/9 =
3(8)1929<194>
= 32 · 13 · 19 · 491083 · 148113696550363521337224777943<30> · 240511557634175469989758300396345551898577490270185503686329727880684699638227636465836184018991233490919263160520251562173783674545876544438574724044704547<156> (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=3971589362 for P30 / Dec 5, 2008)
(35·10194+1)/9 =
3(8)1939<195>
= 1089969148057409<16> · 10219198755552835523723<23> · 9323979225759446991275928931<28> · 12643344099626450719036094127714479<35> · 296163291907625435082616666878492839479545213079224774475849163360422699627509912557439311446423<96> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1697095651 for P35 / Dec 7, 2008)
(35·10195+1)/9 =
3(8)1949<196>
= 23 · 2657 · 3227618633<10> · 1428097873210962441563<22> · 14814628864316358818501<23> · [931912596600901104485320538732294744845540850522625705260752869196980718674089832169202607810451172993367362049064191893071082197854951281<138>] SUBMIT/RESERVE
(35·10196+1)/9 =
3(8)1959<197>
= 3 · 332179 · 11088048895176551020181292564409681<35> · [3519467624159191575455544285483961051122934211187407132902172790668680150206026331946662339397093151348832771154819848849822738248941373366285643225728428337<157>] (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=2788871739 for P35 / Dec 8, 2008) SUBMIT/RESERVE
(35·10197+1)/9 =
3(8)1969<198>
= 52145677 · 516369250757245745147387083<27> · [14442648847050413052943709955061277136008565666567123964244190596611431715371951473489269876781503136999683559460459127358164997817407970661112546272786629455621879<164>] SUBMIT/RESERVE
(35·10198+1)/9 =
3(8)1979<199>
= 47 · 6326374989656440646106970407770659705730121493408302755378873328843303115001775919<82> · 13078945987260134036462322502917867367044969527869559453471699062092522781634351546825345197002805196515382338315673<116> (Wataru Sakai / Msieve / 569.79 hours / Nov 6, 2009)
(35·10199+1)/9 =
3(8)1989<200>
= 3 · 132 · 4861 · 152840603 · 1156566239497<13> · 2515923827839<13> · 217505594603821<15> · 6497775628529706959<19> · 24582654665588546304875938307<29> · 521482237316465123045134535692157<33> · 1958311477916142932716389871913675734578597034889255207588628076663<67> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1731595855 for P33 / Dec 7, 2008)
(35·10200+1)/9 =
3(8)1999<201>
= 172 · 29 · 293 · 3999019603<10> · 200892193437289<15> · 6728470765532169399958286068096229<34> · [29297402016470524234096481937774452825853317683256295975854623540072654392659095875611433521676001164170111844716196224386736672898007231<137>] (Makoto Kamada / GMP-ECM 6.2.1 B1=25e4, sigma=1961032907 for P34 / Dec 5, 2008) SUBMIT/RESERVE
(35·10201+1)/9 =
3(8)2009<202>
= 431 · 12595475713148530667<20> · [716363896309824114877888899222964157069202601348187977171155306252678853139277120870748818844887234648222292551732957661238360808038282241261728331090057416687877324294727303185157<180>] SUBMIT/RESERVE
(35·10202+1)/9 =
3(8)2019<203>
= 33 · 250067171 · 9619709867<10> · [598746676792000566499001874842761236310505497107265006110880058349352259184367913436881014549581914873551329783959554767032934728497894500211382234961037016126315854210167066361097051<183>] SUBMIT/RESERVE
(35·10203+1)/9 =
3(8)2029<204>
= 151 · 35879 · 38651597856270173<17> · 1857123583651763949049654697676015382191167286955007563423640054815258430483706197941528175493353590517978274368293273072902273315991117336903601679739364257632882644578945782968717<181>
(35·10204+1)/9 =
3(8)2039<205>
= 71 · 359 · 10399 · 114531542096417446468313<24> · 84236514375392918434791697369357<32> · 1520742429925480309249157950965972233006436876279608768273203997250036059628029585673421815262936750036842572532516227046661639296824396080139<142> (Serge Batalov / GMP-ECM 6.2.1 B1=3000000, sigma=1498511238 for P32 / Dec 7, 2008)
(35·10205+1)/9 =
3(8)2049<206>
= 3 · 13 · 11719 · 24155994319<11> · [3522455009742933813083925591542111258354259022344605384229591363070965906548232676179907712374140114342751927652602987374493504917457651853611205856260771238691214270255367867087612603352391<190>] SUBMIT/RESERVE

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.