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Factorizations of 688...883

Table of contents

  1. About 688...883
  2. Prime numbers of the form 688...883
  3. Factorizations of 688...883
  4. References

1. About 688...883

First ten terms

63, 683, 6883, 68883, 688883, 6888883, 68888883, 688888883, 6888888883, 68888888883

General term

(62·10n-53)/9

2. Prime numbers of the form 688...883

Last update

Dec 15, 2010

Searched up to

n≤30000

Difficulty of search

17.98%

Results

  1. (62·102-53)/9 = 683 is prime.
  2. (62·103-53)/9 = 6883 is prime.
  3. (62·108-53)/9 = 688888883 is prime.
  4. (62·1050-53)/9 = 6(8)493<51> is prime.
  5. (62·1056-53)/9 = 6(8)553<57> is prime.
  6. (62·1072-53)/9 = 6(8)713<73> is prime.
  7. (62·10108-53)/9 = 6(8)1073<109> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  8. (62·10132-53)/9 = 6(8)1313<133> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  9. (62·10182-53)/9 = 6(8)1813<183> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  10. (62·101100-53)/9 = 6(8)10993<1101> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  11. (62·101368-53)/9 = 6(8)13673<1369> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 5, 2005)
  12. (62·101605-53)/9 = 6(8)16043<1606> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 10, 2006)
  13. (62·105132-53)/9 = 6(8)51313<5133> is prime. (searched by Makoto Kamada / PFGW / Dec 21, 2004) (certified by Serge Batalov / PFGW, CHG.gp, chgcertd.gp / Dec 15, 2010)
  14. (62·1022682-53)/9 = 6(8)226813<22683> is PRP. (Ray Chandler / srsieve, PFGW / Sep 13, 2010)

3. Factorizations of 688...883

Last update

Dec 21, 2011

Completed up to

Range

n≤200

Terms which have not been factored yet

n=173, 179, 180, 184, 187, 192, 193, 197, 199, 200 (10/200)

Results

(62·101-53)/9 =
63
= 32 · 7
(62·102-53)/9 =
683
= definitely prime number
(62·103-53)/9 =
6883
= definitely prime number
(62·104-53)/9 =
68883
= 3 · 22961
(62·105-53)/9 =
688883
= 13 · 19 · 2789
(62·106-53)/9 =
6888883
= 569 · 12107
(62·107-53)/9 =
68888883
= 3 · 7 · 3280423
(62·108-53)/9 =
688888883
= definitely prime number
(62·109-53)/9 =
6888888883<10>
= 373 · 18468871
(62·1010-53)/9 =
68888888883<11>
= 33 · 29 · 87980701
(62·1011-53)/9 =
688888888883<12>
= 13 · 232 · 100172879
(62·1012-53)/9 =
6888888888883<13>
= 5209 · 1322497387<10>
(62·1013-53)/9 =
68888888888883<14>
= 3 · 7 · 172 · 47 · 149 · 263 · 6163
(62·1014-53)/9 =
688888888888883<15>
= 8719 · 79010080157<11>
(62·1015-53)/9 =
6888888888888883<16>
= 389 · 1097 · 16143323551<11>
(62·1016-53)/9 =
68888888888888883<17>
= 3 · 22962962962962961<17>
(62·1017-53)/9 =
688888888888888883<18>
= 13 · 52991452991452991<17>
(62·1018-53)/9 =
6888888888888888883<19>
= 43661 · 44171 · 3572056093<10>
(62·1019-53)/9 =
68888888888888888883<20>
= 32 · 7 · 1093474426807760141<19>
(62·1020-53)/9 =
688888888888888888883<21>
= 191 · 98401753 · 36653291221<11>
(62·1021-53)/9 =
6888888888888888888883<22>
= 197 · 541 · 64637669374150979<17>
(62·1022-53)/9 =
68888888888888888888883<23>
= 3 · 68564641 · 334909694385521<15>
(62·1023-53)/9 =
688888888888888888888883<24>
= 13 · 19 · 14347 · 194397702770991887<18>
(62·1024-53)/9 =
6888888888888888888888883<25>
= 282479945017<12> · 24387178666699<14>
(62·1025-53)/9 =
68888888888888888888888883<26>
= 3 · 7 · 6977 · 7057 · 110913973 · 600696059
(62·1026-53)/9 =
688888888888888888888888883<27>
= 22713665380633<14> · 30329269950251<14>
(62·1027-53)/9 =
6888888888888888888888888883<28>
= 107 · 4063407109<10> · 15844373310735941<17>
(62·1028-53)/9 =
68888888888888888888888888883<29>
= 32 · 7654320987654320987654320987<28>
(62·1029-53)/9 =
688888888888888888888888888883<30>
= 13 · 17 · 71 · 1553 · 28270084195195866702121<23>
(62·1030-53)/9 =
6888888888888888888888888888883<31>
= 83 · 547 · 151734298559258361905880683<27>
(62·1031-53)/9 =
68888888888888888888888888888883<32>
= 3 · 7 · 331 · 479 · 20690280483782807985420427<26>
(62·1032-53)/9 =
688888888888888888888888888888883<33>
= 199 · 4110800131859<13> · 842111778597088663<18>
(62·1033-53)/9 =
6888888888888888888888888888888883<34>
= 23 · 16142997765256123<17> · 18553983130518527<17>
(62·1034-53)/9 =
68888888888888888888888888888888883<35>
= 3 · 981349556125307<15> · 23399371630256138723<20>
(62·1035-53)/9 =
688888888888888888888888888888888883<36>
= 13 · 163 · 419 · 5122981 · 71594911 · 2115433130282533<16>
(62·1036-53)/9 =
6888888888888888888888888888888888883<37>
= 1778033 · 1162547297<10> · 3332719266703114444483<22>
(62·1037-53)/9 =
68888888888888888888888888888888888883<38>
= 33 · 72 · 13217671 · 28610237 · 137693342577403029323<21>
(62·1038-53)/9 =
688888888888888888888888888888888888883<39>
= 29 · 109 · 7172791 · 30383409544818927068471236333<29>
(62·1039-53)/9 =
6888888888888888888888888888888888888883<40>
= 125921944020413<15> · 54707612263134552622230191<26>
(62·1040-53)/9 =
68888888888888888888888888888888888888883<41>
= 3 · 173 · 439231979 · 302195414508567659038883479583<30>
(62·1041-53)/9 =
688888888888888888888888888888888888888883<42>
= 132 · 19 · 617 · 7604131 · 3652884427<10> · 12518093427570952657<20>
(62·1042-53)/9 =
6888888888888888888888888888888888888888883<43>
= 86877392549<11> · 236845372261117<15> · 334793870849570051<18>
(62·1043-53)/9 =
68888888888888888888888888888888888888888883<44>
= 3 · 7 · 14461 · 900937 · 251789222144630940403467313285339<33>
(62·1044-53)/9 =
688888888888888888888888888888888888888888883<45>
= 359 · 3023 · 634770279195516719900345161458427717019<39>
(62·1045-53)/9 =
6888888888888888888888888888888888888888888883<46>
= 17 · 885201223 · 3201641299<10> · 142983386841933139670128487<27>
(62·1046-53)/9 =
68888888888888888888888888888888888888888888883<47>
= 32 · 2593 · 63352646911<11> · 46595007843065431713874036587269<32>
(62·1047-53)/9 =
688888888888888888888888888888888888888888888883<48>
= 13 · 1009 · 2383 · 3037 · 73602601941461<14> · 98594493391281167300929<23>
(62·1048-53)/9 =
6888888888888888888888888888888888888888888888883<49>
= 1543 · 44381 · 1664324917<10> · 60443284400319324369978996307253<32>
(62·1049-53)/9 =
68888888888888888888888888888888888888888888888883<50>
= 3 · 7 · 23599 · 2105543814697<13> · 675493376658173<15> · 97735177681028917<17>
(62·1050-53)/9 =
688888888888888888888888888888888888888888888888883<51>
= definitely prime number
(62·1051-53)/9 =
6(8)503<52>
= 61 · 353627 · 71049884730142177<17> · 4494801847221898674970552157<28>
(62·1052-53)/9 =
6(8)513<53>
= 3 · 1201 · 1619 · 75600448033216621217<20> · 156211750787662605576532507<27>
(62·1053-53)/9 =
6(8)523<54>
= 13 · 1487 · 605261961533837<15> · 79961000159771161<17> · 736331297799904349<18>
(62·1054-53)/9 =
6(8)533<55>
= 59 · 227 · 2313017449537<13> · 2038569116819730619<19> · 109085483649008156377<21>
(62·1055-53)/9 =
6(8)543<56>
= 32 · 7 · 23 · 34610698093<11> · 1373632113839435035489696536948475657616519<43>
(62·1056-53)/9 =
6(8)553<57>
= definitely prime number
(62·1057-53)/9 =
6(8)563<58>
= 837947203 · 8221149094149895848377083119029026568501940436561<49>
(62·1058-53)/9 =
6(8)573<59>
= 3 · 1312 · 1338090027560338148299222828679154068117415241708697801<55>
(62·1059-53)/9 =
6(8)583<60>
= 13 · 19 · 47 · 18371 · 19753 · 2032559 · 80453575012214577292045939899286609253311<41>
(62·1060-53)/9 =
6(8)593<61>
= 5807 · 19750517 · 60064640987045223926285021712313935973880003599657<50>
(62·1061-53)/9 =
6(8)603<62>
= 3 · 7 · 17 · 1709 · 2134981549<10> · 203116173618272447419<21> · 260375590921886092526756461<27>
(62·1062-53)/9 =
6(8)613<63>
= 229 · 787 · 7732169 · 494353516335165059624262241580125720944474116571109<51>
(62·1063-53)/9 =
6(8)623<64>
= 2069 · 3825439 · 3934739 · 28234088972815587705097<23> · 7834615715371670147103211<25>
(62·1064-53)/9 =
6(8)633<65>
= 34 · 71 · 647 · 142555111 · 102980470961<12> · 1261141640595630227114719008741571884709<40>
(62·1065-53)/9 =
6(8)643<66>
= 13 · 26393 · 579497069 · 3865616401391<13> · 417584725733899<15> · 2146359506019722698397047<25>
(62·1066-53)/9 =
6(8)653<67>
= 29 · 157 · 28657163 · 51436637782069802237<20> · 1026468823245519892064620574115840581<37>
(62·1067-53)/9 =
6(8)663<68>
= 3 · 7 · 1481 · 44357633 · 225542503 · 13197422338212103202213<23> · 16776020671643781281151109<26>
(62·1068-53)/9 =
6(8)673<69>
= 5231 · 129517 · 79070197 · 38807119194910741<17> · 331370206450897416159979345544057977<36>
(62·1069-53)/9 =
6(8)683<70>
= 40800169 · 20792268281939080627<20> · 8120548188093404426046140088978702809058841<43>
(62·1070-53)/9 =
6(8)693<71>
= 3 · 51287 · 2157247 · 1574945037540922871<19> · 131781775109571426194603295077816596697119<42>
(62·1071-53)/9 =
6(8)703<72>
= 13 · 83 · 1973 · 138829 · 29614607982235139081<20> · 78707200707824039829899075519246070957901<41>
(62·1072-53)/9 =
6(8)713<73>
= definitely prime number
(62·1073-53)/9 =
6(8)723<74>
= 32 · 7 · 1399 · 16631 · 182047 · 15937307 · 1023810591613<13> · 106208941064055737<18> · 148968138408381071628661<24>
(62·1074-53)/9 =
6(8)733<75>
= 136271238067760495311652321<27> · 5055277244537404135576352891786464407693922725523<49>
(62·1075-53)/9 =
6(8)743<76>
= 14816318669204676246814930759<29> · 464952802561358306481127059360693172990386061237<48>
(62·1076-53)/9 =
6(8)753<77>
= 3 · 1787 · 4007 · 97903172029119381571<20> · 32755728848923300288820536641372331942228999433399<50>
(62·1077-53)/9 =
6(8)763<78>
= 13 · 17 · 19 · 23 · 7133053303466548856237912638504912027593411359732533510969370439016420979<73>
(62·1078-53)/9 =
6(8)773<79>
= 393541 · 1029859 · 9208040947747687<16> · 296134144780363111<18> · 6233410087154544802515325092290701<34>
(62·1079-53)/9 =
6(8)783<80>
= 3 · 73 · 66947413886189396393478026131087355577151495518842457617967822049454702515927<77>
(62·1080-53)/9 =
6(8)793<81>
= 107 · 45707 · 9861274892544445473573260897115212579<37> · 14283992711523566845460794559071971673<38> (Makoto Kamada / msieve 0.83)
(62·1081-53)/9 =
6(8)803<82>
= 233 · 16649 · 99901 · 332569 · 21670283 · 2466544315669749020570156001418395654869717278527528949637<58>
(62·1082-53)/9 =
6(8)813<83>
= 32 · 601 · 6959 · 146767 · 12469726984451398366975393120716668491092276113308865378877916574013779<71>
(62·1083-53)/9 =
6(8)823<84>
= 13 · 173 · 77412482604441049453<20> · 3956842185185719793189387847208666389094800303739022726934439<61>
(62·1084-53)/9 =
6(8)833<85>
= 1423969 · 1527371 · 452370929 · 7001795415873796831703769577023972444363717762541536189537079273<64>
(62·1085-53)/9 =
6(8)843<86>
= 3 · 7 · 1123 · 123637 · 6671642647557059<16> · 3541350351458451334561014845933392598567313503515632973592947<61>
(62·1086-53)/9 =
6(8)853<87>
= 2621 · 3545377463341816741<19> · 74134383340183313187651217467528934812742155451666696925942190403<65>
(62·1087-53)/9 =
6(8)863<88>
= 3209 · 818603 · 24863434432389575156041<23> · 105473901927475322169708028459122398806654333879675874569<57>
(62·1088-53)/9 =
6(8)873<89>
= 3 · 169866421 · 10597100729740439987680169<26> · 12756552664003686031147049547720691901814509532962340389<56>
(62·1089-53)/9 =
6(8)883<90>
= 13 · 9811 · 3387621940172231<16> · 4114871208943246244069<22> · 387472931317328958422167807381830973464732293879<48>
(62·1090-53)/9 =
6(8)893<91>
= 422445855460927997483<21> · 33556672148916735676465680323<29> · 485958565647795068214767734140618990559987<42>
(62·1091-53)/9 =
6(8)903<92>
= 33 · 7 · 68147 · 115741 · 456475591771<12> · 5142932518265017644167<22> · 19684528537336160259425730358782206832838792973<47>
(62·1092-53)/9 =
6(8)913<93>
= 4241 · 6163 · 26356560813489638111539324454224598971855218803304417252890780150671700990837069365201<86>
(62·1093-53)/9 =
6(8)923<94>
= 17 · 18948525347<11> · 21385767533307912170737843380813672786944484717236250941811611079590302210813696417<83>
(62·1094-53)/9 =
6(8)933<95>
= 3 · 29 · 97 · 8163157825440086371476346591881607878763939908625297889428710616055088148938131163513317797<91>
(62·1095-53)/9 =
6(8)943<96>
= 13 · 19 · 307 · 21997 · 34142503 · 332176439323<12> · 1204375671856677769<19> · 121716805655290953857<21> · 248412642307416152548425223783<30>
(62·1096-53)/9 =
6(8)953<97>
= 937 · 325667092395508138920526121<27> · 95741090263364731118422293703<29> · 235796494159920180143575982409661253093<39>
(62·1097-53)/9 =
6(8)963<98>
= 3 · 7 · 2389 · 17733347 · 42195566902351<14> · 1835085050439015562773556017271007487632716806458061157715139913869059831<73>
(62·1098-53)/9 =
6(8)973<99>
= 857 · 12974534799727<14> · 61955028758851972754801279504243920904718883494662475413412520183041869675512332997<83>
(62·1099-53)/9 =
6(8)983<100>
= 23 · 71 · 5593080827<10> · 68812692541<11> · 10960827636837620453177242450207825113387293750786123288655106395484748103293<77>
(62·10100-53)/9 =
6(8)993<101>
= 32 · 2273 · 3367497134911711829148403426156762423077131978730453580138284640411051908338900566499921244018619<97>
(62·10101-53)/9 =
6(8)1003<102>
= 13 · 23251728891511<14> · 2279032808214089446136663768676020052224253621621430501322238301048550088272902351394681<88>
(62·10102-53)/9 =
6(8)1013<103>
= 461 · 971 · 5234821 · 608238767329856403231492542029<30> · 4833403936780460989909255914993332444536391473076934345986077<61> (Sinkiti Sibata / Msieve 1.42 for P30 x P61 / 1.08 hours / Oct 19, 2009)
(62·10103-53)/9 =
6(8)1023<104>
= 3 · 7 · 44789 · 633596467349<12> · 20489869764516817636841<23> · 2091306858961996157313463337<28> · 2697669937496756913918572268363832079<37>
(62·10104-53)/9 =
6(8)1033<105>
= 98429 · 7996135078594847<16> · 875277944546341190501520024739394283833575466620771222205201228044176432994191333041<84>
(62·10105-53)/9 =
6(8)1043<106>
= 47 · 159137420172433<15> · 127349145601808743<18> · 7232408921599725180800609070286806649010270554344988224191954532781365131<73>
(62·10106-53)/9 =
6(8)1053<107>
= 3 · 113 · 11116067 · 16672547 · 1917905057249<13> · 12503923897550914363542721328779<32> · 45721761051315303484508810863903696812464253643<47> (Makoto Kamada / Msieve 1.42 for P32 x P47 / Oct 19, 2009)
(62·10107-53)/9 =
6(8)1063<108>
= 13 · 68437349759<11> · 1347694514561<13> · 17440928299500689<17> · 32942123214583773758603846951008151653988352373057305386999827045681<68>
(62·10108-53)/9 =
6(8)1073<109>
= definitely prime number
(62·10109-53)/9 =
6(8)1083<110>
= 32 · 7 · 17 · 418506778607605679698237<24> · 153694105792841950610308704181948371281200956788920544448114129738875533761346121729<84>
(62·10110-53)/9 =
6(8)1093<111>
= 147231400776881<15> · 194515565010121<15> · 1269732347255548376022933253021410325919<40> · 18944458379391368190158730640812933874910357<44> (Makoto Kamada / Msieve 1.42 for P40 x P44 / Oct 19, 2009)
(62·10111-53)/9 =
6(8)1103<112>
= 61 · 1090221497<10> · 3656180389<10> · 28331984073498917684990407501443101367648701591939978165821491850382196930949575909973436891<92>
(62·10112-53)/9 =
6(8)1113<113>
= 3 · 59 · 83 · 17404799 · 269419365580029272816469820042457166241927262577106032305707202073074092564490696377105633844112460687<102>
(62·10113-53)/9 =
6(8)1123<114>
= 13 · 19 · 673 · 992223307 · 1063435579931<13> · 3927503237224680430799420758807540851530004146936072957722555668752201408524687623994429<88>
(62·10114-53)/9 =
6(8)1133<115>
= 23667079 · 291074740946649516355139934627711720947434573099996365791016664493699830422203301425109912756402633755052277<108>
(62·10115-53)/9 =
6(8)1143<116>
= 3 · 7 · 191 · 148808921 · 219472177828399<15> · 326879794344541<15> · 56504568025147639<17> · 28471899502391722241004336164699174066481470191138989340093<59>
(62·10116-53)/9 =
6(8)1153<117>
= 163 · 2801 · 6679840150123809044106204970050911<34> · 225882401828618911503033856318130927193899656636246403015114140502544786702431<78> (Serge Batalov / Msieve v. 1.44 SVN130 snfs / 0.77 hours / Oct 20, 2009)
(62·10117-53)/9 =
6(8)1163<118>
= 4127 · 9804449 · 112984010357<12> · 433521166879<12> · 4608165234450536482751<22> · 754286236810225754980964124189472516279084936145442818965837657<63>
(62·10118-53)/9 =
6(8)1173<119>
= 33 · 105854887097<12> · 871160852814744599<18> · 27667897063121991567755689674535080368402932407969012863115472346723885927831927099976343<89>
(62·10119-53)/9 =
6(8)1183<120>
= 132 · 197 · 2851 · 254046508858892934445411<24> · 28568392292101461750289899904624360936012816605149302252813563353697973068997920223361671<89>
(62·10120-53)/9 =
6(8)1193<121>
= 401 · 781400782447<12> · 482405308064170957733903050853<30> · 45574182575106151558337843101685805891290347589926937888473827782420994639913<77> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=578454154 / Oct 18, 2009)
(62·10121-53)/9 =
6(8)1203<122>
= 3 · 72 · 23 · 547 · 135607 · 79958873 · 180710756350297<15> · 508257390153719<15> · 270003465424968056889793715401<30> · 138525863661582180904788443560115323359340453<45> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3755067476 / Oct 18, 2009)
(62·10122-53)/9 =
6(8)1213<123>
= 29 · 132334703 · 1890862439<10> · 75758258119039<14> · 3240072375431047797243291826273<31> · 386752213777628326595914391950321943476350166705076893653673<60> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3333449080 / Oct 18, 2009)
(62·10123-53)/9 =
6(8)1223<124>
= 942637 · 1099236740404454597537<22> · 8226127289692476371319524848640942547201787<43> · 808198493369811057446035929143293359486982523771510861<54> (Markus Tervooren / Oct 19, 2009)
(62·10124-53)/9 =
6(8)1233<125>
= 3 · 370427 · 3404473 · 3712531 · 19489374341863<14> · 417074852550523729196087<24> · 603383466319532700227327603801040621865461260628911158942828904849881<69>
(62·10125-53)/9 =
6(8)1243<126>
= 13 · 17 · 167 · 59160769 · 315505274995743914984956426899490556694173360011994704697871343228215432290850910613819476890592283648873710547801<114>
(62·10126-53)/9 =
6(8)1253<127>
= 173 · 12758567 · 1078536023989751339<19> · 78386413610940286599153430380427<32> · 36916942752550184917976993403193051422617760309595195906576668662321<68> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=932430793 for P32 / Oct 25, 2009)
(62·10127-53)/9 =
6(8)1263<128>
= 32 · 7 · 4373075016167159<16> · 5453325435685665821475301936816985008441<40> · 45852211565333095184206412202116635585191607632222241319520518384375539<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.22 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 29, 2009)
(62·10128-53)/9 =
6(8)1273<129>
= 172687 · 22708380787<11> · 1664032005959132837<19> · 105570284492663064648265419065370629172920373840590904570432516259965058815168484742069636127811<96>
(62·10129-53)/9 =
6(8)1283<130>
= 617 · 1861 · 5999535713349150818941463207411787713589519314295645314415829562092920615594941539846642190496290303211696617413381461221759<124>
(62·10130-53)/9 =
6(8)1293<131>
= 3 · 827 · 209767934901885224303739917497<30> · 27526445632823402801555781212943586751<38> · 4808760820477327944086801289662261340494201135301405931889669<61> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2956527615 for P30 / Oct 25, 2009) (Sinkiti Sibata / Msieve 1.42 snfs / 1 hour 55 min, 0.12 hours / Oct 29, 2009)
(62·10131-53)/9 =
6(8)1303<132>
= 13 · 19 · 199 · 10513 · 81899 · 2213322253356502762971124059611562807329201224533739<52> · 7354433687504421692647292079401137480439947289067440673701943894427<67> (Erik Branger / GGNFS, Msieve snfs / 4.98 hours / Oct 29, 2009)
(62·10132-53)/9 =
6(8)1313<133>
= definitely prime number
(62·10133-53)/9 =
6(8)1323<134>
= 3 · 7 · 1072 · 907 · 2289278554181<13> · 10629282830317033<17> · 12982323887859053141836442058860516271892144890733669593843149985590879207139602590362457211468657<98>
(62·10134-53)/9 =
6(8)1333<135>
= 71 · 571 · 809 · 115867212779005898579<21> · 181278225569940150941649364303135152541764323902040493556058134308053901415553431944915617174967727188376333<108>
(62·10135-53)/9 =
6(8)1343<136>
= 9909859 · 695155086352781496577185294855243539679917634437471702562961681784664028911903679849419541578632843200785085730169207138960189937<129>
(62·10136-53)/9 =
6(8)1353<137>
= 32 · 578104135471<12> · 13240384418662045941713420453405509639020876312665516990963682494522248197955446359879964795876883961046756121198300812309397<125>
(62·10137-53)/9 =
6(8)1363<138>
= 13 · 379 · 9913338693829<13> · 92016598929517614098722805673273505224217<41> · 153278236964167015210420723223931171496148765949262538905208174029503679220103953<81> (Erik Branger / GGNFS, Msieve snfs / 7.17 hours / Oct 30, 2009)
(62·10138-53)/9 =
6(8)1373<139>
= 302791 · 77761357942084376053452253<26> · 2598917760441813104579654155912123<34> · 112577044979171717082980452895774413486489534296882540558515482893898057627<75> (Sinkiti Sibata / Msieve 1.40 snfs / 9.15 hours / Oct 31, 2009)
(62·10139-53)/9 =
6(8)1383<140>
= 3 · 7 · 5717 · 369255581 · 3244926862035919103<19> · 12636939835943186520877<23> · 37895513352668306014971617488552871788751731109376651729794467042011975520632901402429<86>
(62·10140-53)/9 =
6(8)1393<141>
= 179 · 363896476067<12> · 477963635654411<15> · 515803180255627489616321311<27> · 3198418875632240379011137191604877<34> · 13412325599365541821859014592804644094125132239526043<53> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1421997904 for P34 / Oct 25, 2009)
(62·10141-53)/9 =
6(8)1403<142>
= 17 · 181 · 331 · 463 · 467 · 1021 · 30638681807566461462919885196044510986136259558136175448658999084484164495809884125398011160038816268609139303816519666065813149<128>
(62·10142-53)/9 =
6(8)1413<143>
= 3 · 38231 · 1897221955530729728636794936489<31> · 316587764021525936138950181020917122053434327967423987470819925009163201030651339553471066974369806252970879<108> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 23.85 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 31, 2009)
(62·10143-53)/9 =
6(8)1423<144>
= 13 · 23 · 292091 · 74147646382470298060152019<26> · 106380602604511725887126673097311669286262122133484516816013481015102211017312688860991935996157347924033590073<111>
(62·10144-53)/9 =
6(8)1433<145>
= 157 · 853 · 13313 · 3863888312822091934139397758040765803700634631758344271862483198868677034331932153005183224132654679017865104976591506082488391526991571<136>
(62·10145-53)/9 =
6(8)1443<146>
= 34 · 7 · 4444002491<10> · 286154403651761<15> · 20277487323458673341622013549649441909<38> · 4711695927599623445659927588915785695966831005489230458903957349220464530717361011<82> (Sinkiti Sibata / Msieve 1.40 snfs / 12.36 hours / Nov 2, 2009)
(62·10146-53)/9 =
6(8)1453<147>
= 109 · 3546785903202467<16> · 185105741159841547<18> · 7988310259462790706409802227377510746398133<43> · 1205071721783088836806307130889214158089504203258137865788043317649411<70> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 6.61 hours on Core 2 Quad Q6700 / Nov 4, 2009)
(62·10147-53)/9 =
6(8)1463<148>
= 193 · 219617649126448594971647<24> · 162526668302257112767437795342548863672511004342028746709172958330130367000256356604124098219985106041988658778251712783373<123>
(62·10148-53)/9 =
6(8)1473<149>
= 3 · 2957 · 554396173829032040309<21> · 80618323734034493160877932323<29> · 15649311336687670483003413809050773543817<41> · 11102668729253886618598862637858746443379270194714314067<56> (Sinkiti Sibata / Msieve 1.40 gnfs for P41 x P56 / 7.06 hours / Oct 30, 2009)
(62·10149-53)/9 =
6(8)1483<150>
= 13 · 19 · 822023080792100030591391359<27> · 3392877775363584697805171775862103569436144633173086246241031082098722262200960904407656867216320866003121887562551735771<121>
(62·10150-53)/9 =
6(8)1493<151>
= 29 · 9210591331619<13> · 661875852763457366391885680418340090691973432419556589889316841<63> · 38966117144008027984903360062825590816642015961644316334865082860882091613<74> (Dmitry Domanov / GGNFS/msieve snfs / 14.57 hours / Nov 4, 2009)
(62·10151-53)/9 =
6(8)1503<152>
= 3 · 7 · 47 · 7129 · 298039419281<12> · 32849571144206791748212380721376338342659453394201146444649348351696840414622125326983042115935783889681857512806637765768589156334241<134>
(62·10152-53)/9 =
6(8)1513<153>
= 223 · 3089187842551071250622820129546586945690084703537618335824613851519681116093672147483806676631788739412057797708021923268560039860488290981564524165421<151>
(62·10153-53)/9 =
6(8)1523<154>
= 83 · 4562669 · 3487114261<10> · 47815697752352098457986363218128078130226492291799893<53> · 109097663147591498526380294134197245187003896362469052701235847091686578792333022573<84> (Dmitry Domanov / GGNFS/msieve snfs / 20.98 hours / Dec 27, 2009)
(62·10154-53)/9 =
6(8)1533<155>
= 32 · 13903 · 274848383 · 27177024634853961229302371<26> · 720951878610382542862347981801121436850590767518884611777<57> · 102234334845267243275213765013617623444440744591194671442489<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon gnfs for P57 x P60 / 25.02 hours / Dec 27, 2009)
(62·10155-53)/9 =
6(8)1543<156>
= 13 · 177618299814797<15> · 247308839864411253781<21> · 47735772794944627957723<23> · 1613415422874158534770360813<28> · 15663482171782023727775623838339286363886712773566621288071788110717937<71>
(62·10156-53)/9 =
6(8)1553<157>
= 20149 · 2889493 · 296092480355417714661032125185595033281118861<45> · 20758746508962225695125662243311466530433706035881<50> · 19250655970989913827479711758654941345071207658101759<53> (Dmitry Domanov / GGNFS/msieve snfs / 19.06 hours / Dec 27, 2009)
(62·10157-53)/9 =
6(8)1563<158>
= 3 · 7 · 17 · 1931 · 19027310111<11> · 1009579076745651883621<22> · 5202127022673483866763157361968476040917098726564492682447739024635800345191053989185341886120821340177574079591440281279<121>
(62·10158-53)/9 =
6(8)1573<159>
= 10559 · 53667033257<11> · 1215678685469713357728031050131286303314521964065482868720297520269267110415898322277307202015601091832695637323067209846898782335230369413535941<145>
(62·10159-53)/9 =
6(8)1583<160>
= 6451 · 89603 · 24151511949547<14> · 23434651549253488163<20> · 56733980844004191674104429<26> · 6913740595674469850260253857<28> · 53683450820129577385819657037425472386298642776633932709918029367<65>
(62·10160-53)/9 =
6(8)1593<161>
= 3 · 313 · 391516847 · 2929674531395509720008490951855848061<37> · 63960780933066026225889687195304074812081561846826503281813538817936673009349384729463814205722125431075503229891<113> (Dmitry Domanov / Msieve 1.40 snfs / 41.96 hours / Dec 27, 2009)
(62·10161-53)/9 =
6(8)1603<162>
= 13 · 149 · 77641013 · 127707233 · 102322578465517031591779<24> · 11960866514737977396638783337798921138905588800243622081<56> · 29307498526691833945064051908979105022980074012255518963162561629<65> (Sinkiti Sibata / Msieve 1.42 snfs / 24 hours / Dec 27, 2009)
(62·10162-53)/9 =
6(8)1613<163>
= 45611139659<11> · 175272982010623343239142643114028008357154746833<48> · 861714261444738727799575807339674929308162554957775684179834721627582712649671488802043744845370581238889<105> (Dmitry Domanov / GGNFS/msieve snfs / 61.54 hours / Dec 29, 2009)
(62·10163-53)/9 =
6(8)1623<164>
= 32 · 72 · 330679 · 4270614031633<13> · 121593957804855019406957269<27> · 421359634148449679503611987525809228247095227<45> · 2158980547576076331195633807409370919273961035961813522980909861195924043<73> (Sinkiti Sibata / Msieve 1.40 snfs / 48.74 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 28, 2009)
(62·10164-53)/9 =
6(8)1633<165>
= 743 · 1532767 · 633530057 · 68997060190453<14> · 14405634451650799883013270136121502812538572067316870435141<59> · 960625306551355252396433427445539024827607900530267787643549237643417707163<75> (Sinkiti Sibata / Msieve 1.42 snfs / 45 hours / Dec 29, 2009)
(62·10165-53)/9 =
6(8)1643<166>
= 23 · 708007 · 9603703 · 394188427 · 127150229916701<15> · 80810031805635305016954254596961635449067010224362111397<56> · 10875738946488051043066043397230534340610408749309092430572368264539058879<74> (Sinkiti Sibata / Msieve 1.40 snfs / 50.65 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Jan 19, 2010)
(62·10166-53)/9 =
6(8)1653<167>
= 3 · 1559 · 14729289905685030765210367519540066044235383555460527878744684389328391894139168032689520822939681182144299527237307865915948019860784453472073741477205236024992279<164>
(62·10167-53)/9 =
6(8)1663<168>
= 13 · 19 · 227 · 160367 · 140948161 · 1206163879<10> · 322024305254452102869430181<27> · 1729520952968508772086642422849<31> · 809153938919659955368014104485821731191672124357414020493860487054096582100393371411<84> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2436662220 for P31 / Dec 24, 2009)
(62·10168-53)/9 =
6(8)1673<169>
= 110206946329693<15> · 62508663186077402027649618220860628047878995266773106137980297602473719137780308377265854722650398531269626561641694516256295667069859657717269914703098831<155>
(62·10169-53)/9 =
6(8)1683<170>
= 3 · 7 · 71 · 173 · 1072793 · 33706548729056745629121167503<29> · 1526568046346414834239657673989825139<37> · 4838146872015767768001030987421981831864644663863774917922618347544565075277396770748172624401<94> (Dmitry Domanov / GGNFS/msieve snfs / 69.31 hours / Dec 27, 2009)
(62·10170-53)/9 =
6(8)1693<171>
= 59 · 270601 · 68557074144373<14> · 1378980780509198221<19> · 218244138448334551103<21> · 892360093425924165816911<24> · 5913956466210240881279218529771<31> · 396274778070371690428244336006643086547562468363055097923<57> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=520786949 for P31 / Dec 24, 2009)
(62·10171-53)/9 =
6(8)1703<172>
= 61 · 3877 · 6163 · 1686813797826990853301624742922031<34> · 2801974841498440886713853217405816697767288924251102822978976415316512634872870114314753957537146240630772194781600409525135462463<130> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2427329313 for P34 / Dec 28, 2009)
(62·10172-53)/9 =
6(8)1713<173>
= 33 · 1069 · 942859 · 3417301796234040167791177556673613091709653<43> · 869804199332915910684758080184966508596531687823610061<54> · 851640144200094946892761292551419006555815189350577103252654175703<66> (Ignacio Santos / GGNFS, Msieve snfs / Mar 16, 2010)
(62·10173-53)/9 =
6(8)1723<174>
= 13 · 17 · 97943 · 409996373 · 6265524218077<13> · [12389280229544056210577735329356472476608809123368437993624661424124659705148226612193117443220169713390797891453625110908301590720388809691497641<146>] SUBMIT/RESERVE
(62·10174-53)/9 =
6(8)1733<175>
= 487 · 253924605747649<15> · 49053522751818263891277788647754272963035957532615741269983080900466591256913<77> · 1135651896676281692220708006381685243534169942647111263412366826028565134971034757<82> (Wataru Sakai / Dec 3, 2010)
(62·10175-53)/9 =
6(8)1743<176>
= 3 · 7 · 2409253506945224571941<22> · 2471026921951254263530660746966514677507943<43> · 551023230281615495491937700494515453769661993790489678724961033344676296545497737190106230633593240048300176621<111> (Rich Dickerson / GMP-ECM 6.3 [config GMP 5.0.1] [ECM] B1=11000000, sigma=1940429908 for P43 / Feb 6, 2011)
(62·10176-53)/9 =
6(8)1753<177>
= 143519 · 164796581 · 6525844107399038347<19> · 761561088199209374645978939<27> · 5860708789927688859942899972866271769937541403169667817842296314541403338372335679314236220125114773545102936334927009<118>
(62·10177-53)/9 =
6(8)1763<178>
= 257 · 7687 · 19318742564929<14> · 71894491164457811<17> · 42776078088945127837726561<26> · 58692653190603990698103307572700411871297867300546835206206191620453734058015226249582576176258867045299363401986743<116>
(62·10178-53)/9 =
6(8)1773<179>
= 3 · 29 · 9311 · 12401 · 1580357 · 11337631 · 124979888554167681844535399731<30> · 47901112739302581248782367179548774690040283732294382227<56> · 63931314705324075400313085309685865468340845967529011190422151201977161<71> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3036645586 for P30 / Dec 24, 2009) (Warut Roonguthai / Msieve 1.48 gnfs for P56 x P71 / Dec 20, 2011)
(62·10179-53)/9 =
6(8)1783<180>
= 13 · 119549 · 944947890661<12> · 7530548118487<13> · 45790944690753433<17> · [1360334864527114687474807977151197663339124082823579390288381706849461603267611657413647430505074546922988294000257117614008396853489<133>] SUBMIT/RESERVE
(62·10180-53)/9 =
6(8)1793<181>
= 336983 · 142304707396870915639<21> · [143655388546144398321852019985558407170321017260871645167492426361194255002898232191608776269799911517833179502092420518151215908756240339556838360072359459<156>] SUBMIT/RESERVE
(62·10181-53)/9 =
6(8)1803<182>
= 32 · 7 · 5788782984487<13> · 188895391265848857316052052797915492107328510304972102332132099317961201484492776018153828786308758295097243846473079159833253051628931572954065921059893148726124905643<168>
(62·10182-53)/9 =
6(8)1813<183>
= definitely prime number
(62·10183-53)/9 =
6(8)1823<184>
= 49957 · 73549743713<11> · 44751302721901<14> · 21048395114725867940226061<26> · 1990430399886776494855845894119795667050856155229892452225752656269694111573498852729791013236328637963209833537494007208997906783<130>
(62·10184-53)/9 =
6(8)1833<185>
= 3 · 1039 · 31231 · 122606706017447033708937747330104177<36> · [5771813142367102101502617562543158707992306506045345341723835884798094371840110390166578203101816798667629760018485303677692252686890515616177<142>] (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=905967735 for P36 / Jul 1, 2010) SUBMIT/RESERVE
(62·10185-53)/9 =
6(8)1843<186>
= 13 · 19 · 720475313849927443140126987070704370619709467972415583757555099887065583<72> · 3871088693867955038511054494353741616762738850725601899148075483677655898700743318118727450778504979599969171883<112> (Dmitry Domanov / GGNFS/msieve snfs / 264.05 hours / Jan 3, 2010)
(62·10186-53)/9 =
6(8)1853<187>
= 107 · 498056800528742588479657412721746192942489443519<48> · 129266660108135257286938079199893122030311025444449516617909250929619731894052765717142414754516238819629578974911250362523515937577022951<138> (Dmitry Domanov / GGNFS/msieve snfs / 251.78 hours / Dec 31, 2009)
(62·10187-53)/9 =
6(8)1863<188>
= 3 · 7 · 23 · 505065154139083<15> · 86409906874088236009430172978923<32> · [3268068160848127717092229859211312542964815148910934676081283343774505170312558888470796404782161489277755226808226402718027103814193046489<139>] (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=4122516632 for P32 / May 19, 2011) SUBMIT/RESERVE
(62·10188-53)/9 =
6(8)1873<189>
= 131 · 56570821 · 151744379 · 4180066799<10> · 1571958660841<13> · 114668448101613221121599<24> · 813026146266870466680443555900599128944290905502823842687214797973580716543163128645616276246951868366853575779097727614678847<126>
(62·10189-53)/9 =
6(8)1883<190>
= 17 · 383 · 61223 · 1972291 · 2351398328558519776782761<25> · 7707898789256464185934781193053<31> · 29471498372209642104069875882663<32> · 16404064186384735732773583819863695292622654824965057826824483345818291685475856449978499<89> (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=2894234393 for P31 / May 19, 2011)
(62·10190-53)/9 =
6(8)1893<191>
= 32 · 97 · 4179695236348540273034359<25> · 18879492686375512424708241435513839821669786537479180820929132772879265069841177721106196274733095804823515903449081093748387824625758444910873054236241979789349469<164>
(62·10191-53)/9 =
6(8)1903<192>
= 13 · 16952676206317<14> · 26192287930055857428966760949369366323065089475334125016893673551982560350399004587<83> · 119342223308216634095637757990987232721075548511308766351372412037883846852659232880989512237329<96> (matsui / Msieve 1.48 snfs / Oct 16, 2010)
(62·10192-53)/9 =
6(8)1913<193>
= 1244639797309<13> · 706555114828963<15> · [7833565010887227156293341722304454696678835637493135530520605604175212912495197180216902961756204422136156989510951415477766769068572996314532028683752630720880953349<166>] SUBMIT/RESERVE
(62·10193-53)/9 =
6(8)1923<194>
= 3 · 7 · 7459 · 280843 · 1538277935616333271<19> · [1018007233331060477943888514170163703258057135050389127683877416243454905494439729899502830081258149546520165643301253186034809547785861061268305760566204605198128049<166>] SUBMIT/RESERVE
(62·10194-53)/9 =
6(8)1933<195>
= 83 · 19365041239477236295912987<26> · 23693839992856163352509279<26> · 18089110436692459725688054160161152998193477396858113195470301649193026528985856984526583460804580598630212880542809929059834206416693685638637<143>
(62·10195-53)/9 =
6(8)1943<196>
= 373 · 36209 · 510062995823908582626828212831485313398294462872115533085799761459990498184533601646213510741141030501495665126794709096799944564379176454425916570657591230957487047299861008656320236240119<189>
(62·10196-53)/9 =
6(8)1953<197>
= 3 · 491 · 6475153 · 1466710019<10> · 160815410828615201363009<24> · 30621360000891551501347609138349863433665359125744345847758384388282072358283953411224703350840777959213732575955404646316566482880129074308922800904114817<155>
(62·10197-53)/9 =
6(8)1963<198>
= 132 · 47 · 163 · 9529021 · 79731097 · [700327192492938830646341050949137353100384453025624862654877966732741428715264704779512439036269523765081838038921949259470524440378980807188033301111853928479510540817535463051<177>] SUBMIT/RESERVE
(62·10198-53)/9 =
6(8)1973<199>
= 4104219277<10> · 23337010241<11> · 409310131516357<15> · 99666784136493492488583852515726727463<38> · 557317243145268053560077703249270498538199406259231<51> · 3163501080000725102891533661924883673479897597543287043777571143209414524939<76> (Ignacio Santos / GMP-ECM 6.3 B1=11000000, sigma=3159666219 for P38 / May 19, 2011) (Warut Roonguthai / Msieve 1.47 gnfs for P51 x P76 / Jun 16, 2011)
(62·10199-53)/9 =
6(8)1983<200>
= 33 · 7 · 33524801 · 2729417869<10> · 262495019417<12> · 892089211361629<15> · [17010684202253040965942389522151682788312336649536201635980944010653360508112160689917393579020289417688595317377005282138023156662893278262060087842164991<155>] SUBMIT/RESERVE
(62·10200-53)/9 =
6(8)1993<201>
= 6421 · 744313293105586067092665649907<30> · [144142063420479122147401213810671687743839732342839527019694707245092769789881521981642453357447390269521405675059121896807539256314225009173420348310833276709098446589<168>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3413238282 for P30 / Dec 25, 2009) SUBMIT/RESERVE

4. References

Copyright (C) 1999-2011 Makoto Kamada All Rights Reserved.